Bipartite Synchronization of Multi-Agent Systems With Signed Graph Under Deception Attacks and Application in Speech Communication

This paper addresses the bipartite synchronization of multi-agent systems with time-varying delays and signed graph under deception attacks, where the systems contain both the self-structure delayed term and the coupling delayed term. The deception attacks are assumed to be randomly launched at each impulse instant. By using the gauge transformation, Lyapunov function method, Halanay differential inequality and linear matrix inequality techniques, several sufficient conditions are newly established to guarantee the achievement of bipartite synchronization, in which some special cases of multi-agent systems without delay or deception attacks are further considered. Two numerical examples are provided to illustrate the effectiveness of the proposed results. Finally, a new multi-agent speech communication system is constructed based on the bipartite synchronization of the multi-agent systems, where two agents for point-to-point communication can generate synchronous chaotic encryption/decryption key streams. The experimental results show that the proposed multi-agent speech communication system has the advantages of high security against some classical attacks.