access icon free Stability of discrete-time delay Markovian jump systems with stochastic non-linearity and impulses

The purpose of this study is to investigate the stability for a class of discrete-time delay Markovian jump systems with stochastic non-linearity and impulses. By using stochastic Lyapunov functionals, some new results are given. Impulse effects on the stability of the systems are revealed. Some examples together with their simulations are also presented to illustrate the effectiveness of the proposed results.

Inspec keywords: stability; stochastic systems; Lyapunov methods; discrete time systems; control nonlinearities; Markov processes; delay systems

Other keywords: impulse effects; stochastic nonlinearity; stochastic Lyapunov functionals; discrete-time delay Markovian jump system stability

Subjects: Discrete control systems; Time-varying control systems; Markov processes; Nonlinear control systems; Stability in control theory; Distributed parameter control systems

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