Title :
Stability for retarded delay equations with multiple delays
Author :
Fabiano, R.H. ; Turi, J.
Author_Institution :
Dept. of Math. Sci., North Carolina Univ., Greensboro, NC
Abstract :
We consider the issue of stability for retarded delay equations with multiple delays. We show how a renorming of the energy state space can be used to obtain a dissipative inequality which implies exponential stability of the solution semigroup associated with the delay differential equation. We provide a detailed proof for the scalar case with two delays, then indicate how the proof extends to systems and multiple delays
Keywords :
asymptotic stability; delay-differential systems; differential equations; group theory; delay differential equation; energy state space; exponential stability; multiple delays; retarded delay equations; semigroup; Delay systems; Differential equations; Energy states; Linear matrix inequalities; Stability analysis; State-space methods; Sufficient conditions; USA Councils;
Conference_Titel :
Decision and Control, 2006 45th IEEE Conference on
Conference_Location :
San Diego, CA
Print_ISBN :
1-4244-0171-2
DOI :
10.1109/CDC.2006.377005
