Sufficient stability conditions and stabilizing control design for delay differential systems of a special type

被引:0
作者
N. O. Sedova
机构
[1] Ul’yanovsk State University,
关键词
stability; stabilization; time-delay; Lyapunov function;
D O I
10.1134/S1990478912010127
中图分类号
学科分类号
摘要
This paper introduces some sufficient conditions for uniform and asymptotic global stability as well as the algorithms for design of stabilizing control for special systems like cascaded (triangular) systems and integrator chains. The results are presented in terms of semidefinite Lyapunov functions, and they hold for nonlinear nonautonomous systems. Application of the results proposed is illustrated by some classical examples.
引用
收藏
页码:111 / 122
页数:11
相关论文
共 29 条
[1]  
Pavlikov S. V.(2007)Constant-Sign Lyapunov Functionals in the Stability Problem for a Functional Differential Equation Prikl. Mat. Mekh. 71 377-388
[2]  
Sedova N. O.(2007)Global Asymptotic Stability and Stabilization of Nonlinear Systems with Aftereffect Proceedings of the 9th International Chetaev Conference on Analytical Mechanics, Stability and Control of Motion” 2 208-223
[3]  
Sedova N.(2003)On Employment of Semidefinite Functions in Stability of Delayed Equations J. Math. Anal. Appl. 281 313-325
[4]  
Sedova N. O.(2005)Degenerate Functions in the Analysis of Asymptotic Stability of Solutions of Functional-Differential Equations Mat. Zametki 78 468-472
[5]  
Lakshmikantham V.(1962)Lyapunov Function and a Basic Inequality in Delay-Differential Equations Arch. Rational Mech. Anal. 7 305-310
[6]  
Iggidr A.(1996)Semidefinite Lyapunov Functions. Stability and Stabilization Math. Control Signals Systems 6 95-106
[7]  
Kalitine B.(2004)Nonlinear Control of Feedforward Systems with Bounded Signals IEEE Trans. Automat. Control 49 1975-1990
[8]  
Outbib R.(2008)On Improving Transient Performance in Global Control of Multiple Integrators System by Bounded Feedback Systems Control Lett. 57 867-875
[9]  
Kaliora G.(2005)Static Output Feedback Stabilization Problem: Necessary Conditions for Multiple Delay Controllers IEEE Trans. Automat. Control 50 82-86
[10]  
Astolfi A.(2004)Stabilizing a Chain of Integrators Using Multiple Delays IEEE Trans. Automat. Control 49 802-817