Wiener systems consist of a linear dynamic system whose output is measured through a static non-linearity. In this paper we study the identification of single-input single-output Wiener systems with finite impulse response dynamics and polynomial output non-linearities. Using multi-index notation, we solve a least squares problem to estimate products of the coefficients of the non-linearity and...

We consider preconditioned Krylov subspace methods for solving large sparse linear systems under the assumption that the coefficient matrix is a (possibly singular) M -matrix. The matrices are partitioned into 2×2 block form using graph partitioning. Approximations to the Schur complement are used to produce various preconditioners of block triangular and block diagonal type. A few properties o...

Order-reduction techniques based on system balancing are developed for linear discrete systems using the method of singular perturbations. The generalized residualization technique is introduced with three variants as improved tools for orderreduction at low and medium frequencies. The newly introduced techniques have the same theoretical upper error bound with respect to the H∞ norm of the red...

BLOCK TRIANGULAR PRECONDITIONERS FOR -MATRICES AND MARKOV CHAINS MICHELE BENZI AND BORA UÇAR Abstract. We consider preconditioned Krylov subspace methods for solving large sparse linear systems under the assumption that the coefficient matrix is a (possibly singular) -matrix. The matrices are partitioned into block form using graph partitioning. Approximations to the Schur complement are used t...

The problem of robust stability analysis for uncertain discrete singular time-delay systems is investigated in this paper. By decomposing the nominal system into slow and fast subsystems, a linear matrix inequality (LMI) condition is proposed for a discrete singular time-delay system to be regular, causal and stable. Based on this, an LMI criterion is obtained for robust stability of an uncerta...

In this article, we introduce ST decomposition procedure to solve fully fuzzy linear systems. This paper mainly to discuss a decomposition of non singular fuzzy matrix, Symmetric times triangular(ST) decomposition. Every non singular fuzzy matrix can be represented as a product of symmetric matrix S and triangular matrix T in the form of trapezoidal fuzzy number matrices. By this method, we obt...

In this note‎, ‎we obtain some singular values inequalities for positive semidefinite matrices by using block matrix technique‎. ‎Our results are similar to some inequalities shown by Bhatia and Kittaneh in [Linear Algebra Appl‎. ‎308 (2000) 203-211] and [Linear Algebra Appl‎. ‎428 (2008) 2177-2191]‎.

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...

We study quaternionic linear equations of type λm(x) := m j=1 b j xc j = e with quaternionic constants b j , c j , e and arbitrary positive integer m. For m = 2 the resulting equation is called Sylvester's equation. For this case a complete solution (solution formula, determination of null space) will be given. For the general case we show that the solution can be found by a corresponding matri...

This note proposes a multirate sampleddata system to model the discrete schedule feature of the networked singular control systems. Sampleddata system with time-delay in its discrete-time subsystem shows some nice features to admit many network-induced topics, for example, time-delay, packet dropout. Beside of the networked control systems with different combinations of the time-driven or event...