Analysis for neutral and Markovian jump systems with delays

Author

Liu Xinghua ; Jiang Xiaofeng ; Xi Hongsheng ; Shang Weike

Author_Institution

Dept. of Auto, Univ. of Sci. & Technol. of China, Hefei, China

fYear

2013

Firstpage

164

Lastpage

169

Abstract

This paper deals with the stochastic stability problems for the certain and uncertain neutral and Markovian jump systems with two additive time-delays. Time delays are considered as both stochastic and time-varying, and the uncertainties are assumed to be norm bounded. By selecting appropriate Lyapunov-Krasovskii functional, the sufficient conditions are obtained to guarantee the stochastic stability for the certain and uncertain systems. To show an application of the systems, we develop the teleoperation systems which have the forward and backward transmission time delays and give a numerical example to illustrate the effectiveness of the developed method.

Keywords

Lyapunov methods; delays; stability; stochastic systems; telecontrol; uncertain systems; Lyapunov-Krasovskii functional; Markovian jump systems; additive time-delays; backward transmission time delays; certain neutral system; forward transmission time delays; norm bounded uncertainty; stochastic stability problems; stochastic time delays; teleoperation systems; time-varying time delays; uncertain neutral system; Additives; Delays; Numerical stability; Stability analysis; Stochastic processes; Symmetric matrices; Time-varying systems; Markovian jump parameters; Stochastic stability; Teleoperation systems; Two additive time-delays;

fLanguage

English

Publisher

ieee

Conference_Titel

Control Conference (CCC), 2013 32nd Chinese

Conference_Location

Xi´an

Type

conf

Filename

6639421