Stochastic Averaging and Stochastic Extremum Seeking

• Main Authors: Liu, Shu-Jun (Author), Krstic, Miroslav (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: London : Springer London : Imprint: Springer, 2012.
• Series: Communications and Control Engineering,
• Subjects: Engineering.; Systems biology.; System theory.; Calculus of variations.; Control engineering.; Robotics.; Automation.; Economic theory.; Control.; Calculus of Variations and Optimal Control; Optimization.; Economic Theory/Quantitative Economics/Mathematical Methods.; Systems Biology.; Robotics and Automation.; Systems Theory, Control.

Stochastic Averaging and Stochastic Extremum Seeking develops methods of mathematical analysis inspired by the interest in reverse engineering  and analysis of bacterial  convergence by chemotaxis and to apply similar stochastic optimization techniques in other environments. The first half of the te...

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.