Mathematical Sciences: Faculty Publications

Controllability and Observability of Matrix Differential Algebraic Equations

Document Type

Article

Publication Date

2011

Publication Title

Journal of Circuits, Systems, and Signal Processing

ISSN

1998-4464

Abstract

Controllability and observability of a class of matrix Differential Algebraic Equation (DAEs) are studied in this paper. The structure of a closed-form solution for the system is sought via two one-sided sub-systems. The solution is then used to derive necessary and sufficient conditions for the controllability and observability of the time-varying matrix DAE systems. More straightforward conditions on the controllability and observability of linear time-invariant matrix DAE systems that only depend on the state matrices are also obtained.

Copyright

This work is archived and distributed under the repository's Standard Copyright and Reuse License (opens in new tab). End users may copy, store, and distribute this work without restriction. For all other uses, permission must be obtained from the copyright owners or their authorized agents.

Link to Full Text

Share

COinS