不确定广义Markov跳变时滞系统的有限时间控制

本项目拟针对具有参数不确定性和不同类型时滞的广义Marokv跳变系统，即连续时间广义Markov跳变时滞系统和离散时间广义Markov跳变时滞系统，针对时变时滞、分布时滞，通过提出有效的分析与设计方法，深入研究有限时间控制问题，获取状态反馈控制器、动态输出反馈控制器和基于观测器的反馈控制器等控制器存在的时滞相关结论，同时提出期望控制器的具体设计方案。提供数值算例和仿真，检验设计方法的有效性。本项目的研究目的是，围绕广义Markov跳变时滞系统的有限时间控制这一主题，建立一套较成体系的理论研究成果，改进或者补充已有相关理论研究。本项目具有交叉性、先进性、挑战性的特点，选题紧密围绕控制理论国际前沿研究，研究内容丰富，工作量较大。

The purpose of this research project is devoted to solve the problems of finite-time control for uncertain singular Markov jump delayed systems with different types of delays, such as time-varying delay, distributed delay. Furthermore, via dynamic output-feedback method, the finite-time optimization method and statefeed-back method, the finite-time analysis and controller design problems are considered for continuous-time or discrete-time singular Markov jump systems, respectively. The results of this project will propose effective output-feedback control strategies to solve the finite-time control problem for uncertain singular Markov jump delayed systems, which will expand existing research approaches and enrich finite-time control theory of singular Markov jump delayed systems to some extent.