Finite-Time Annular Domain Stability and Control of Complex Stochastic Systems
Buch in deiner Nähe kaufen
Beschreibung
This book studies the finite time stability and stabilization problems of stochastic system. Stability analysis for stochastic system is a central topic. It analyzes the finite time stability and stabilization problems through the time-domain method via Lyapunov-Krasovskii functions, deriving stability conditions via linear matrix inequalities using tools such as the reverse differential Gronwall inequality, Gronwall inequality and Itô-Levy formula. The study systematically covers linear Itô stochastic systems with state and control-dependent noise, Markovian switching, semi-Markovian Switching, Wiener noise and poisson noises, stochastic time-varying systems with Wiener and Poisson noises, uncertain mean-field stochastic systems with Wiener and Poisson noises, nonlinear stochastic Markov jump systems with impulsive effects, Mean-field jump-diffusion systems. It is a useful resource for researchers, engineers, and graduate students in control, applied mathematics, and engineering.
Combines expertise in mathematics and control theory, focuses on stability analysis and control of complex system Explores novel techniques for stability analysis and controller design to optimize the transient performance of systems Studies innovative system analysis methods to reduce the conservatism of results
Autor*in
Zhiguo Yan
Themen in »Finite-Time Annular Domain Stability and Control of Complex Stochastic Systems«
Finite-time stability Finite-time stochastic stabilization Stochastic systems Matrix inequalities State feedback controller Dynamic output feedback controller Mode-dependent parameter approach Reverse differential Gronwall inequality H2/H∞ control Nonlinear stochastic Markov jump systems Uncertain mean-field stochastic systems Wiener and Poisson noises Finite-time annular domain guaranteed cost controllers Mean-field jump-diffusion systems