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在时变连接概率的随机拓扑条件下,研究了离散时间高阶线性群系统的一致性问题.首先,给出一个依赖于相邻主体间拓扑连接概率和各个主体自身信息的随机控制协议;然后,应用状态空间分解法分析离散时间高阶线性群系统的一致性,给出了在连接概率时变的随机拓扑条件下以概率为1实现一致的充分必要条件;进而,确定了随机拓扑条件下离散时间高阶线性群系统的一致函数;最后,通过数值分析验证了所得出结论的正确性.
In the case of stochastic topologies with time-varying connection probabilities, the consistency of discrete-time higher-order linear systems is studied.First, a stochastic control protocol that relies on the topology connection probabilities between adjacent agents and each subject’s own information is given. Then, , The state space decomposition method is used to analyze the consistency of discrete-time higher-order linear group systems. The sufficient and necessary conditions for the realization of the sameness under the stochastic topological conditions with varying connection probabilities are given. Furthermore, the stochastic topological conditions Discrete-time high-order linear group systems; Finally, the correctness of the conclusions is verified by numerical analysis.