On the Controllability of Linear and Semilinear Impulsive Systems. (11th June 2018)

• Record Type: Journal Article
• Authors: Dubey, Bhaskar; George, Raju K.
• Is Part Of: Numerical functional analysis and optimization. Volume 39:Number 8(2018)
• Page Start: 843
• Page End: 864
• Publication Date: 2018-06-11
• Subjects: Controllability -- impulsive systems -- Lipschitzian-nonlinearities -- semilinear systems; 93B05 -- 34H05 -- 93C10 -- 93C15; Functional analysis -- Periodicals; Numerical analysis -- Periodicals; Mathematical optimization -- Periodicals; Numerical Analysis, Computer-Assisted; 515.705
• DOI: 10.1080/01630563.2017.1423327
• Languages: English
• ISSNs: 0163-0563

Abstract

ABSTRACT: In this paper, we establish some sufficient conditions for the complete controllability of linear and semilinear impulsive systems. For the semilinear systems, we assume that nonlinearities are Lipschitzian type. We invoke the tools of nonlinear functional analysis and fixed point theorems to establish the results. The results are also compared with the existing results in the literature in order to show the effectiveness of the results obtained. Few illustrative examples are provided to substantiate the results.