Total controllability and observability for dynamic systems with non‐instantaneous impulses on time scales

Abstract

In this paper, we establish the total controllability and observability results for a dynamic system with non‐instantaneous impulses on time scales in a finite dimensional space Rn. This paper consists of two segments: the first segment of the work is concerned with total controllability and the other segment with total observability analysis. The tools for study include variation of parameter and Gramian matrix. Some theoretical as well as numerical examples with simulation for two time scales double-struckT=double-struckR and double-struckT=P1,1 are given to illustrate the application of these results.

Total Controllability of nonlocal semilinear functional evolution equations with non-instantaneous impulses

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