【作者】 王剑；

【导师】 唐万生；

【作者基本信息】 天津大学 ， 管理科学与工程， 2012， 硕士

【摘要】 近年来,对混沌系统、神经网络、复杂网络等非线性系统的研究引起了不同领域专家学者的广泛关注.其中,非线性系统的同步和控制问题由于在很多领域中都有着广泛的应用而备受瞩目.对此类问题进行研究具有理论意义和实际价值.本文研究的是一类非线性系统的脉冲近似同步问题以及最优脉冲间隔问题.针对两个具有不同参数甚至不同结构的非线性系统模型的脉冲同步问题进行了研究,以矩阵不等式的形式给出了一个可以实现这两个系统近似同步的充分条件,并用数值算例进行了仿真验证.为解决最优脉冲间隔问题,本文建立了脉冲间隔优化模型.由于所建优化模型是传统算法不易求解的非凸优化问题,为得到最优脉冲间隔,提出了一种结合混沌优化的混合算法,并通过数值算例验证所得结论的有效性.更多还原

【Abstract】 Investigation of the properties of nonlinear systems, such as chaotic systems,neural networks, complex network systems, has been reported widely recently.The synchronization and control of nonlinear systems has attracted special at-tention because of its broad application prospects in many areas. Therefore, thestudy of such issues is of great theoretical and practical significance.In this thesis, the approximate synchronization problem of two nonidenticalnonlinear systems and the optimization problem of impulsive interval is investi-gated. This paper designs an effcient impulsive control method for two noniden-tical systems to achieve approximate synchronization. Through the analysis, asuffcient condition which makes the two systems achieve approximate synchro-nization is given and verified by a numerical example.Furthermore, an impulsive interval optimization model is established, then,the optimization problem about maximum impulsive interval is solved by a mixedalgorithm combining chaos optimization and linear matrix inequality (LMI) method.In the end, numerical examples are given to verify the conclusions obtained.更多还原