tochastic Stability Analysis for Markovian Jump Neutral Nonlinear Systems

Abstract

In this paper, the stability problem is studied for a class of Markovian jump neutral nonlinear systems with time-varying delay. By Lyapunov-Krasovskii function approach, a novel mean-square exponential stability criterion is derived for the situations that the systems transition rates are completely accessible, partially accessible and non-accessible, respectively. Moreover, the developed stability criterion is extended to the systems with different bounded sector nonlinear constraints. Finally, some numerical examples are provided to illustrate the effectiveness of the proposed methods.

Passivity-based non-fragile control for Markovian jump systems with aperiodic sampling

“…Consider (4), the inequality (32) can be rewritten as (5) and Lemma 3, for some ε > 0, Q q > 0 (q = 1, . .…”

“…This family of systems are powerful mathematical models to represent various practical processes that experience abrupt changes in their structure and parameters, possibly caused by phenomena such as component failures or repairs, sudden environmental disturbances, changing subsystem interconnections [1][2][3][4][5][6][7][8][9][10][11][12]. A number of relevant results have been reported for Markovian jump systems over the past decades.…”

Robust H-Infinity Filtering for Networked Control Systems with Markovian Jumps and Packet Dropouts

“…In the literature, Markovian chains and Bernoulli process are adopted in describing stochastic time-delay in Markov systems. Among them, the stochastic time-delay NCSs modeled as Markov chains in NCSs have received much attention, see for instance Shi and Yu (2009);Liu et al (2005); Wang et al (2012); Shi et al (1999); Zhang and Boukas (2009) ;Zhang et al (2008) and the references therein. Different with the above methods, in order to model a realistic complex NCSs, finite distributed time delay with a certain probability is proposed in this paper, and the stochastic time delay is an independent Bernoulli process.…”