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On a Representation of the Limit Occupational Measures Set of a Control System with Applications to Singularly Perturbed Control Systems

JOURNAL ARTICLE published January 2004 in SIAM Journal on Control and Optimization

Authors: Vladimir Gaitsgory

https://doi.org/10.1137/s0363012903424186 Actions

Multiscale Singularly Perturbed Control Systems: Limit Occupational Measures Sets and Averaging

JOURNAL ARTICLE published January 2002 in SIAM Journal on Control and Optimization

Authors: Vladimir Gaitsgory | Minh-Tuan Nguyen

https://doi.org/10.1137/s0363012901393055 Actions

Limit Occupational Measures Set for a Control System and Averaging of Singularly Perturbed Control Systems

JOURNAL ARTICLE published May 1999 in Journal of Mathematical Analysis and Applications

Authors: V Gaitsgory | A Leizarowitz

https://doi.org/10.1006/jmaa.1999.6281 Actions

Suboptimization of Singularly Perturbed Control Systems

JOURNAL ARTICLE published September 1992 in SIAM Journal on Control and Optimization

Authors: Vladimir Gaitsgory

https://doi.org/10.1137/0330065 Actions

Multiscale singularly perturbed control systems: limit occupational measures sets and averaging

PROCEEDINGS ARTICLE published in 42nd IEEE International Conference on Decision and Control (IEEE Cat. No.03CH37475)

Authors: V. Gaitsgory

https://doi.org/10.1109/cdc.2003.1272695 Actions

Existence of limit occupational measures set used for averaging of singularly perturbed controlled stochastic differential equations

PROCEEDINGS ARTICLE published 2006 in Proceedings of the 45th IEEE Conference on Decision and Control

Authors: Vivek Borkar | Vladimir Gaitsgory

https://doi.org/10.1109/cdc.2006.377570 Actions

On Existence of Limit Occupational Measures Set of a Controlled Stochastic Differential Equation

JOURNAL ARTICLE published January 2005 in SIAM Journal on Control and Optimization

Authors: Vivek Borkar | Vladimir Gaitsgory

https://doi.org/10.1137/s0363012904443476 Actions

Suboptimal control of singularly perturbed systems and periodic optimization

PROCEEDINGS ARTICLE published in [1992] Proceedings of the 31st IEEE Conference on Decision and Control

Authors: V. Gaitsgory

https://doi.org/10.1109/cdc.1992.371249 Actions

Singularly Perturbed Control Systems with One-Dimensional Fast Dynamics

JOURNAL ARTICLE published January 2002 in SIAM Journal on Control and Optimization

Authors: Zvi Artstein | Arie Leizarowitz

https://doi.org/10.1137/s0363012901390889 Actions

Control of singularly perturbed hybrid stochastic systems

PROCEEDINGS ARTICLE published in Proceedings of 35th IEEE Conference on Decision and Control

Authors: J.A. Filar | V. Gaitsgory | A. Haurie

https://doi.org/10.1109/cdc.1996.574367 Actions

Limit Hamilton--Jacobi--Isaacs Equations for Singularly Perturbed Zero-Sum Dynamic (Discrete Time) Games

JOURNAL ARTICLE published January 2002 in SIAM Journal on Control and Optimization

Authors: Peng Shi

https://doi.org/10.1137/s036301290037908x Actions

Averaging of three time scale singularly perturbed control systems

JOURNAL ARTICLE published April 2001 in Systems & Control Letters

Authors: Vladimir Gaitsgory | Minh-Tuan Nguyen

https://doi.org/10.1016/s0167-6911(00)00111-0 Actions

Singularly Perturbed Optimal Control Problems. I: Convergence

JOURNAL ARTICLE published July 1976 in SIAM Journal on Control and Optimization

Authors: Paul Binding

https://doi.org/10.1137/0314039 Actions

On the Exponential Stability of Singularly Perturbed Systems

JOURNAL ARTICLE published November 1992 in SIAM Journal on Control and Optimization

Authors: Martin Corless | Luigi Glielmo

https://doi.org/10.1137/0330071 Actions

Singularly Perturbed Evolution Inclusions

JOURNAL ARTICLE published January 2010 in SIAM Journal on Control and Optimization

Authors: T. Donchev

https://doi.org/10.1137/08072588x Actions

Model Simplification and Optimal Control of Stochastic Singularly Perturbed Systems under Exponentiated Quadratic Cost

JOURNAL ARTICLE published September 1996 in SIAM Journal on Control and Optimization

Authors: Zigang Pan | Tamer Başar

https://doi.org/10.1137/s0363012993259361 Actions

Near Optimality of Stochastic Control for Singularly Perturbed McKean--Vlasov Systems

JOURNAL ARTICLE published October 2022 in SIAM Journal on Control and Optimization

Research funded by National Key Research and Development Program of China (2018YFA0703800) | National Natural Science Foundation of China (61877057,61873320)

Authors: Yun Li | Fuke Wu | Ji-feng Zhang

https://doi.org/10.1137/21m1466177 Actions

Averaging of a class of singularly perturbed control systems: a non-asymptotic result

JOURNAL ARTICLE published 13 March 2024 in Mathematics of Control, Signals, and Systems

Authors: Vladimir Gaitsgory | Ilya Shvartsman

https://doi.org/10.1007/s00498-024-00382-9 Actions

On Numerical Solution of Singularly Perturbed Optimal Control Problems

JOURNAL ARTICLE published September 2017 in Journal of Optimization Theory and Applications

Authors: Vladimir Gaitsgory | Matthias Gerdts

https://doi.org/10.1007/s10957-017-1138-8 Actions

Singularly Perturbed Piecewise Deterministic Games

JOURNAL ARTICLE published January 2008 in SIAM Journal on Control and Optimization

Authors: Alain Haurie | Francesco Moresino

https://doi.org/10.1137/050627599 Actions
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