Abstract: The main objective of this article is to develop a matrix pencil approach for the study of the controllability and reachability of a class of linear singular discrete time systems. The description equation of a practical system may be established through selection of the proper state variables. Time domain analysis is the method of analyzing the system based on this description equati...

In this work, N-periodic linear singular systems are considered. Feedbacks for obtaining positive N-periodic singular systems are analyzed. Some properties on the existence of these feedbacks are established. The concept of holdability of the setR+ is used for getting a positive trajectory of the closed-loop singular systems. This paper examines how feedbacks can be used to modify the trajector...

In this paper, the complex dynamics of a discrete singular biological economic system are first investigated. Firstly, we establish a discrete singular biological economic system, which is based on the discretization of a differential–algebraic equations that is described by a ratio-dependent predator–prey system with harvesting and economic factor. Then it is shown that the system undergoes fl...

We study periodic Lyapunov matrix equations for a general discrete-time linear system Bpxp−Apxp−1=fp, where the coefficients Bp and Ap can be singular. The block of inverse operator are referred to as Green matrices. derive new decay estimates matrices in terms spectral norms special solutions equations. is based on Schur decomposition