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Stochastic Averaging and Stochastic Extremum Seeking


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Table of Contents

Stochastic Averaging for Aymptotic Stability.- Stochastic Averaging for Practical Stability.- Single-parameter Stochastic Extremum Seeking.- Stochastic Source Seeking for Nonholonomic Vehicles.- Stochastic Source Seeking with Tuning of Forward Velocity.- Multi-parameter Stochastic Extremum Seeking and Slope Seeking.- Stochastic Nash Equilibrium Seeking for Games with General Nonlinear Payoffs.- Nash Equilibrium Seeking for Quadratic Games and Application to Oligopoly Markets and Vehicle Deployment.- Newton-based Stochastic Extremum Seeking.

About the Author

Miroslav Krstic is an author of several books on adaptive control, stochastic nonlinear control, extremum seeking, and control of PDEs. Several of these books have had a high impact in the control field and inspired many researchers to work on the topics that the books have covered and apply the tools from the books in their research and in practice.
Shujun Liu is a young researcher in mathematics and control theory in China with strong connections with the leading research groups in control theory at the Chinese Academy of Sciences. Her doctoral work on stochastic stability and stabilization has had considerable influence on a number of research groups in China who have taken on this topic after her initial work with her doctoral advisor Professor Jifeng Zhang.
Much of the material of this book was developed while the first author was a postdoctoral scholar with the second author at University of California, San Diego.


From the book reviews:

"This research monograph presents and consolidates new results on the well-known topic of stochastic averaging and in the emerging area of stochastic extremum seeking. ... The monograph develops averaging from scratch for ordinary differential equations in deterministic and stochastic settings. ... This book will be of interest to researchers interested in stochastic search techniques applied to a large variety of engineering systems." (IEEE Control Systems Magazine, October, 2013)

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