Uniform Asymptotic Stability in Infinite Delay Systems
Copyright policy )Uniform Asymptotic Stability in Infinite Delay Systems
Using the technique of Lyapunov functionals, the author derives conditions for uniform asymptotic stability of infinite delay functional differential systems of the type \(x'(t)= f(t,x_ t)\), where \(x(t)\in \mathbb{R}^ n\) and \(x_ t(s)= x(t+ s)\), \(s\leq 0\). Integro-differential equations with infinite delay are considered as illustration of the stability results obtained.
- University of Missouri United States
Integro-ordinary differential equations, infinite delay functional differential systems, Stability theory of functional-differential equations, Applied Mathematics, uniform asymptotic stability, Stability of solutions to ordinary differential equations, Lyapunov functionals, Analysis, integro-differential equations with infinite delay
Integro-ordinary differential equations, infinite delay functional differential systems, Stability theory of functional-differential equations, Applied Mathematics, uniform asymptotic stability, Stability of solutions to ordinary differential equations, Lyapunov functionals, Analysis, integro-differential equations with infinite delay
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