The Stability Analysis And Control For The Stochastic Jump System And Neural System

Stochastic phenomena are ubiquitous natural phenomena in the natural world. Along with the rapid development of science and technology, the actual engineering technology to the accuracy requirement of the system is getting higher and higher. The original simplified deterministic system model can not meet the accuracy requirements of the practical engineering. So it is necessary to consider the influence of the stochastic factors, use stochastic model to establish mathematical model, and use the stochastic point of view to analyze and synthesize the system. In mature of the theory of stochastic system up to now, the scientific research workers took most of time and energy on the further comprehensive study and overall thorough research. By using constructing appropriate Lyapunov-Krasovskii functional, some new integral inequalities, combining with model transformation, together with Schur complement lemma and linear matrix inequality, this thesis focuses on the problems of reliable finite-time H_∞control for stochastic Markovian jump systems and exponential stability for uncertain neutral type descriptor system with stochastic. The main contents and contributions of this dissertation are summarized as follows:Firstly, with the aid of matrix transformations, the resulting closed-loop error Markovian jump system is constructed, sufficient criteria are provided to guarantee that the resulting closed-loop error Markovian jump system is stochastic finite-time boundedness and stochastic H_∞finite-time boundedness.Secondly, under more general framework, this paper employ a decoupling technique to address this issue, the gain matrices of state observer and state feedback controller are achieved by solving a feasibility problem in terms of linear matrix inequalities with a fixed parameter, respectively. And simulation examples are presented to show the effectiveness of the proposed results.Finally, the problem of the exponential stability for a class of neutral type singular system with stochastic is dealt with. Based on Lyapunov-Krasovskii functional stability theory, using Schur-complement Lemma and a new integral inequality, the exponential stability of neutral type descriptor system is analyzed.