Exponential input-to-state stability of composite stochastic systems

Sufficient conditions for the exponential input-to-state stability in probability in rth 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