不确定中立型Lurie控制系统的鲁棒稳定性  

Robust Absolute Stability of Neutral Lurie Control Systems

作　　者：李宏飞[1] 罗学波[1] 

机构地区：[1]西北工业大学数学与信息科学系

出　　处：《甘肃科学学报》2004年第2期8-12,共5页Journal of Gansu Sciences

基　　金：国家重点基础研究发展计划基金项目(G1998030417)

摘　　要：　研究了不确定中立型非线型Lurie控制系统的鲁棒绝对稳定性,借助于Lypunov泛函构造方法,得到了系统绝对稳定的充分性条件.该条件将Lyapunov泛函中的正定矩阵和积分项系数等自由参数的选取归结为一个矩阵不等式的求解,使得Lyapunov泛函中参数矩阵选取不再具有盲目性,因而降低了稳定性判断的保守性.并通过实例分析了系统的鲁棒性与角域大小的关系,说明了其结果的可行性.The robust absolute stability of neutral Lurie control systems with multiple delays is discussed. By the method of Lyapunov functional, sufficient conditions of delay-independent for uncertain neutral systems are obtained, which are equivalent to the solvability of LMIs on the free parameters. The Lyapunov functional constructed by the solution of the LMIs is adopted to guarantee the robust stability of systems, and the parameters do not need to be readjusted. Finally, a concise example is provided to illustrate the feasibility of our results, and the relation between the size of the sector and the robustness is analyzed.

关 键 词：中立型Lurie系统 LYAPUNOV泛函 鲁棒绝对稳定性 线性矩阵不等式 

分 类 号：O175.13[理学—数学]