Title :
On a time-varying stochastic small gain theorem
Author :
Aberkane, S. ; Dragan, Vasile
Author_Institution :
CRAN, Univ. Henri Poincare, Vandœuvre-lès-Nancy, France
Abstract :
In this note, a small gain result is presented for a class of discrete-time time-varying Markovian jump systems with state-dependent noise. Using the stabilizing solutions of some generalized Riccati equations, the result is obtained based on a Lyapunov type argument.
Keywords :
Lyapunov methods; Riccati equations; discrete time systems; linear systems; stability; stochastic systems; Lyapunov type argument; discrete-time time-varying Markovian jump systems; generalized Riccati equations; stabilizing solutions; state-dependent noise; time-varying stochastic small gain theorem; Markov processes; Riccati equations; Stability analysis; Time-varying systems; Tin; Vectors;
Conference_Titel :
Control Conference (ECC), 2013 European
