Delay-distribution-dependent consensus for second-order leader-follower nonlinear multiagent systems via pinning control. (English) Zbl 1421.93132

Summary: This paper investigates the consensus problem for second-order leader-follower nonlinear multiagent systems with general network topologies. A pinning control algorithm is proposed, where it includes time-varying delay information. By using the information of delay-partition and delay-distribution and constructing an appropriate Lyapunov-Krasovskii functional, the consensus criteria are derived to achieve leader-follower consensus for multiagent systems, which are in the form of linear inequalities that can be solved by employing the semidefinite programme method. Moreover, this paper addresses what kind of agents and how many agents should be pinned. Two numerical examples are presented to further demonstrate the effectiveness of the proposed approach.


93D99 Stability of control systems
93A13 Hierarchical systems
68T42 Agent technology and artificial intelligence
93C55 Discrete-time control/observation systems
93C10 Nonlinear systems in control theory
90C22 Semidefinite programming
Full Text: DOI


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