Null controllability of nonlinear infinite delay systems with time varying multiple delays in control
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In this paper, sufficient conditions for the null controllability of a nonlinear infinite delay system with time varying multiple delays in the control are developed, where the uncontrolled system is uniformly asymptotically stable, and if the linear system is controllable, then the nonlinear system is null-controllable.About:
This article is published in Applied Mathematics Letters.The article was published on 1996-05-01 and is currently open access. It has received 15 citations till now. The article focuses on the topics: Null (mathematics) & Controllability.read more
Citations
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Schauder's fixed-point theorem in nonlinear controllability problems
TL;DR: In this paper, Schauder's fixed point theorem together with linear control ability results are used to obtain sufficient controllability conditions for different types of non-linea.r control systems.
Journal ArticleDOI
Controllability of Nonlinear Stochastic Systems with Multiple Time-Varying Delays in Control
TL;DR: Sufficient conditions are established for the relative controllability of semilinear stochastic systems by using the Banach fixed point theorem.
Journal ArticleDOI
Controllability analysis of linear time-varying systems with multiple time delays and impulsive effects
Yang Liu,Shouwei Zhao +1 more
TL;DR: In this paper, the controllability for linear time-varying systems with multiple time delays in the control and impulsive effects is addressed, and the solution of such systems based on the variation of parameters is derived.
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Controllability and Null Controllability of Linear Systems
I Davies,P.C. Jackreece +1 more
TL;DR: In this paper, the authors established sufficient conditions for the controllability of linear systems using the variation of constant formula to deduce their controllable grammiam, by exploiting the properties of the grammar and the asymptotic stability of the free system.
Journal ArticleDOI
Null controllability of nonlinear infinite neutral systems with delays in control
TL;DR: In this paper, sufficient conditions for the null controllability of nonlinear infinite neutral systems are established by using the Schauder fixed-point theorem, and both distributed delays and time varying delays in control variables are discussed.
References
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Book
Volterra Integral and Functional Equations
TL;DR: In this article, the authors present an overview of linear and nonlinear theory and frequency domain methods for nonlinear solutions of linear non-convolutional equations, including continuous dependence, differentiability and uniqueness.
Journal ArticleDOI
Asymptotic stability in viscoelasticity
TL;DR: In this article, it was shown that the solutions of (1.1) are asymptotically stable provided that g(T) is a nonnegative, monotonic non-increasing and convex function such that
Book
Integral equations and applications
TL;DR: The theory of integral and integrodifferential Volterra equations has been studied extensively in the literature, see as mentioned in this paper for an overview. But the main application of integral equations in abstract spaces has not yet been discussed.