Title :
Remarks on integral-ISS for systems with delays
Author :
Tiwari, Sunita ; Yuan Wang ; Zhong-Ping Jiang
Author_Institution :
Dept. of Math. Sci., Florida Atlantic Univ., Boca Raton, FL, USA
Abstract :
The notion of integral input-to-state stability (integral-ISS) is now recognized as a central concept in nonlinear systems analysis. In this work, we explore the Razumikhin approach to the integral-ISS property for systems with delays. The main idea is to treat the delayed state variable as a disturbance input. The results in this work extend the previous results on the Razumikhin method in the contexts of asymptotic stability and ISS to the context of integral-ISS.
Keywords :
asymptotic stability; delays; integral equations; nonlinear control systems; Razumikhin approach; asymptotic stability; delayed state variable; input-to-state stability; integral-ISS; nonlinear systems analysis; Asymptotic stability; Context; Delay; Lyapunov methods; Stability criteria; Trajectory; Lyapunov- Razumikhin method; integral-ISS; nonlinear systems with delays; robust stability;
Conference_Titel :
Intelligent Control and Automation (WCICA), 2012 10th World Congress on
Conference_Location :
Beijing
Print_ISBN :
978-1-4673-1397-1
DOI :
10.1109/WCICA.2012.6358245
