Necessary and sufficient conditions for containment control of multi-agent systems with time delay. (English) Zbl 1415.93033
Summary: In this paper, the containment control problem for the discrete-time multi-agent systems with first-order dynamics is discussed. We first provide a necessary and sufficient condition for containment control without time-delay which is related to the value of the step-size and the structure of the interaction topology through the iterative method. Further, time-delay is taken into account making use of \(z\)-transformation and Routh criterion. Finally, numerical simulations are provided to explain the influence of different step-sizes on stability of the multi-agent systems and testify the obtained results.
MSC:
| 93A14 | Decentralized systems |
| 68T42 | Agent technology and artificial intelligence |
| 93C55 | Discrete-time control/observation systems |
| 93B40 | Computational methods in systems theory (MSC2010) |
Keywords:
multi-agent systems; iterative method; containment control; \(z\)-transformation; Routh criterionReferences:
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