论文部分内容阅读
本文研究带有时延和乘性量测噪音的离散时间多自主体系统的随机趋同控制.利用图论、矩阵论和概率论中的分析工具,将随机趋同问题转化成离散时间随机时延系统的随机稳定性问题.通过建立随机稳定性准则,给出了多自主体系统达到趋同所需的关于控制增益的充分条件.针对一阶多自主体系统,在平衡拓扑条件下证明对任何有界时延和任意强度的噪音,都可以通过选取合适的控制增益来达到均方和几乎必然强趋同.针对二阶多自主体系统,在无向拓扑条件下给出了均方和几乎必然趋同的充分条件,并证明对任意有界时延和任意强度的噪音,都可以通过选取合适的控制增益来实现位移分量弱趋同和速度分量强趋同.这些结果被进一步推广到具有领导者的情形.
In this paper, we study the stochastic convergence control of discrete-time multi-autonomic systems with delay and multiplicative measurement noise.By using the analysis tools in graph theory, matrix theory and probability theory, we transform the stochastic convergence problem into a discrete-time stochastic delay system The stochastic stability problem is solved by establishing the stochastic stability criterion and the sufficient conditions for the control gain for the multi-autonomic system to reach convergence are given. For the first-order multi-autonomic systems, under the condition of equilibrium topology, Delay and arbitrary intensity of noise, both the mean square and the almost necessary strong convergence can be achieved by choosing the appropriate control gain. For the second-order multi-autonomic system, the mean square and the almost inevitable convergence are given under undirected topological conditions Conditions and prove that for any bounded delay and any intensity of noise, the weak convergence and the strong convergence of the components of the displacement can be achieved by choosing the appropriate control gain.These results are further extended to those with leaders.