Impulsive security control for fractional-order delayed multi-agent systems with uncertain parameters and switching topology under DoS attack

This paper studies the problem of fractional-order impulsive security control for uncertain fractional-order delayed multi-agent systems (FDMASs) under Denial-of-Service (DoS) attack. New sufficient conditions to achieve impulsive secure consensus are analyzed. To determine the stability of the resulting error system, we utilized fractional-calculus theory, algebraic graph theory, Lyapunov functional. The influence of the impulsive control scheme depends on the order of the Caputo fractional-order systems addressed. It is shown that the agents can achieve an exponential consensus under the proposed impulsive control scheme. Finally, the effectiveness of the theoretical results is demonstrated by numerical examples and simulation results.