Event‐triggered control for a class of nonlinear random systems involving time‐varying delay and exogenous disturbances.

In terms of system modeling, random differential equations (RDEs) with colored noise are demonstrated to be more appropriate than stochastic differential equations (SDEs) relating to white noise in most practical situations. This paper discusses a category of nonlinear random systems involving time‐varying delay and exogenous disturbances. The definitions for noise‐to‐state practically stable (NSPS) and noise‐to‐state practically exponentially mean‐square stable (NSPEMS) are first given. An event‐based controller is then constructed to render the closed‐loop system NSPEMS and circumvents the Zeno behavior at the same time. Since the introduction of event‐triggered mechanism endows the closed‐loop system with hybrid behaviors, event‐based control for RDE systems still remains difficult to deal with. Within our cognitive scope, this paper serves as a pioneering attempt for event‐based control of RDE systems. And the validity of the results is corroborated by two simulation examples. [ABSTRACT FROM AUTHOR]