In this paper, we investigate the problem of bifurcation control for a delayed logistic growth model. By choosing the timedelay as the bifurcation parameter, we present a Proportional - Derivative (PD) Controller to control Hopf bifurcation. We show that the onset of Hopf bifurcation can be delayed or advanced via a PD Controller by setting proper controlling parameter. Under consideration mode...

Abstract. The objective of this work is to present sufficient conditions that can guarantee stability of discrete-time Linear Parameter-Varying (LPV) systems. The proposed stability conditions are described in terms of linear matrix inequality (LMIs). LPV systems are systems whose dynamics changes according to a varying parameter, usually called the scheduling parameter. Practical examples of s...

In the presented paper, we address a problem of the appropriate setting of a parameter in a selected quasipolynomial with two delay elements in order to ensure that all its zeros are located in the open left-half complex plane. The quasipolynomial can represent the dynamics of a system with internal delays and thus it can decide about system stability. In contrast to many other analyses, a non-...

S AbstractWe analyze the robust stability of Inverse LQ regulators for single-input linear systems with uncertain input delay. Unlike the usual LQ regulator, the Inverse LQ regulator has a gain tuning parameter that can be chosen freely to some extent without losing its LQ optimality. Utilizing this freedom we seek the range of tuning parameter that ensures the robust stability against the unce...

The stability of a neural network model may often be destroyed by the parameter deviations during the implementation. However, few results (if any) for the asymptotical stability of such system with a certain degree of parameter deviations have been reported in the literature. In this paper, we present a simple delayed neural network model, in which each parameter deviates the reference point w...

Complex polynomial family with coeÆcients dependent aÆnely on a complex uncertain parameter is considered in this paper. New test for robust Hurwitz stability of a line segment is proposed. Simple numerical routine is presented for computation of a stability region in the complex parameter plane. The relationship between the H1 norm of a stable rational function and a stability bound on the com...

A study of the stability properties of the set of equilibrium points that are solutions for a given constraint satisfaction or optimization problem mapped to Hopfield network dynamics is presented. Specifically, the relation between constraint weight parameter values and the stability of solutions of optimization problems mapped to Hopfield networks is investigated. A theoretical development re...

Congestion games are, perhaps, the most famous class of non-cooperative games due to their capability to model several interesting competitive scenarios, while maintaining some nice properties. In these games there is a set of players sharing a set of resources, where each resource has an associated latency function which depends on the number of players using it (the so-called congestion). Eac...