【摘要】 本文对一类区间时变时滞系统的稳定性分析和控制器设计问题进行了研究。首先,为了得到时滞系统的稳定性新判据,在对Lyapunov-Krasovskii泛函进行构造时考虑了时滞下界信息,并且在对Lyapunov-Krasovskii泛函的导数进行处理时采用了积分不等式和逆凸组合法相结合的方法。进一步,根据所得的时滞相关稳定性判据,对系统的状态反馈控制器设计进行了分析。最后通过对数值算例进行仿真验证了本文方法的有效性和正确性。更多还原

【Abstract】 This paper is talked about the problem of stability analysis and controller design for a class of interval time-varying delay system.Firstly,for deriving the improved delay-dependent stability criteria,this paper considers the information on the lower bound of the delay in constructing Lyapunov-Krasovskii functional and utilizes integral inequality and reciprocally convex approach.Further, a state feedback controller utilizing the proposed delay-dependent stability criterion is designed.At last,it demonstrates the effectiveness and the validity of the modified method by simulating a numerical example.更多还原