Sample controllability of impulsive differential systems with random coefficients

Abstract

In this paper, we investigate the controllability of impulsive differential systems with random coefficients. Impulsive differential systems with random coefficients are a different stochastic model from stochastic differential equations. Sufficient conditions of sample controllability for impulsive differential systems with random coefficients are obtained by using random Sadovskii's fixed-point theorem. Finally, an example is given to illustrate our results.

Keywords:

• random fixed point
• controllability
• impulsive systems
• random coefficients

Additional information

Funding

This work is supported by the NSF of China [grant number 61174039].