Controllability and Observability of Matrix Differential Algebraic Equations
Journal of Circuits, Systems, and Signal Processing
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.
"Controllability and Observability of Matrix Differential Algebraic Equations."
Journal of Circuits, Systems, and Signal Processing, 5 (3): 287-296.