Stability analysis of recurrent neural networks with random delay and Markovian switching.
Displaying 1561 – 1580 of 1832
Stability analysis of the five-dimensional energy demand-supply system
Kun-Yi Yang, Chun Xia An (2021)
Kybernetika
In this paper, a five-dimensional energy demand-supply system has been considered. On the one hand, we analyze the stability for all of the equilibrium points of the system. For each of equilibrium point, by analyzing the characteristic equation, we show the conditions for the stability or instability using Routh-Hurwitz criterion. Then numerical simulations have been given to illustrate all of cases for the theoretical results. On the other hand, by introducing the phenomenon of time delay, we...
Stability and Asymptotic Behavior for Certain Systems of Delay Difference Equations
J. Morchało (1997)
Publications de l'Institut Mathématique
Stability and bifurcation in a delayed predator-prey system with stage structure and functional response.
Zhang, Xiao, Xu, Rui, Gan, Qintao (2009)
Electronic Journal of Differential Equations (EJDE) [electronic only]
Stability and bifurcation in a simplified four-neuron bam neural network with multiple delays.
Yan, Xiang-Ping, Li, Wan-Tong (2006)
Discrete Dynamics in Nature and Society
Stability and bifurcation of numerical discretization Nicholson blowflies equation with delay.
Ding, Xiaohua, Li, Wenxue (2006)
Discrete Dynamics in Nature and Society
Stability and Boundedness of Solutions of a Certain System of Third-order Nonlinear Delay Differential Equations
Mathew Omonigho Omeike (2015)
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
In this paper a number of known results on the stability and boundedness of solutions of some scalar third-order nonlinear delay differential equations are extended to some vector third-order nonlinear delay differential equations.
Stability and Boundedness of Solutions of Some Third-order Nonlinear Vector Delay Differential Equation
Larbi Fatmi, Moussadek Remili (2016)
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
This paper investigates the stability of the zero solution and uniformly boundedness and uniformly ultimately boundedness of all solutions of a certain vector differential equation of the third order with delay. Using the Lyapunov–Krasovskiĭ functional approach, we obtain a new result on the topic and give an example for the related illustrations.
Stability and Boundednessof the Solutions of Non Autonomous Third Order Differential Equations with Delay
Moussadek Remili, Lynda Damerdji Oudjedi (2014)
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
In this article, we shall establish sufficient conditions for the asymptotic stability and boundedness of solutions of a certain third order nonlinear non-autonomous delay differential equation, by using a Lyapunov function as basic tool. In doing so we extend some existing results. Examples are given to illustrate our results.
Stability and gradient dynamical systems.
Jack K. Hale (2004)
Revista Matemática Complutense
The objective in these notes is to present an approach to dynamical systems in infinite dimensions. It does not seem reasonable to make a comparison of all of the orbits of the dynamics of two systems on non locally compact infinite dimensional spaces. Therefore, we choose to compare them on the set of globally defined bounded solutions. Fundamental problems are posed and several important results are stated when this set is compact. We then give results on the dynamical system which will ensure...
Stability and Hopf bifurcation analysis for a Lotka-Volterra predator-prey model with two delays
Changjin Xu, Maoxin Liao, Xiaofei He (2011)
International Journal of Applied Mathematics and Computer Science
In this paper, a two-species Lotka-Volterra predator-prey model with two delays is considered. By analyzing the associated characteristic transcendental equation, the linear stability of the positive equilibrium is investigated and Hopf bifurcation is demonstrated. Some explicit formulae for determining the stability and direction of Hopf bifurcation periodic solutions bifurcating from Hopf bifurcations are obtained by using normal form theory and center manifold theory. Some numerical simulations...
Stability and Hopf bifurcation in a haematopoietic stem cells model.
Talibi Alaoui, Hamad, Yafia, Radouane (2004)
Electronic Journal of Differential Equations (EJDE) [electronic only]
Stability and Non-Linear Approximation for y' (t) = - f(y(t-1)).
Klaus Doden (1980)
Manuscripta mathematica
Stability and saddle-point property for a linear autonomous functional parabolic equation
Jaroslav Milota (1986)
Commentationes Mathematicae Universitatis Carolinae
Stability and sliding modes for a class of nonlinear time delay systems
Vladimir B. Răsvan (2011)
Mathematica Bohemica
The following time delay system is considered, where may have discontinuities, in particular at the origin. The solution is defined using the “redefined nonlinearity” concept. For such systems sliding modes are discussed and a frequency domain inequality for global asymptotic stability is given.
Stability and stabilizability of a class of uncertain dynamical systems with delays
Mohammed Saadni, Driss Mehdi (2005)
International Journal of Applied Mathematics and Computer Science
This paper deals with a class of uncertain systems with time-varying delays and norm-bounded uncertainty. The stability and stabilizability of this class of systems are considered. Linear Matrix Inequalities (LMI) delay-dependent sufficient conditions for both stability and stabilizability and their robustness are established.
Stability and stabilizability of mixed retarded-neutral type systems
Rabah Rabah, Grigory Mikhailovitch Sklyar, Pavel Yurevitch Barkhayev (2012)
ESAIM: Control, Optimisation and Calculus of Variations
We analyze the stability and stabilizability properties of mixed retarded-neutral type systems when the neutral term may be singular. We consider an operator differential equation model of the system in a Hilbert space, and we are interested in the critical case when there is a sequence of eigenvalues with real parts converging to zero. In this case, the system cannot be exponentially stable, and we study conditions under which it will be strongly stable. The behavior of spectra of mixed retarded-neutral...
Stability and stabilizability of mixed retarded-neutral type systems∗
Rabah Rabah, Grigory Mikhailovitch Sklyar, Pavel Yurevitch Barkhayev (2012)
ESAIM: Control, Optimisation and Calculus of Variations
We analyze the stability and stabilizability properties of mixed retarded-neutral type systems when the neutral term may be singular. We consider an operator differential equation model of the system in a Hilbert space, and we are interested in the critical case when there is a sequence of eigenvalues with real parts converging to zero. In this case, the system cannot be exponentially stable, and we study conditions under which it will be strongly...
Stability and stabilizability of mixed retarded-neutral type systems∗
Rabah Rabah, Grigory Mikhailovitch Sklyar, Pavel Yurevitch Barkhayev (2012)
ESAIM: Control, Optimisation and Calculus of Variations
We analyze the stability and stabilizability properties of mixed retarded-neutral type systems when the neutral term may be singular. We consider an operator differential equation model of the system in a Hilbert space, and we are interested in the critical case when there is a sequence of eigenvalues with real parts converging to zero. In this case, the system cannot be exponentially stable, and we study conditions under which it will be strongly...
Stability criteria of linear neutral systems with distributed delays
Guang-Da Hu (2011)
Kybernetika
In this paper, stability of linear neutral systems with distributed delay is investigated. A bounded half circular region which includes all unstable characteristic roots, is obtained. Using the argument principle, stability criteria are derived which are necessary and sufficient conditions for asymptotic stability of the neutral systems. The stability criteria need only to evaluate the characteristic function on a straight segment on the imaginary axis and the argument on the boundary of a bounded...