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講演会
過去の記録 ～04/23｜次回の予定｜今後の予定 04/24～
過去の記録
2012年06月13日(水)
17:00-18:00 数理科学研究科棟(駒場) 122号室
Sunder Sethuraman 氏 (University of Arizona)
A KPZ equation for zero-range interactions (ENGLISH)
Sunder Sethuraman 氏 (University of Arizona)
A KPZ equation for zero-range interactions (ENGLISH)
[ 講演概要 ]
We derive a type of KPZ equation, in terms of a martingale problem, as a scaling limit of fluctuation fields in weakly asymmetric zero-range processes. Joint work (in progress) with Milton Jara and Patricia Goncalves.
We derive a type of KPZ equation, in terms of a martingale problem, as a scaling limit of fluctuation fields in weakly asymmetric zero-range processes. Joint work (in progress) with Milton Jara and Patricia Goncalves.
2012年06月13日(水)
11:00-15:30 数理科学研究科棟(駒場) 128号室
S. Harase, et. al. 氏 (Tokyo Institute of Technology/JSPS)
Workshop for Quasi-Monte Carlo and Pseudo Random Number Generation (ENGLISH)
[ 参考URL ]
http://sites.google.com/a/craft.titech.ac.jp/workshop-on-qmc-and-prng-2012-utms/
S. Harase, et. al. 氏 (Tokyo Institute of Technology/JSPS)
Workshop for Quasi-Monte Carlo and Pseudo Random Number Generation (ENGLISH)
[ 参考URL ]
http://sites.google.com/a/craft.titech.ac.jp/workshop-on-qmc-and-prng-2012-utms/
2012年06月12日(火)
09:50-17:10 数理科学研究科棟(駒場) 118号室
Josef Dick, et. al. 氏 (Univ. New South Wales)
Workshop for Quasi-Monte Carlo and Pseudo Random Number Generation (ENGLISH)
[ 参考URL ]
http://sites.google.com/a/craft.titech.ac.jp/workshop-on-qmc-and-prng-2012-utms/
Josef Dick, et. al. 氏 (Univ. New South Wales)
Workshop for Quasi-Monte Carlo and Pseudo Random Number Generation (ENGLISH)
[ 参考URL ]
http://sites.google.com/a/craft.titech.ac.jp/workshop-on-qmc-and-prng-2012-utms/
2012年05月30日(水)
14:50-16:20 数理科学研究科棟(駒場) 123号室
This is the fourth of four lectures planned on 5/25, 5/28, 5/29 and 5/30.
Harald Niederreiter 氏 (RICAM, Austrian Academy of Sciences)
Low-discrepancy sequences and algebraic curves over finite fields (III) (ENGLISH)
[ 参考URL ]
https://www.ms.u-tokyo.ac.jp/~matumoto/WORKSHOP/workshop2012.html
This is the fourth of four lectures planned on 5/25, 5/28, 5/29 and 5/30.
Harald Niederreiter 氏 (RICAM, Austrian Academy of Sciences)
Low-discrepancy sequences and algebraic curves over finite fields (III) (ENGLISH)
[ 参考URL ]
https://www.ms.u-tokyo.ac.jp/~matumoto/WORKSHOP/workshop2012.html
2012年05月29日(火)
14:50-16:20 数理科学研究科棟(駒場) 123号室
This is the third of four lectures; the first is the colloquium on May 25th(Fri) 16:30--17:30 at 002 and the second is on May 28th(Mon).
Harald Niederreiter 氏 (RICAM, Austrian Academy of Sciences)
Low-discrepancy sequences and algebraic curves over finite fields (II) (ENGLISH)
[ 参考URL ]
https://www.ms.u-tokyo.ac.jp/~matumoto/WORKSHOP/workshop2012.html
This is the third of four lectures; the first is the colloquium on May 25th(Fri) 16:30--17:30 at 002 and the second is on May 28th(Mon).
Harald Niederreiter 氏 (RICAM, Austrian Academy of Sciences)
Low-discrepancy sequences and algebraic curves over finite fields (II) (ENGLISH)
[ 参考URL ]
https://www.ms.u-tokyo.ac.jp/~matumoto/WORKSHOP/workshop2012.html
2012年05月28日(月)
14:50-16:20 数理科学研究科棟(駒場) 123号室
This is the second of four lectures; the first is the colloquium on May 25th(Fri) 16:30--17:30 at 002.
Harald Niederreiter 氏 (RICAM, Austrian Academy of Sciences)
Low-discrepancy sequences and algebraic curves over finite fields (I) (ENGLISH)
https://www.ms.u-tokyo.ac.jp/~matumoto/WORKSHOP/workshop2012.html
This is the second of four lectures; the first is the colloquium on May 25th(Fri) 16:30--17:30 at 002.
Harald Niederreiter 氏 (RICAM, Austrian Academy of Sciences)
Low-discrepancy sequences and algebraic curves over finite fields (I) (ENGLISH)
[ 講演概要 ]
This is the second of the four lectures. The first one is Colloquium talk on May 25th 16:30--17:30 at 002.
Abstract from Colloquium:
Quasi-Monte Carlo (QMC) methods are deterministic analogs of statistical Monte Carlo
methods in computational mathematics. QMC methods employ evenly distributed
low-discrepancy sequences instead of the random samples used in Monte Carlo methods.
For many types of computational problems, QMC methods are more efficient than
Monte Carlo methods. After a general introduction to QMC methods, the talk focuses
on the problem of constructing low-discrepancy sequences which has fascinating links
with subjects such as finite fields, error-correcting codes, and algebraic curves.
[ 参考URL ]This is the second of the four lectures. The first one is Colloquium talk on May 25th 16:30--17:30 at 002.
Abstract from Colloquium:
Quasi-Monte Carlo (QMC) methods are deterministic analogs of statistical Monte Carlo
methods in computational mathematics. QMC methods employ evenly distributed
low-discrepancy sequences instead of the random samples used in Monte Carlo methods.
For many types of computational problems, QMC methods are more efficient than
Monte Carlo methods. After a general introduction to QMC methods, the talk focuses
on the problem of constructing low-discrepancy sequences which has fascinating links
with subjects such as finite fields, error-correcting codes, and algebraic curves.
https://www.ms.u-tokyo.ac.jp/~matumoto/WORKSHOP/workshop2012.html
2012年05月08日(火)
14:40-16:10 数理科学研究科棟(駒場) 470号室
境 圭一 氏 (信州大学理学部)
埋め込みの空間とストリング・トポロジー (JAPANESE)
境 圭一 氏 (信州大学理学部)
埋め込みの空間とストリング・トポロジー (JAPANESE)
[ 講演概要 ]
埋め込みの空間のトポロジーには、(自由)ループ空間のトポロジーと類似する点がいくつも見られます。
この講演では、その類似性について、ストリング・トポロジーを中心に概観したいと思います。
埋め込みの空間のトポロジーには、(自由)ループ空間のトポロジーと類似する点がいくつも見られます。
この講演では、その類似性について、ストリング・トポロジーを中心に概観したいと思います。
2012年03月23日(金)
10:30-11:30 数理科学研究科棟(駒場) 117号室
R. Penner 氏 (Aarhus/Caltech)
Cell decomposition of homotopy Deligne-Mumford. (ENGLISH)
R. Penner 氏 (Aarhus/Caltech)
Cell decomposition of homotopy Deligne-Mumford. (ENGLISH)
[ 講演概要 ]
A long-standing problem has been to extend the ideal cell decomposition of Riemann's moduli space to its compactification by stable curves. In joint work with Doug LaFountain, we have solved this problem with an explicit generalization of fatgraphs. The solution immediately provides a construction of odd-degree cycles, which are conjectured to be non-trivial, thus addressing yet another long-standing issue.
A long-standing problem has been to extend the ideal cell decomposition of Riemann's moduli space to its compactification by stable curves. In joint work with Doug LaFountain, we have solved this problem with an explicit generalization of fatgraphs. The solution immediately provides a construction of odd-degree cycles, which are conjectured to be non-trivial, thus addressing yet another long-standing issue.
2012年03月21日(水)
10:15-12:00 数理科学研究科棟(駒場) 123号室
R. Penner 氏 (Aarhus/Caltech)
Geochemical structure of biological macromolecules (ENGLISH)
R. Penner 氏 (Aarhus/Caltech)
Geochemical structure of biological macromolecules (ENGLISH)
[ 講演概要 ]
This first of two lectures will explain the basic combinatorial and geometrical structures of both protein and RNA. It is intended to set the stage of subsequent discussions for an audience with mathematical background.
This first of two lectures will explain the basic combinatorial and geometrical structures of both protein and RNA. It is intended to set the stage of subsequent discussions for an audience with mathematical background.
2012年03月21日(水)
15:15-17:00 数理科学研究科棟(駒場) 123号室
R. Penner 氏 (Aarhus/Caltech)
Moduli space techniques in computational biology
(ENGLISH)
R. Penner 氏 (Aarhus/Caltech)
Moduli space techniques in computational biology
(ENGLISH)
[ 講演概要 ]
Basic fatgraph models of RNA and protein will be discussed, where edges are associated with base pairs in the former case and with hydrogen bonds between backbone atoms in the latter. For RNA, this leads to new methods described by context-free grammars of RNA folding prediction including certain classes of pseudo-knots. For protein, beyond these discrete invariants lie continuous ones which associate a rotation of
3-dimensional space to each hydrogen bond linking a pair of peptide units. Histograms of these rotations over the entire database of proteins exhibit a small number of "peptide unit legos" which can be used to advantage for the protein folding problem.
Basic fatgraph models of RNA and protein will be discussed, where edges are associated with base pairs in the former case and with hydrogen bonds between backbone atoms in the latter. For RNA, this leads to new methods described by context-free grammars of RNA folding prediction including certain classes of pseudo-knots. For protein, beyond these discrete invariants lie continuous ones which associate a rotation of
3-dimensional space to each hydrogen bond linking a pair of peptide units. Histograms of these rotations over the entire database of proteins exhibit a small number of "peptide unit legos" which can be used to advantage for the protein folding problem.
2011年12月09日(金)
10:40-11:30 数理科学研究科棟(駒場) 122号室
Erwin Bolthausen 氏 (University of Zurich)
An iterative construction of solutions of the TAP equation (ENGLISH)
Erwin Bolthausen 氏 (University of Zurich)
An iterative construction of solutions of the TAP equation (ENGLISH)
[ 講演概要 ]
The TAP equation (Thouless-Anderson-Palmer) describes the so-called pure states in the Sherrington-Kirkpatrick model. A mathematical rigorous derivation of the equation exists only in the high temperature regime. We propose an interative construction of solutions of the equations which is shown to converge up to the de Almayda-Thouless line. The iteration makes sense also beyond this line, but it fails to converge. However, some properties of the iteration can also been proved beyond the AT-line.
The TAP equation (Thouless-Anderson-Palmer) describes the so-called pure states in the Sherrington-Kirkpatrick model. A mathematical rigorous derivation of the equation exists only in the high temperature regime. We propose an interative construction of solutions of the equations which is shown to converge up to the de Almayda-Thouless line. The iteration makes sense also beyond this line, but it fails to converge. However, some properties of the iteration can also been proved beyond the AT-line.
2011年12月09日(金)
10:40-11:30 数理科学研究科棟(駒場) 122号室
Erwin Bolthausen 氏 (University of Zurich)
An iterative construction of solutions of the TAP equation (ENGLISH)
Erwin Bolthausen 氏 (University of Zurich)
An iterative construction of solutions of the TAP equation (ENGLISH)
[ 講演概要 ]
The TAP equation (Thouless-Anderson-Palmer) describes the so-called pure states in the Sherrington-Kirkpatrick model. A mathematical rigorous derivation of the equation exists only in the high temperature regime. We propose an interative construction of solutions of the equations which is shown to converge up to the de Almayda-Thouless line. The iteration makes sense also beyond this line, but it fails to converge. However, some properties of the iteration can also been proved beyond the AT-line.
The TAP equation (Thouless-Anderson-Palmer) describes the so-called pure states in the Sherrington-Kirkpatrick model. A mathematical rigorous derivation of the equation exists only in the high temperature regime. We propose an interative construction of solutions of the equations which is shown to converge up to the de Almayda-Thouless line. The iteration makes sense also beyond this line, but it fails to converge. However, some properties of the iteration can also been proved beyond the AT-line.
2011年12月07日(水)
16:00-18:00 数理科学研究科棟(駒場) 122号室
Michel Cristofol 氏 (マルセイユ大学) 16:00-17:00
"Inverse problems associated with linear and non-linear parabolic systems " (ENGLISH)
"Hautus test for the approximate controllability of linear systems" (ENGLISH)
Michel Cristofol 氏 (マルセイユ大学) 16:00-17:00
"Inverse problems associated with linear and non-linear parabolic systems " (ENGLISH)
[ 講演概要 ]
In this talk, I present several inverse reconstruction results for linear and non linear parabolic systems with different coupling terms : for linear systems with reaction-convection terms and for cooperative systems like Lotka Volterra systems with strong coupling terms. I will show different approaches to prove uniqueness of the coefficients via Carleman inequalities or via regularities properties of the solutions.
Guillaume Olive 氏 (マルセイユ大学) 17:00-18:00In this talk, I present several inverse reconstruction results for linear and non linear parabolic systems with different coupling terms : for linear systems with reaction-convection terms and for cooperative systems like Lotka Volterra systems with strong coupling terms. I will show different approaches to prove uniqueness of the coefficients via Carleman inequalities or via regularities properties of the solutions.
"Hautus test for the approximate controllability of linear systems" (ENGLISH)
[ 講演概要 ]
We will introduce some generalization of the Hautus test to linear parabolic systems and give some applications to the distributed and boundary approximate controllability of such systems.
We will introduce some generalization of the Hautus test to linear parabolic systems and give some applications to the distributed and boundary approximate controllability of such systems.
2011年12月01日(木)
16:30-18:00 数理科学研究科棟(駒場) 117号室
Spyridon Michalakis 氏 (Caltech)
Stability of topological phases of matter (ENGLISH)
Spyridon Michalakis 氏 (Caltech)
Stability of topological phases of matter (ENGLISH)
2011年11月29日(火)
16:30-18:00 数理科学研究科棟(駒場) 126号室
Spyridon Michalakis 氏 (Caltech)
Stability of topological phases of matter (ENGLISH)
Spyridon Michalakis 氏 (Caltech)
Stability of topological phases of matter (ENGLISH)
2011年11月24日(木)
16:30-18:00 数理科学研究科棟(駒場) 117号室
Spyridon Michalakis 氏 (Caltech)
Stability of topological phases of matter (ENGLISH)
Spyridon Michalakis 氏 (Caltech)
Stability of topological phases of matter (ENGLISH)
2011年11月18日(金)
15:00-16:00 数理科学研究科棟(駒場) 052号室
磯崎 洋 氏 (筑波大学)
Inverse problems for heat equations with discontinuous conductivities
(JAPANESE)
磯崎 洋 氏 (筑波大学)
Inverse problems for heat equations with discontinuous conductivities
(JAPANESE)
[ 講演概要 ]
In a bounded domain $\\Omega \\subset {\\bf R}^n$, consider the heat
equation $\\partial_tu = \\nabla(\\gamma(t,x)\\nabla u)$. The heat
conductivity is assumed to be piecewise constant : $\\gamma = k^2$ on
$\\Omaga_1(t) \\subset\\subset \\Omega$, $\\gamma(t,x) = 1$ on
$\\Omega\\setminus\\Omega_1(t)$. In this talk, we present recent results
for the inverse problems of reconstructing $\\gamma(t,x)$ from the
Dirichlet-to-Neumann map :
$u(t)|_{\\partial\\Omega} \\to $\\partial_{\\nu}u|_{\\partial\\Omega}$ for a time
interval $(0,T)$. These are the joint works with P.Gaitan, O.Poisson,
S.Siltanen, J.Tamminen.
In a bounded domain $\\Omega \\subset {\\bf R}^n$, consider the heat
equation $\\partial_tu = \\nabla(\\gamma(t,x)\\nabla u)$. The heat
conductivity is assumed to be piecewise constant : $\\gamma = k^2$ on
$\\Omaga_1(t) \\subset\\subset \\Omega$, $\\gamma(t,x) = 1$ on
$\\Omega\\setminus\\Omega_1(t)$. In this talk, we present recent results
for the inverse problems of reconstructing $\\gamma(t,x)$ from the
Dirichlet-to-Neumann map :
$u(t)|_{\\partial\\Omega} \\to $\\partial_{\\nu}u|_{\\partial\\Omega}$ for a time
interval $(0,T)$. These are the joint works with P.Gaitan, O.Poisson,
S.Siltanen, J.Tamminen.
2011年06月13日(月)
16:00-17:30 数理科学研究科棟(駒場) 128号室
CHEN Hua 氏 (Wuhan University)
Regularity of Solutions for a Class of Degenerate Equations (ENGLISH)
CHEN Hua 氏 (Wuhan University)
Regularity of Solutions for a Class of Degenerate Equations (ENGLISH)
[ 講演概要 ]
In this talk, I would report some recent joint results on the Gevrey (or analytic) regularities of solutions for some degenerate partial differential equations, which including
(1) generalized Kolmogorov equations,
(2) Fokker-Planck equations,
(3) Landau equations and
(4) sub-elliptic Monge-Ampere equations.
In this talk, I would report some recent joint results on the Gevrey (or analytic) regularities of solutions for some degenerate partial differential equations, which including
(1) generalized Kolmogorov equations,
(2) Fokker-Planck equations,
(3) Landau equations and
(4) sub-elliptic Monge-Ampere equations.
2011年03月31日(木)
13:00-14:00 数理科学研究科棟(駒場) 118号室
中止になりました。
Alain Joye 氏 (Univ. Grenoble)
Dynamical localization for unitary Anderson models (JAPANESE)
中止になりました。
Alain Joye 氏 (Univ. Grenoble)
Dynamical localization for unitary Anderson models (JAPANESE)
2011年03月31日(木)
14:30-15:30 数理科学研究科棟(駒場) 118号室
中止になりました。
Gerard Ben Arous 氏 (Courant Institute, New York Univ.)
Stable limits for biased random walks on random trees (JAPANESE)
中止になりました。
Gerard Ben Arous 氏 (Courant Institute, New York Univ.)
Stable limits for biased random walks on random trees (JAPANESE)
[ 講演概要 ]
It is well know that transport in random media can be hampered by dead-end regions and that the velocity can even vanish for strong drifts. We study this phenomenon in great detail for random trees. That is, we study the behavior of biased random walks on supercritical random trees with leaves, in the sub-ballistic regime. When the drift is strong enough it is well known that trapping in the dead-ends of the tree, causes the velocity to vanish. We study the behavior of the walk in this regime, and in particular find the exponents for the mean displacement and the time to reach a given large distance. We also establish a scaling limit result in the case where the drift are random and a non-lattice condition is satisfied. (Joint work with Alexander Fribergh, Alan Hammond, Nina Gantert)
It is well know that transport in random media can be hampered by dead-end regions and that the velocity can even vanish for strong drifts. We study this phenomenon in great detail for random trees. That is, we study the behavior of biased random walks on supercritical random trees with leaves, in the sub-ballistic regime. When the drift is strong enough it is well known that trapping in the dead-ends of the tree, causes the velocity to vanish. We study the behavior of the walk in this regime, and in particular find the exponents for the mean displacement and the time to reach a given large distance. We also establish a scaling limit result in the case where the drift are random and a non-lattice condition is satisfied. (Joint work with Alexander Fribergh, Alan Hammond, Nina Gantert)
2011年03月22日(火)
14:00-15:00 数理科学研究科棟(駒場) 128号室
中止になりました。
Amir Dembo 氏 (Stanford Univ.)
Potts models and Bethe states on sparse random graphs (JAPANESE)
中止になりました。
Amir Dembo 氏 (Stanford Univ.)
Potts models and Bethe states on sparse random graphs (JAPANESE)
[ 講演概要 ]
Theoretical models of disordered materials lead to challenging mathematical problems with applications to random combinatorial problems and coding theory. The underlying mathematical structure is that of many discrete variables that are strongly interacting according to a mean field model determined by a random sparse graph. Focusing on ferromagnetic Potts measures on random finite graphs that converge locally to trees we validate the `cavity' prediction for the limiting free energy per spin and show that local marginals are approximated well by the belief propagation algorithm. This is a concrete example of the more general approximation by Bethe measures, namely, the local convergence of the Boltzmann distribution on the original graph to the Boltzmann distribution on an appropriate infinite random tree (this talk is based on a joint work with Andrea Montanari and Nike Sun).
Theoretical models of disordered materials lead to challenging mathematical problems with applications to random combinatorial problems and coding theory. The underlying mathematical structure is that of many discrete variables that are strongly interacting according to a mean field model determined by a random sparse graph. Focusing on ferromagnetic Potts measures on random finite graphs that converge locally to trees we validate the `cavity' prediction for the limiting free energy per spin and show that local marginals are approximated well by the belief propagation algorithm. This is a concrete example of the more general approximation by Bethe measures, namely, the local convergence of the Boltzmann distribution on the original graph to the Boltzmann distribution on an appropriate infinite random tree (this talk is based on a joint work with Andrea Montanari and Nike Sun).
2011年03月03日(木)
13:30-14:30 数理科学研究科棟(駒場) 270号室
Stefano Olla 氏 (Univ. Paris Dauphine)
Energy Diffusion: hydrodynamic, weak coupling, kinetic limits (ENGLISH)
Stefano Olla 氏 (Univ. Paris Dauphine)
Energy Diffusion: hydrodynamic, weak coupling, kinetic limits (ENGLISH)
[ 講演概要 ]
I will review recent results about weak coupling and kinetic limits for the energy diffusive evolution in hamiltonian systems perturbed by energy-conservating noise. Two universality classes of diffusion are obtained: Ginzburg-Landau dynamics that arise from weak coupling limit of anharmonic oscillators, and exclusion type processes that arise from kinetic limit (rarefied collisions) of interacting billiards. Works in collaboration with Carlangelo Liverani (weak coupling) and Francois Huveneers (kinetic limits).
I will review recent results about weak coupling and kinetic limits for the energy diffusive evolution in hamiltonian systems perturbed by energy-conservating noise. Two universality classes of diffusion are obtained: Ginzburg-Landau dynamics that arise from weak coupling limit of anharmonic oscillators, and exclusion type processes that arise from kinetic limit (rarefied collisions) of interacting billiards. Works in collaboration with Carlangelo Liverani (weak coupling) and Francois Huveneers (kinetic limits).
2011年03月03日(木)
14:45-15:45 数理科学研究科棟(駒場) 270号室
長田 博文 氏 (九大数理)
Singularity and absolute continuity of Palm measures of Ginibre random fields
(ENGLISH)
長田 博文 氏 (九大数理)
Singularity and absolute continuity of Palm measures of Ginibre random fields
(ENGLISH)
[ 講演概要 ]
The Ginibre random point field is a probability measure on the configuration space over the complex plane $\\mathbb{C}$, which is translation and rotation invariant. Intuitively, the interaction potential of this random point field is the two dimensional Coulomb potential with $\\beta = 2 $. This fact is justified by the integration by parts formula.
Since the two dimensional Coulomb potential is quite strong at infinity, the property of the Ginibre random point field is different from that of Gibbs measure with Ruelle class potentials. As an instance, we prove that the Palm measure of the Ginibre random point field is singular to the original Ginibre random point field. Moreover, all Palm measures conditioned at $x \\in \\mathbb{C}$ are mutually absolutely continuous.
The Ginibre random point field is a probability measure on the configuration space over the complex plane $\\mathbb{C}$, which is translation and rotation invariant. Intuitively, the interaction potential of this random point field is the two dimensional Coulomb potential with $\\beta = 2 $. This fact is justified by the integration by parts formula.
Since the two dimensional Coulomb potential is quite strong at infinity, the property of the Ginibre random point field is different from that of Gibbs measure with Ruelle class potentials. As an instance, we prove that the Palm measure of the Ginibre random point field is singular to the original Ginibre random point field. Moreover, all Palm measures conditioned at $x \\in \\mathbb{C}$ are mutually absolutely continuous.
2011年03月03日(木)
16:00-16:30 数理科学研究科棟(駒場) 270号室
針谷 祐 氏 (東北大理)
A proof of the Brascamp-Lieb inequality based on Skorokhod embedding (ENGLISH)
針谷 祐 氏 (東北大理)
A proof of the Brascamp-Lieb inequality based on Skorokhod embedding (ENGLISH)
[ 講演概要 ]
In this talk, we provide a probabilistic approach to the Brascamp-Lieb inequality based on Skorokhod embedding. An extension of the inequality to non-convex potentials will also be discussed.
In this talk, we provide a probabilistic approach to the Brascamp-Lieb inequality based on Skorokhod embedding. An extension of the inequality to non-convex potentials will also be discussed.
2011年02月28日(月)
17:00-18:00 数理科学研究科棟(駒場) 470号室
Ying Tan 氏 (The University of Melbourne)
Extremum Seeking Control: history and recent developments (ENGLISH)
Ying Tan 氏 (The University of Melbourne)
Extremum Seeking Control: history and recent developments (ENGLISH)
[ 講演概要 ]
A control system which is to determine and maintain the extremum value of a function is called extremum seeking control. The first extremum seeking control application appeared in 1922, in which the extremum seeking control was applied to electric railways. The first rigorous local stability analysis for an ESC scheme was recently proved in 2000 and later extended to semi-global stability analysis 2006.. This has spurred a renewed interest in this research area, leading to numerous practical implementations of the scheme. This talk will first revisit the history of extremum seeking control. It is followed by an explanation how the extremum seeking works. Finally, it will focus on the latest unifying framework that combines arbitrary continuous optimization algorithms with an estimator for derivatives of the unknown reference-to-output steady state map that contains an extremum.
A control system which is to determine and maintain the extremum value of a function is called extremum seeking control. The first extremum seeking control application appeared in 1922, in which the extremum seeking control was applied to electric railways. The first rigorous local stability analysis for an ESC scheme was recently proved in 2000 and later extended to semi-global stability analysis 2006.. This has spurred a renewed interest in this research area, leading to numerous practical implementations of the scheme. This talk will first revisit the history of extremum seeking control. It is followed by an explanation how the extremum seeking works. Finally, it will focus on the latest unifying framework that combines arbitrary continuous optimization algorithms with an estimator for derivatives of the unknown reference-to-output steady state map that contains an extremum.
