Finite/Fixed Time Control of Markov Jump System under Cyber Attacks

Qidong Liu

Abstract: In this paper, we address the finite-time and fixed-time control problem for Markov jump systems (MJS) under the influence of cyber attacks. The increasing occurrence of cyber threats, such as denial of service (DoS) and data injection attacks, presents significant challenges to the stability and performance of these systems. We propose a novel control strategy that ensures finite-time and fixed-time stabilization despite the presence of such attacks. Our approach is based on Lyapunov-Krasovskii functionals, incorporating adaptive mechanisms to counteract the effects of compromised communication channels. The effectiveness of the proposed method is substantiated through theoretical analysis and validated by simulation results. Our findings reveal that the control scheme is resilient to various cyber attack scenarios, guaranteeing system stability within a pre-defined time frame.

Submission Number: 241