不确定时变时滞系统稳定性的Riccati方程法(英文)

A Riccati Equation Approach to Stabilization of Uncertain LinearSystems with TimeVarying State Delay

讨论了不确定时变时滞系统的基于观测器的二次稳定性问题．有两类不确定性被讨论．利用Ｌｙａｐｕｎｏｖ稳定性定理及范数不等式，我们证明了几个关于二次稳定性的定理．通过求解Ｒｉｃｃａｔｉ方程可以获得系统可二次稳定的状态反馈控制器．最后。

This paper is concerned with the problem of quadratic stabilization based on observer for uncertain systems with timevarying state delay. Two classes of uncertainties are treated. By applying the Lyapunov stability theorem and norm inequalities, we prove several theorems about quadratic stabilization. The proposed state feedback quadratic stabilizer can be obtained by solving a Riccati equations. Finally, illustrative example is given to demonstrate the application of these criteria.