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.

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