Controllability of Fuzzy Solutions for Neutral Impulsive Functional Differential Equations with Nonlocal Conditions

Impulsive Functional-differential Equations with Nonlocal Conditions

Approximate Controllability of Impulsive Differential Equations with Nonlocal Conditions ∗

It is well known that the issue of controllability plays an important role in control theory and engineering (see [1]-[5]) because they have close connections to pole assignment, structural decomposition, quadratic optimal control, observer design etc. In recent years, the problem of controllability for various kinds of differential and impulsive differential systems has been extensively studie...

Existence of Fuzzy Solutions For Nonlocal Impulsive Neutral Functional Differential Equations

In this paper, the existence of fuzzy solutions for first and second order nonlocal impulsive neutral functional differential equations are studied using Banach fixed point theorem. We used the techniques of fuzzy set theory, functional analysis, and Hausdorff metric. Example is provide to illustrate the theory.

Controllability of Impulsive Functional Differential Systems with Nonlocal Conditions

In this article, we study the controllability of impulsive functional differential equations with nonlocal conditions. We establish sufficient conditions for controllability, via the measure of noncompactness and Mönch fixed point theorem.

Approximate controllability of fractional impulsive neutral stochastic differential equations with nonlocal conditions

In this paper, the approximate controllability of fractional impulsive neutral stochastic differential equations with nonlocal conditions and infinite delay in Hilbert spaces is studied. By using the Krasnoselskii-Schaefer-type fixed point theorem and stochastic analysis theory, some sufficient conditions are given for the approximate controllability of the system. At the end, an example is giv...