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The Value Function of Singularly Perturbed Control Systems

JOURNAL ARTICLE published 6 May 2000 in Applied Mathematics and Optimization

Authors: Z. Artstein | V. Gaitsgory

https://doi.org/10.1007/s002459911022 Actions

Averaging and Linear Programming in Some Singularly Perturbed Problems of Optimal Control

JOURNAL ARTICLE published April 2015 in Applied Mathematics & Optimization

Authors: Vladimir Gaitsgory | Sergey Rossomakhine

https://doi.org/10.1007/s00245-014-9257-1 Actions

Erratum to: Averaging and Linear Programming in Some Singularly Perturbed Problems of Optimal Control

JOURNAL ARTICLE published April 2015 in Applied Mathematics & Optimization

Authors: Vladimir Gaitsgory | Sergey Rossomakhine

https://doi.org/10.1007/s00245-014-9265-1 Actions

Averaging of Singularly Perturbed Controlled Stochastic Differential Equations

JOURNAL ARTICLE published September 2007 in Applied Mathematics and Optimization

Authors: Vivek Borkar | Vladimir Gaitsgory

https://doi.org/10.1007/s00245-007-0893-6 Actions

On the value function of singularly perturbed optimal control systems

PROCEEDINGS ARTICLE published 2004 in 2004 43rd IEEE Conference on Decision and Control (CDC) (IEEE Cat. No.04CH37601)

Authors: Z. Artstein

https://doi.org/10.1109/cdc.2004.1428668 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

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

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

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

Linear singularly perturbed systems without slow-fast split

JOURNAL ARTICLE published December 2023 in Computational Optimization and Applications

Authors: Zvi Artstein

https://doi.org/10.1007/s10589-022-00412-9 Actions

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

Relaxation in singularly perturbed control systems

PROCEEDINGS ARTICLE published in Proceedings of the 41st IEEE Conference on Decision and Control, 2002.

Authors: Z. Artstein

https://doi.org/10.1109/cdc.2002.1185052 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

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

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

On ergodic control problems for singularly perturbed Markov processes

JOURNAL ARTICLE published July 1989 in Applied Mathematics & Optimization

Authors: T. Bielecki | ?. Stettner

https://doi.org/10.1007/bf01447652 Actions

Controlled switching in singularly perturbed systems

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

Authors: Z. Artstein

https://doi.org/10.1109/cdc.2003.1273041 Actions

On singularly perturbed ordinary differential equations with measure-valued limits

JOURNAL ARTICLE published 2002 in Mathematica Bohemica

Authors: Zvi Artstein

https://doi.org/10.21136/mb.2002.134168 Actions

The chattering limit of singularly perturbed optimal control problems

PROCEEDINGS ARTICLE published in Proceedings of the 39th IEEE Conference on Decision and Control (Cat. No.00CH37187)

Authors: Z. Artstein

https://doi.org/10.1109/cdc.2000.912824 Actions

The singularly perturbed nonlinear boundary value problems

JOURNAL ARTICLE published December 2000 in Applied Mathematics-A Journal of Chinese Universities

Authors: Mo Jiaqi

https://doi.org/10.1007/s11766-000-0033-4 Actions
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