Title :
Stability analysis and estimation of the convergence rate of solutions for nonlinear time-delay systems
Author :
A. Yu. Aleksandrov;E. B. Aleksandrova;A. P. Zhabko;G. Dai
Author_Institution :
Faculty of Applied Mathematics and Processes of Control, Saint Petersburg State University, Russia 198504
Abstract :
Certain classes of systems with nonlinearities of a sector type and time-varying delay are studied. By the use of the Lyapunov functions method and the Razumikhin approach, conditions are obtained under which the zero solution of considered systems is asymptotically stable for an arbitrary continuous nonnegative and bounded delay. Moreover, estimates of the convergence rate of solutions are derived.
Keywords :
"Stability analysis","Delays","Asymptotic stability","Convergence","Lyapunov methods","Symmetric matrices","Control systems"
Conference_Titel :
Ultra Modern Telecommunications and Control Systems and Workshops (ICUMT), 2015 7th International Congress on
Electronic_ISBN :
2157-0221
DOI :
10.1109/ICUMT.2015.7382407
