Results 31 to 40 of about 334 (139)

Razumikhin-type theorem on time-changed stochastic functional differential equations with Markovian switching

Open Mathematics, 2019
This work is mainly concerned with the exponential stability of time-changed stochastic functional differential equations with Markovian switching. By expanding the time-changed Itô formula and the Razumikhin theorem, we obtain the exponential stability ...
Zhang Xiaozhi, Yuan Chenggui
doaj   +1 more source

Exponentially dissipative nonlinear dynamical systems: a nonlinear extension of strict positive realness

Mathematical Problems in Engineering, Volume 2003, Issue 1, Page 25-45, 2003., 2003
We extend the notion of dissipative dynamical systems to formalize the concept of the nonlinear analog of strict positive realness and strict bounded realness. In particular, using exponentially weighted system storage functions with appropriate exponentially weighted supply rates, we introduce the concept of exponential dissipativity.
VijaySekhar Chellaboina, Wassim M. Haddad   +1 more
wiley   +1 more source

A Dynamic SIqIRV Mathematical model with Non-linear Force of Isolation, Infection and Cure

Nonautonomous Dynamical Systems, 2022
The Susceptible-Isolated-Infected-Recovered-Vaccinated (SIqIRV) deterministic model is examined in this paper. This model considers a nonlinear force of quarantine, infection and care, where vaccinated individuals lose their immunity after a period of ...
Chatzarakis G. E., Dickson S., Padmasekaran S.   +2 more
doaj   +1 more source

Analysis of chaotic and hyperchaotic conservative complex nonlinear systems

, 2017
The aim of this paper is to introduce and analyze chaotic and hyperchaotic conservative complex nonlinear systems. These systems appear in several branches of applied sciences.
M. Gamal, Ahmed K. Mansour
semanticscholar   +1 more source

Stability and stabilizability of dynamical systems with multiple time‐varying delays: delay‐dependent criteria

Mathematical Problems in Engineering, Volume 2003, Issue 4, Page 137-152, 2003., 2003
This paper deals with the class of uncertain systems with multiple time delays. The stability and stabilizability of this class of systems are considered. Their robustness are also studied when the norm‐bounded uncertainties are considered. Linear matrix inequality (LMIs) delay‐dependent sufficient conditions for both stability and stabilizability and ...
D. Mehdi, E. K. Boukas
wiley   +1 more source

Complex dynamics of a four-species food-web model: An analysis through Beddington-DeAngelis functional response in the presence of additional food

Computational and Mathematical Biophysics, 2023
The four-dimensional food-web system consisting of two prey species for a generalist middle predator and a top predator is proposed and investigated. The middle predator is predating over both the prey species with a modified Holling type-II functional ...
Rani Surbhi, Gakkhar Sunita, Singh Anuraj   +2 more
doaj   +1 more source

On eventual stability of impulsive systems of differential equations

International Journal of Mathematics and Mathematical Sciences, Volume 27, Issue 8, Page 485-494, 2001., 2001
The notions of Lipschitz stability of impulsive systems of differential equations are extended and the notions of eventual stability are introduced. New notions called eventual and eventual Lipschitz stability. We give some criteria and results.
A. A. Soliman
wiley   +1 more source

Stability properties of a Cournot-type oligopoly model with time delay

Annals of the West University of Timisoara: Mathematics and Computer Science, 2023
The paper studies a Cournot game involving n private firms, where the firms’ interactions are analyzed in a discrete-time setting with time delay. The past production levels of other private firms have an impact on the production levels of each private ...
Culda Loredana Camelia
doaj   +1 more source

The strict stability of dynamic systems on time scales

International Journal of Stochastic Analysis, Volume 14, Issue 2, Page 195-204, 2001., 2001
The strict stability of dynamic systems on time scales is examined with sufficient conditions. Results analogous to Lyapunov′s theorems ae proved and discussed using a comparison principle.
S. Sivasundaram
wiley   +1 more source

Second method of Lyapunov for stability of linear impulsive differential‐difference equations with variable impulsive perturbations

International Journal of Stochastic Analysis, Volume 11, Issue 2, Page 209-216, 1998., 1997
The present work is devoted to the study of stability of the zero solution to linear impulsive differential‐difference equations with variable impulsive perturbations. With the aid of piecewise continuous auxiliary functions, which are generalizations of the classical Lyapunov′s functions, sufficient conditions are found for the uniform stability and ...
D. D. Bainov, I. M. Stamova, A. S. Vatsala   +2 more
wiley   +1 more source