Total controllability results for a class of time‐varying switched dynamical systems with impulses on time scales. Issue 1 (11th November 2020)

• Record Type: Journal Article
• Authors: Kumar, Vipin; Djemai, Mohamed; Defoort, Michael; Malik, Muslim
• Is Part Of: Asian journal of control. Volume 24:Issue 1(2022)
• Page Start: 474
• Page End: 482
• Publication Date: 2020-11-11
• Subjects: controllability -- switched impulsive system -- time scales; Automatic control -- Periodicals; Control theory -- Periodicals; 629.805
• DOI: 10.1002/asjc.2457
• Languages: English
• ISSNs: 1561-8625

Abstract

Abstract: In this paper, we establish some necessary and sufficient conditions of the controllability results for a class of impulsive switched systems with non‐instantaneous jumps on time scales. Firstly, we define the solution of the considered problem by using the parameter variation method. We also define some Gramian matrices to establish the controllability results. Moreover, we give some conditions under which the time invariant impulsive switched system is totally controllable. At the end, we provide one numerical example for different time scales to validate the obtained analytical results.