【作者】 潘涛；

【导师】 卜春霞；

【作者基本信息】 郑州大学 ， 运筹学与控制论， 2013， 硕士

【摘要】 本文的主要目的就是讨论转移概率己知和部分已知时多智能体系统的稳定性问题及马尔科夫跳变路由控制策略,具体内容为：首先我们给出了在多智能体系统下的随机稳定性的定义。基于这个定义,我们针对连续时间马尔科夫跳变系统,通过合理的选取Lyapunov函数,得到了系统在转移概率完全己知情况下的稳定性分析结果。紧接着,在分析结果的基础上,我们给出了使系统稳定的控制器设计方法。其次针对实际应用中大量出现的系统转移概率部分未知的情况,通过对系统转移概率的分析,我们得出了该条件下的系统稳定性分析结果。其方法同样是通过选取合理的Lyapunov函数。最后针对以上两种情况给出总结,并指出以后需要继续进行的工作和研究。需要说明的是,本文结论的计算结果完全基于线性矩阵不等式。更多还原

【Abstract】 The main purpose of this paper is to discuss the stability problem and the Markov transition probability is completely known when the multi-agent system jump routing con-trol strategy, the specific contents are as follows:First, we give the definitions of stochastic stability in markov jump linear systems[15]. Based on this definition, we consider contin-uous time Markov jump systems, through the reasonable selection of Lyapunov function, the stability analysis result in the transition probability is completely known case. Then, based on the analysis of the results, we give the design method of the controller system stability. Secondly, the emergence of a large number of practical application system of partly unknown transition probabilities, by analyzing the probability of system transfer, we conclude that the stability of the system under the condition of the analysis results. The same method is to select the reasonable Lyapunov function.Finally, for the above two situations are summarized, and pointed out the need to continue the work and research. It is the conclusion of this paper, calculation results based on linear matrix inequality.更多还原