Delay-dependent stability criterion for a class of non-linear singular Markovian jump systems with mode-dependent interval time-varying delays

作者：Balasubramaniam P^*; Krishnasamy R; Rakkiyappan R

来源：Communications in Nonlinear Science & Numerical Simulation, 2012, 17(9): 3612-3627.

DOI：10.1016/j.cnsns.2012.01.003

• Non-linear singular systems
• Linear matrix inequality
• Lyapunov-Krasovskii functional
• Markovian jump
• Mode-dependent delay

This paper deals with the problem of stability analysis of non-linear singular systems with Markovian jumping parameters and mode-dependent interval time varying delays. New delay-dependent stability conditions are derived in terms of linear matrix inequalities (LMIs) by constructing a mode-dependent Lyapunov-Krasovskii functional and using some integral inequalities. Numerical examples are presented to illustrate the usefulness and less conservativeness of the proposed theoretical results.

• 出版日期2012-9