Liapunov functionals and asymptotic stability in infinite delay systems
نویسندگان
چکیده
منابع مشابه
Uniform Asymptotic Stability via Liapunov - Razumikhin Technique
The Liapunov Razumikhin technique is applied to obtain the uniform asymptotic stability for linear integrodifferential equations in Hilbert spaces, x′(t) = A [ x(t) + ∫ t # F (t− s)x(s)ds ] , t ≥ t0 ≥ 0, (# = 0 or −∞), which occur in viscoelasticity and in heat conduction for materials with memory.
متن کاملAsymptotic Stability of Differential Equations with Infinite Delay
A theorem on asymptotic stability is obtained for a differential equation with an infinite delay in a function space which is suitable for the numerical computation of the solution to the infinite delay equation.
متن کاملAsymptotic Stability of Interval Time-Delay Systems
In this paper we consider the asymptotic stability of linear interval time-delay systems on the base of using Lyapunov’s direct method and methods of interval analysis. A sufficient condition of asymptotic stability is obtained using the concept of Lyapunov–Krasovsky functional.
متن کاملOn Liapunov-Krasovskii functionals under Carathéodory conditions
In this paper, a basic property that a Liapunov-Krasovskii functional must have when used for studying the stability of time delay systems under Carath¶eodory conditions is studied. This property concerns the equality, almost everywhere, of the upper right-hand Dini derivative of the Liapunov-Krasovskii functional evaluated at the solution, and of the Liapunov-Krasovskii derivative (computed by...
متن کاملMoment Asymptotic Stability of Stochastic Hybrid Delay Systems
In this paper we investigate the moment asymptotic stability for the nonlinear stochastic hybrid delay systems. Sufficient criteria on the stabilization and robust stability are also established for linear stochastic hybrid delay systems. Copyright c ©2005 IFAC
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Tohoku Mathematical Journal
سال: 1997
ISSN: 0040-8735
DOI: 10.2748/tmj/1178225057