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This study investigates the consensus control problem of linear multi-agent systems with input time delay. By exploring the certain features of Laplacian matrix, we transform the consensus problem into an asymptotic stability problem. The key element in our work is introducing the semi-discretization method to identify the optimal consensus control conditions and develops a mapping of the system response...
This paper investigates the consensus control of a class of Lipchitz nonlinear multi-agent systems with communication time delay. The proposed control only uses relative state information of the system. An optimal consensus control is then identified through a careful exploitation of the structure of Laplacian matrix and semi-discretization method.
Stability analysis and control for linear periodic time-delay systems described by state space models are investigated in this paper. Semi-discretization method is used to develop a mapping of the system response in a finite-dimensional state space. The stability region and stability boundary can be found by comparing the maximum absolute value of the mapping's eigenvalues with 1. More importantly,...
This paper proposes an effective control method aimed at the linear system with time-varying delay. We address the problem by means of switching among a finite family of candidate controllers. Our control method is based on semi-discretization method and hysteresis-based switching algorithms, where the former is introduced to design the candidate controller under one fixed time delay and the latter...
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