Title :
On attractive practical stability of the systems with state delay: A new algebraic inequalities approach
Author :
Debeljkovic, Dragutin Lj ; Buzurovic, Ivan M. ; Misic, Milan A. ; Jovanovic, Aleksandra M.
Author_Institution :
Dept. of Control Eng., Univ. of Belgrade, Belgrade, Serbia
Abstract :
The attractive practical stability of the linear continuous control systems with time delay was investigated in this paper. The Lyapunov´s direct method was used to obtain the time-dependent conditions for the system stability. For this purpose, two matrix equations were presented: the matrix polynomial equation and the continuous algebraic Lyapunov matrix equation. The solution of the time delay differential equation was combined with the well-known Lyapunov approach to obtain the conditions for the attractive practical stability. Using this approach, we derived a sufficient novel delay-dependent condition for the practical stability of these control systems. As a result, the fulfillment of the stability conditions guarantees the attractivity of the system.
Keywords :
Lyapunov methods; continuous systems; delays; differential equations; linear systems; polynomial matrices; stability; Lyapunov direct method; algebraic inequalities approach; attractive practical stability; continuous algebraic Lyapunov matrix equation; linear continuous control systems; matrix polynomial equation; state delay; sufficient delay-dependent condition; time delay differential equation; time-dependent conditions; Asymptotic stability; Delay effects; Delays; Mathematical model; Stability criteria; Trajectory; Linear continuous time delayed systems; Lyapunov functional; attractive practical stability;
Conference_Titel :
Control and Decision Conference (CCDC), 2015 27th Chinese
Conference_Location :
Qingdao
Print_ISBN :
978-1-4799-7016-2
DOI :
10.1109/CCDC.2015.7162876
