Multi-Channel Asynchronous DoS-Resilient Control for Uncertain MASs Using an Equivalent Decay-Rate Approach

This paper investigates resilient tracking control for multi-agent systems subject to multi-channel asynchronous denial-of-service (DoS) attacks within a directed graph. We consider both homogeneous dynamics and uncertain heterogeneous dynamics in our analysis. We first propose a distributed resilient tracking control strategy against multi-channel asynchronous DoS attacks for homogeneous systems. The concept of equivalent decay-rates across different attacked channels is introduced to derive sufficient conditions for secure tracking control. Building upon this foundation, we extend the method to address tracking control under uncertain heterogeneous dynamics and constrained communication resources. To this end, we propose an event-triggered resilient control strategy based on equivalent decay-rate analysis. The strategy reduces communication overhead by adopting demand-driven scheduling and enhances resilience through a decay-rate-guided feedback mechanism. Our proposed algorithms both mitigate asynchronous DoS attacks by constraining attack surfaces and ensure secure tracking under resource constraints. Finally, numerical examples are provided to verify our theoretical analysis.