Title :
Instability conditions for neutral type time delay systems
Author :
Ochoa, G. ; Mondié, S.
Author_Institution :
Autom. Control Dept., CINVESTAV-IPN, Mexico City, Mexico
Abstract :
A complete type Lyapunov-Krasovskii functional for neutral type-time delay systems with given cross terms in the time derivative is presented. The facts that the existance of this functional is guaranteed for exponentially stable systems and that it admits a quadratic lower bound allows to propose new instability conditions for this class of systems.
Keywords :
Lyapunov methods; asymptotic stability; delay systems; delays; functional analysis; complete type Lyapunov-Krasovskii functional; exponential stable system; instability condition; neutral type time delay system; quadratic lower bound; time derivative; Asymptotic stability; Automatic control; Control systems; Delay effects; Delay systems; Differential equations; Linear matrix inequalities; Linear systems; Lyapunov method; Sufficient conditions;
Conference_Titel :
Decision and Control, 2008. CDC 2008. 47th IEEE Conference on
Conference_Location :
Cancun
Print_ISBN :
978-1-4244-3123-6
Electronic_ISBN :
0191-2216
DOI :
10.1109/CDC.2008.4738881