摘要:Sufficient conditions for the exponential input-to-state stability in probability in r th mean and for the almost sure exponential input-to-state stability in probability of a composite stochastic system are established. Illustrating example is provided to validate our results. MSC:60H10, 93C10, 93D05, 93D15, 93D21, 93E15.
关键词:composite stochastic control system ; control Lyapunov function ; exponential input-to-state stability in probability