Title :
Impulsive control of nonlinear delay systems with exponential decay rate
Author :
Yu, Yongbin ; Zhang, Fengli ; Zhang, Hongbin ; Zhong, Qishui ; Yu, Juebang
Author_Institution :
Sch. of Comput. Sci. & Eng., Univ. of Electron. Sci. & Technol. of China, Chengdu, China
Abstract :
An impulsive control scheme to stabilize nonlinear delay systems with exponential decay rate is presented in this paper. By utilizing different Lyapunov functions and some inequalities, we establish several theorems on the stability of impulsive delay systems and find novel conditions under which impulsively controlled nonlinear delay systems are globally exponentially stable. Then a novel impulsive controller design procedure to globally exponentially stabilize nonlinear delay systems is presented. Finally numerical simulation is given to illustrate feasibility and effectiveness of our method.
Keywords :
Lyapunov methods; asymptotic stability; control system synthesis; delay systems; nonlinear control systems; Lyapunov functions; exponential decay rate; exponential stability; impulsive control; impulsive controller design; impulsive delay systems stability; nonlinear delay systems; Control systems; Delay effects; Delay systems; Differential equations; Educational technology; Lyapunov method; Nonlinear control systems; Nonlinear systems; Space technology; Stability;
Conference_Titel :
Communications, Circuits and Systems, 2009. ICCCAS 2009. International Conference on
Conference_Location :
Milpitas, CA
Print_ISBN :
978-1-4244-4886-9
Electronic_ISBN :
978-1-4244-4888-3
DOI :
10.1109/ICCCAS.2009.5250309
