Linear periodic descriptor systems represent a broad class of time evolutionary processes in micro-electronics and circuit simulation in particular. In this paper we consider discrete-time linear periodic descriptor systems and study the concepts of periodic reachability and observability of the systems based on earlier ideas of Chu et al. [1]. We define reachability and observability Gramians ...

The positive stabilization problem of discrete-time descriptor systems by means of state-feedback control is studied here. Thus, conditions are developed for a state-feedback controller to make the controlled descriptor system simultaneously stable and positive. An illustrative example is provided to illustrate the proposed approach.

The linear quadratic zero-sum dynamic game for discrete time descriptor systems is considered. A method, which involves solving a linear quadratic zero-sum dynamic game for a reduced-order discrete time state space system, is developed to nd the linear feedback saddle-point solutions of the problem. Checkable conditions, which are described in terms of two dual algebraic Riccati equations and a...

We describe a recently developed Descriptor Systems Toolbox implemented under Matlab. This Toolbox relies on the object oriented approach for control systems analysis and design provided within the standard Control Toolbox of Matlab. The basic approach to develop the Descriptor Systems Toolbox was to exploit the powerful matrix and system object manipulation features of Matlab via flexible and ...