The aim of this work is to study the dissipative control problem for singular impulsive dynamical systems. We start by introducing the impulse to the singular systems, and give the definition of the dissipation for singular impulsive dynamical systems. Then we discuss the dissipation of singular impulsive dynamical systems, we obtain some sufficient and necessary conditions for dissipation of t...

The present paper considers singular value decomposition (SVD) for a class of linear time-varying systems. The class considered herein describes timedriven switched linear systems. Based on an appropriate input-output description, the calculation method of singular values and singular vectors is derived. The SVD enables us to characterize the dominant input–output signals using singular vectors...

M.M. Share Pasand, H.D. Taghirad Abstract— The problem of model based internal control of singular systems is investigated and the limitations of directly extending the control schemes for normal systems to singular ones were analyzed in this paper. A robust approach is proposed in order to establish the control scheme for singular systems, and moreover, to present a framework for robust contro...

In this paper, we present new definitions of stability of singular systems with delay based on the works of B.Baji'c and M.Mili'c, and establish theorem on stability. Then the sufficient conditions for uniform stability of a class of special nonlinear singular systems with delay are suggested. Keywords: Nonlinear singular systems, singular systems with delay, stability, uniform stability. 1. IN...

Abstract: New classes of singular fractional continuous-time and discrete-time linear systems are introduced. Electrical circuits are example of singular fractional continuous-time systems. Using the Caputo definition of the fractional derivative, the Weierstrass regular pencil decomposition and Laplace transformation the solution to the state equation of singular fractional linear systems is d...

1.1 Classes of systems to be considered It should be noticed that in some systems we must consider their character of dynamic and static state at the same time. Singular systems (also referred to as degenerate, descriptor, generalized, differential-algebraic systems or semi-state) are those, the dynamics of which are governed by a mixture of algebraic and differential (difference) equations. Re...

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...

using the group inverse, an explicit solution to a symmetric singular system is described. The general explicit solution is derived when the symmetric singular system satisfies the regularity condition. Certain special properties of these singular systems are presented. Finally, a symmetric balanced realization is obtained from an equivalent standard control system. @ 2002 Elsevier Science Ltd....

We consider the behavior of the GMRES method for solving a linear system Ax = b when A is singular or nearly so, i.e., ill conditioned. The (near) singularity of A may or may not affect the performance of GMRES, depending on the nature of the system and the initial approximate solution. For singular A, we give conditions under which the GMRES iterates converge safely to a least-squares solution...