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

Title:

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

Creator:

Muni, Vijayakumar S. and George, Raju K.

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:ed8976d8-4b0c-439f-b095-0c2766f76f26
uuid:ed8976d8-4b0c-439f-b095-0c2766f76f26
doi:10.14736/kyb-2018-4-0664

Subject:

matrix Lyapunov systems, controllability, impulsive differential systems, and delays

Type:

model:article and TEXT

Format:

bez média and svazek

Description:

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.

Language:

English

Rights:

http://creativecommons.org/publicdomain/mark/1.0/
policy:public

Source:

Kybernetika | 2018 Volume:54 | Number:4

Harvested from:

CDK

Metadata only:

false