Abstract. This paper characterizes the stability crossing curves of a class of linear systems with gamma-distributed delay with a gap. First, we describe the crossing set, i.e., the set of frequencies where the characteristic roots may cross the imaginary axis as the parameters change. Then, we describe the corresponding stability crossing curves, i.e., the set of parameters such that there is ...

Two ecient and numerically stable methods for the computation of the largest p Lyapunov characteristic exponents of an n dimensional discrete dynamical systems are presented. The eciencies of the proposed methods are compared with the eciencies of other methods through an operation count, and illustrated with an example. Ó 2000 Elsevier Science Inc. All rights reserved.

The present paper brings out a mathematical model of Ammensal-enemy both immigrated species pair with limited resources. This model is built by a couple of first order non-linear ordinary differential equations. One and only one equilibrium point of this model is traced and the stability criteria at this equilibrium point are derived. Solutions for the linearized perturbed equations are ascerta...

A computational model of the formation of peer groups in children is presented. We used standard sociometric measurements (the CDC classification of Popular, Rejected, Neglected, and Controversial individuals) to compare the model to empirical data. The model fit this data well in terms of category distributions and stability, even without introducing individual differences. When individual dif...

In this study, a new method for designing the damping controller was proposed to improve the transient power system stability in a single machine network connected to an infinite bus. The STATCOM controller problem in a wide area of the system function was considered as an optimization problem with multi-purpose objective function. Also, the Honey Bee Mating Optimization Algorithm was used to d...

The (non-initialized, non-deterministic) asynchronous systems (in the input-output sense) are multi-valued functions from m-dimensional signals to sets of n-dimensional signals, the concept being inspired by the modeling of the asynchronous circuits. Our purpose is to state the problem of the their stability.

In this paper, we investigate the almost surely asymptotic stability for the nonlinear stochastic di erential delay equations with Markovian switching. Some su0cient criteria on the controllability and robust stability are also established for linear stochastic di erential delay equations with Markovian switching. ? 2003 Elsevier Ltd. All rights reserved.