Title :
Practical stability and controllability for nonlinear discrete time-delay systems
Author :
Su, Zhan ; Zhang, QingLing ; Liu, Wanquan
Author_Institution :
Coll. of Inf. Sci. & Eng., Northeastern Univ., Shenyang, China
Abstract :
In this paper we study the practical asymptotic stability for a class of discrete-time time-delay systems via Razumikhin-type Theorems. Further estimations of the solution boundary and arrival time of the solution are also investigated based on practical stability. In addition, the proposed theorems are used to analyze the practical controllability of a general class of nonlinear discrete systems with input time delay. Some easy testing criteria for the uniform practical asymptotical stability are derived via Lyapunov function and Razumikhin technique. Finally a numerical example is given to illustrate the effectiveness of the proposed results.
Keywords :
Lyapunov methods; asymptotic stability; controllability; delay systems; discrete time systems; nonlinear systems; time-of-arrival estimation; Lyapunov function; Razumikhin type theorem; controllability; nonlinear discrete time delay system; practical asymptotic stability; solution arrival time; solution boundary estimations; Asymptotic stability; Automatic control; Communication system control; Control system analysis; Control systems; Controllability; Delay effects; Lyapunov method; Stability analysis; Stability criteria;
Conference_Titel :
Control and Automation, 2009. ICCA 2009. IEEE International Conference on
Conference_Location :
Christchurch
Print_ISBN :
978-1-4244-4706-0
Electronic_ISBN :
978-1-4244-4707-7
DOI :
10.1109/ICCA.2009.5410164