Title :
Stabilization of differential inclusion systems with Markovian jumping
Author :
Liu, Hongying ; Ding, Shuai ; Zhou, Huimin
Author_Institution :
Harbin Normal Univ., Harbin, China
Abstract :
The stabilization of differential inclusions with Markovian jumping is discussed. A kind of uncertain Markovian jumping systems are modeled as differential inclusions with Markovian jumping. Based on the convex hull Lyapunov function, a kind of stochastical Lyapunov function is presented. The feedback control law is obtained to make the closed-loop system exponentially stable in the mean square. Finally, a simulation is given to show the effectiveness of this control design.
Keywords :
Lyapunov methods; Markov processes; closed loop systems; control system synthesis; convex programming; feedback; mean square error methods; stability; stochastic systems; uncertain systems; closed-loop system exponentially stable; control design; convex hull Lyapunov function; differential inclusion system stabilization; feedback control law; mean square problem; stochastical Lyapunov function; uncertain Markovian jumping systems; Closed loop systems; Control design; Linear systems; Lyapunov methods; Nonlinear systems; Robustness; Stochastic processes; Convex hull Lyapunov function; Markovian jumping; differential inclusions;
Conference_Titel :
Control Conference (CCC), 2014 33rd Chinese
Conference_Location :
Nanjing
DOI :
10.1109/ChiCC.2014.6895857
