All a b c d e f g h i j k l m n o p q r s t u v w x y z Other

Previous Page 11 Next

Displaying 201 – 220 of 419

Showing per page

Stability analysis for neutral stochastic systems with mixed delays

Huabin Chen, Peng Hu (2013)

Kybernetika

This paper is concerned with the problem of the exponential stability in mean square moment for neutral stochastic systems with mixed delays, which are composed of the retarded one and the neutral one, respectively. Based on an integral inequality, a delay-dependent stability criterion for such systems is obtained in terms of linear matrix inequality (LMI) to ensure a large upper bounds of the neutral delay and the retarded delay by dividing the neutral delay interval into multiple segments. A new...

Stability analysis of a three-dimensional energy demand-supply system under delayed feedback control

Kun-Yi Yang, Ling-Li Zhang, Jie Zhang (2015)

Kybernetika

This paper considers a three-dimensional energy demand-supply system which typically demonstrates the relationship between the amount of energy supply and that of energy demand for the two regions in China. A delayed feedback controller is proposed to stabilize the system which was originally unstable even under some other controllers. The stability properties of the equilibrium points are subsequently analyzed and it is found that the Hopf bifurcation appears under some conditions. By using the...

Stability Analysis of Cell Dynamics in Leukemia

H. Özbay, C. Bonnet, H. Benjelloun, J. Clairambault (2012)

Mathematical Modelling of Natural Phenomena

In order to better understand the dynamics of acute leukemia, and in particular to find theoretical conditions for the efficient delivery of drugs in acute myeloblastic leukemia, we investigate stability of a system modeling its cell dynamics. The overall system is a cascade connection of sub-systems consisting of distributed delays and static nonlinear feedbacks. Earlier results on local asymptotic stability are improved by the analysis of the linearized...

Stability analysis of high-order Hopfield-type neural networks based on a new impulsive differential inequality

Yang Liu, Rongjiang Yang, Jianquan Lu, Bo Wu, Xiushan Cai (2013)

International Journal of Applied Mathematics and Computer Science

This paper is devoted to studying the globally exponential stability of impulsive high-order Hopfield-type neural networks with time-varying delays. In the process of impulsive effect, nonlinear and delayed factors are simultaneously considered. A new impulsive differential inequality is derived based on the Lyapunov-Razumikhin method and some novel stability criteria are then given. These conditions, ensuring the global exponential stability, are simpler and less conservative than some of the previous...

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 boundedness of controllable continuous flows

František Tumajer (1988)

Aplikace matematiky

In the paper the concept of a controllable continuous flow in a metric space is introduced as a generalization of a controllable system of differential equations in a Banach space, and various kinds of stability and of boundedness of this flow are defined. Theorems stating necessary and sufficient conditions for particular kinds of stability and boundedness are formulated in terms of Ljapunov functions.

Stability and sliding modes for a class of nonlinear time delay systems

Vladimir B. Răsvan (2011)

Mathematica Bohemica

The following time delay system x ˙ = A x ( t ) + ∑ 1 r b q i * x ( t - τ i ) - b ϕ ( c * x ( t ) ) is considered, where ϕ : ℝ → ℝ 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.

Currently displaying 201 – 220 of 419