Probability-Based Finite-Time Security Control for Switched Stochastic Systems via a Novel Event-Triggered Mechanism and Its Application

This article discusses the finite-time boundedness (FTB) issue and $L_2$-gain analysis for switched stochastic systems, particularly under the dual influence of DoS attacks and false data injection attacks, by employing a novel event-triggered mechanism. Different from the moment calculation method, a probability-based FTB is studied which offers more pertinence. To obtain a less conservative condition of FTB, a switched Lyapunov function is constructed. Additionally, a memory-based dynamic event-triggered mechanism is designed to reduce the amounts of triggering and mitigate the state response fluctuations. Based on the incomplete information above, state feedback controllers are devised to satisfy stochastic FTB, ensuring the successful attainment of finite-time $L_2$-gain. Sufficient conditions are cast into a convex optimization problem by LMIs which can be solved easily. Finally, a compared numerical example and an RLC series circuit are adopted to demonstrate the availability of the theoretical results.