Controllability of the Second-Order Nonlinear Differential Equations with Non-instantaneous Impulses

被引：54

作者：

Kumar, Avadhesh ^{[1
]}

Muslim, M. ^{[1
]}

Sakthivel, R. ^{[2
,3
]}

机构：

[1] Indian Inst Technol Mandi, Sch Basic Sci, Kamand 175005, HP, India

[2] Bharathiar Univ, Dept Math, Coimbatore 641046, Tamil Nadu, India

[3] Sungkyunkwan Univ, Dept Math, Suwon 440746, South Korea

来源：

JOURNAL OF DYNAMICAL AND CONTROL SYSTEMS | 2018年 / 24卷 / 02期

关键词：

Exact controllability; Non-instantaneous impulses; Banach fixed point theorem; SEMILINEAR STOCHASTIC-SYSTEM; APPROXIMATE CONTROLLABILITY; EVOLUTION-EQUATIONS; INFINITE DELAY; POISSON JUMPS; EXISTENCE;

D O I：

10.1007/s10883-017-9376-5

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

The objective of this paper is to establish the sufficient condition for the controllability of a control problem represented by second-order nonlinear differential equation with non-instantaneous impulses in a Hilbert space X. The results are obtained using the strongly continuous cosine family of linear operators and Banach fixed point method. Also, we study the controllability of the nonlocal as well as integro-differential systems. Finally, a few examples are provided to illustrate the applications of the obtained abstract results.

引用

页码：325 / 342

页数：18

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