LTV连续时间时滞一致性动力学指数收敛的不动点理论方法

C. Somarakis, J. Baras
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引用次数: 10

摘要

研究了存在恒定通信延迟的连续线性时变共识动力学问题。利用收缩映射给出了不动点理论的一个论证,并给出了指数收敛到具有规定收敛速率的一致值的充分条件。
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Fixed Point Theory Approach to Exponential Convergence in LTV Continuous Time Consensus Dynamics with Delays
The problem of continuous linear time varying consensus dynamics is addressed in the presence of constant communication delays. We make a Fixed Point Theory argument with the use of contraction mappings and we state sufficient conditions for exponential convergence to a consensus value with prescribed convergence rate.
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