This paper deals with the determination of the conditions for which the hysteretic Bouc-Wen model is consistent with the physical phenomenon it is supposed to represent. In particular, we derive the conditions on the model parameters under which the model is stable, asymptotically dissipative and verifies the hysteretic property. These conditions are in the form of algebraic inequalities to be ...

Stability issues of linear Takagi–Sugeno (T–S) fuzzy models are investigated. We first propose a systematic way of searching for a common matrix, which, in turn, is related to stability for N subsystems that are under a pairwise commutative assumption. The robustness issue under uncertainty in each subsystem is then considered. We then show that the pairwise commutative assumption can, in fact,...

We present necessary and sufficient conditions for the termination of linear homogeneous programs. We also develop a complete method to check termination for this class of programs. Our complete characterization of termination for such programs is based on linear algebraic methods. We reduce the verification of the termination problem to checking the orthogonality of a well determined vector sp...

We prove the global asymptotic stability of a well-known delayed negativefeedback model of testosterone dynamics, which has been proposed as a model of oscillatory behavior. We establish stability (and hence the impossibility of oscillations) even in the presence of delays of arbitrary length.

The directed search model (Peters, 1984) is static; its dynamic extensions typically restrict strategies, often assuming price or match commitments. We lift such restrictions to study equilibrium when search can be directed over time, without constraints and at no cost. In equilibrium trade frictions arise endogenously, and price commitments, if they do exist, are self-enforcing. In contrast to...

For symmetric indeenite tridiagonal matrices, block LDL T factorization without interchanges is shown to have excellent numerical stability when a pivoting strategy of Bunch is used to choose the dimension (1 or 2) of the pivots.

In this paper, using the approach of Hurwitz and the necessary conditions given in 4,6], we construct a third order linear diierential equation whose diierential Galois group is the primitive subgroup F SL3 36 S L(3; C) of order 108.

The belonging of solutions to a certain function space is a characteristic property for studying the asymptotic behavior of solutions of differential equations. Many works are concerned with the connection between the properties of solutions and stability. We name here the monographs [1-3] on ordinary differential equations and the works [4-9] on functional differential equations. For different...

We study the phenomenon of increasing stability of the diffusion and absorption coefficients in the diffuse equation. We derive some bounds which can be viewed as an evidence of increasing stability when the frequency is growing. These bounds hold under a-priori assumptions on the diffusion and absorption coefficients.

We present an up-to-date survey of numerical methods for the analysis and design of linear discrete-time periodic systems. The basic tool is the periodic Schur form and its variants, for which a certain form of numerical stability can be ensured.