On Finite Time Stability and Asymptotic Practical Stability of Time Delayed Systems: New Delay Dependent Criteria

摘要：

This paper gives sufficient conditions for the practical and finite time stability of linear continuous time delay systems of the form x(t)-A0x(t)+A1x(t-τ). When we consider finite time stability, these new, delay independent conditions are derived using the approach based on Lyapunov-Krassovski functionals. In this case these functionals need not to have: a) properties of positivity in whole state space and b) negative derivatives along system trajectories. When we consider concept of practical stability, before mentioned concept of stability, is combined and supported by classical Lyapunov technique to guarantee attractivity properties of system behavior.

作者: DEBELJKOVI(C) Dragutin Lj BUZUROVI(C) Ivan M. NESTOROVI(C) Tamara POPOV Dejan

作者单位: Faculty of Mechanical Engineering, Dept.of Control Eng., University of Belgrade, Belgrade 11000, Ser Thomas Jefferson University, Medical Physics Division, Philadelphia, PA, USA Dept.of Mechanics of Adaptive Systems, Ruhr-University of Bochum, Germany

会议类型: 国际会议

会议名称: The 30th Chinese Control Conference(第三十届中国控制会议)

会议地点: 烟台

会议语种:英文

页码: 1-8

在线出版日期: 2011-07-01（万方平台首次上网日期，不代表论文的发表时间）