In this paper, a generalized method as Single term Haar wavelet series (STHWS) for solving linear singular systems is discussed. This new approach provides a better effectiveness to find discrete solutions of different order singular systems for any length of time t. This is a direct method and can be easily implemented in a digital computer.

This paper considers the problem of discrete passive filter design method for singular systems with interval time-varying delay. A bounded real lemma (BRL) for discrete passivity with a dissipation of discretetime delayed singular systems by a Lyapunov function is derived. A delay-dependent discrete passive filter design method is proposed by linear matrix inequality (LMI) approach on the basis...

The problem of stochastic finite-time guaranteed cost control is investigated for Markovian jumping singular systems with uncertain transition probabilities, parametric uncertainties, and time-varying norm-bounded disturbance. Firstly, the definitions of stochastic singular finitetime stability, stochastic singular finite-time boundedness, and stochastic singular finite-time guaranteed cost con...

The paper consists of two parts. In the first part, new canonical forms are defined for singular 1D linear systems and a procedure to determine nonsingular matrices transforming matrices of singular systems to their canonical forms is derived. In the second part new canonical forms of matrices of the singular 2D Roesser model are defined and a procedure for determining realisations in canonical...