Title :
On the stability of delay-differential systems in the behavioral framework
Author :
Valcher, Maria Elena
Author_Institution :
Dipt. di Ingegneira dell´´Innovazione, Lecce Univ., Italy
fDate :
10/1/2001 12:00:00 AM
Abstract :
In the behavioral approach, a linear time-invariant (LTI) delay-differential system is naturally introduced by Glusing-Luerssen (1997) as a continuous-time system whose dynamics are governed by a set of delay-differential equations, involving both painted and distributed delay operators. For this class of systems the notion of autonomy is introduced and characterized. Finally, asymptotic stability of autonomous delay-differential systems is investigated
Keywords :
asymptotic stability; controllability; delay-differential systems; differential equations; linear systems; asymptotic stability; autonomous systems; controllability; delay-differential systems; differential equations; linear time-invariant system; Asymptotic stability; Automatic control; Control nonlinearities; Control systems; Delay systems; Limit-cycles; Nonlinear control systems; Nonlinear dynamical systems; Oscillators; Velocity control;
Journal_Title :
Automatic Control, IEEE Transactions on
