This paper presents a necessary and sufficient condition for discrete-time singular Markovian jump linear systems with defective statistics of modes transitions to be regular, causal, and stochastically stable. The static output-feedback stabilization problem for discrete-time singular Markovian jump linear system with defective statistics of modes transitions is studied. Furthermore, the defec...

This paper treats a nonlinear dynamical system with both continuous-time and discrete-time variables as a differential–difference–algebraic equation (DDA) or a hybrid dynamical system, presents a fundamental analyzing method of such a DDA system for local sampling, asymptotical stability, singular perturbations and bifurcations, and further shows that there exist four types of generic codimensi...

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...

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...

in this paper, we studied the numerical solution of nonlinear weakly singular volterra-fredholm integral equations by using the product integration method. also, we shall study the convergence behavior of a fully discrete version of a product integration method for numerical solution of the nonlinear volterra-fredholm integral equations. the reliability and efficiency of the proposed scheme are...

We present a fourth order numerical solution method for the singular Neumann boundary problem of Poisson equations. Such problems arise in the solution process of incompressible Navier–Stokes equations and in the time-harmonic wave propagation in the frequence space with the zero wavenumber. The equation is first discretized with a fourth order modified Collatz difference scheme, producing a si...

This paper concerns the robust H∞ filtering problem for discrete-time singular systems with norm-bounded uncertainties in all system matrices of state equations. On the basis of the admissibility assumption of the uncertain singular systems, a set of necessary and sufficient conditions for the existence of the desired filters is established, and a normal filter design method under the linear ma...

This paper is concerned with the problem of positive real control for uncertain discrete singular systems with state delay. The discrete singular system under consideration involves state time delay and unstructured time-invariant norm-bounded parameter uncertainties in both the state and input matrices. The problem we address is the design of state feedback controllers such that, for all admis...