Abstract
The p-th moment input-to-state stability and the p-th moment integral input-to-state stability of stochastic system with Markovian switching are investigated in this paper. To weaken the condition required by the classical Lyapunov stability theory, a novel comparison theorem is introduced, which makes infinitesimal operator of Lyapunov functions be able to take both positive and negative. A numerical example shows the effectiveness and advantages of the proposed results.
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