Title :
Exponential Stability of Integral Delay Systems With a Class of Analytic Kernels
Author :
Mondie, Sabine ; Melchor-Aguilar, D.
Author_Institution :
Dept. of Autom. Control, CINVESTAV-IPN, Mexico City, Mexico
Abstract :
The exponential stability of a class of integral delay systems with analytic kernels is investigated by using the Lyapunov-Krasovskii functional approach. Sufficient delay-dependent stability conditions and exponential estimates for the solutions are derived. Special attention is paid to the particular cases of polynomial and exponential kernels.
Keywords :
Lyapunov methods; asymptotic stability; delay systems; polynomials; Lyapunov-Krasovskii functional approach; analytic kernel; delay-dependent stability; exponential kernel; exponential stability; integral delay system; polynomial kernel; Delay; Delay systems; Kernel; Linear matrix inequalities; Numerical stability; Stability criteria; Delay systems; Lyapunov–Krasovskii functionals; exponential stability;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.2011.2178653
