Kybernetika 54 no. 4, 664-698, 2018

Controllability of linear impulsive matrix Lyapunov differential systems with delays in the control function

Vijayakumar S. Muni and Raju K. GeorgeDOI: 10.14736/kyb-2018-4-0664

Abstract:

In this paper, we establish the controllability conditions for a finite-dimensional dynamical control system modelled by a linear impulsive matrix Lyapunov ordinary differential equations having multiple constant time-delays in control for certain classes of admissible control functions. We characterize the controllability property of the system in terms of matrix rank conditions and are easy to verify. The obtained results are applicable for both autonomous (time-invariant) and non-autonomous (time-variant) systems. Two numerical examples are given to illustrate the theoretical results obtained in this paper.

Keywords:

controllability, impulsive differential systems, matrix Lyapunov systems, delays

Classification:

34A37, 93B05, 93C05, 93C15

paper.pdf

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