نتایج جستجو برای: asymptotically stable

تعداد نتایج: 280055  

Journal: :Mathematical biosciences and engineering : MBE 2008
Gergely Röst Jianhong Wu

A new SEIR model with distributed infinite delay is derived when the infectivity depends on the age of infection. The basic reproduction number R0, which is a threshold quantity for the stability of equilibria, is calculated. If R0 < 1, then the disease-free equilibrium is globally asymptotically stable and this is the only equilibrium. On the contrary, if R0 > 1, then an endemic equilibrium ap...

Journal: :SIAM J. Control and Optimization 1999
Pascal Morin Jean-Baptiste Pomet Claude Samson

A constructive method for time-varying stabilization of smooth driftless controllable systems is developed. It provides time-varying homogeneous feedback laws that are continuous and smooth away from the origin. These feedbacks make the closed-loop system globally exponentially asymptotically stable if the control system is homogeneous with respect to a family of dilations and, using local homo...

Journal: :Dynamic Games and Applications 2016
Simon M. Huttegger Kevin J. S. Zollman

Recent work on costly signaling games has identified new Nash equilibria in addition to the standard costly signaling equilibrium as a possible explanation for signaling behavior. These so-called hybrid equilibria are Liapunov stable, but not asymptotically stable for the replicator dynamics. Since some eigenvalues of the hybrid equilibria have zero real part, this result is not structurally st...

Journal: :Journal of theoretical biology 2004
Jan Alboszta Jacek Miekisz

We construct two models of discrete-time replicator dynamics with time delay. In the social-type model, players imitate opponents taking into account average payoffs of games played some units of time ago. In the biological-type model, new players are born from parents who played in the past. We consider two-player games with two strategies and a unique mixed evolutionarily stable strategy. We ...

2004
Guangming Xie Long Wang

In this paper, the problem of stability analysis and stabilization synthesis of switched linear systems with time delay is studied in continuous-time domain. First, two sufficient conditions are established under which the system is asymptotically stable under arbitrary switching signal, and, if a set of linear matrix inequalities is solvable, a state feedback controller can be designed to stab...

Journal: :SIAM J. Control and Optimization 2011
Moussa Balde Philippe Jouan

The paper is concerned with asymptotic stability properties of linear switched systems. Under the hypothesis that all the subsystems share a non strict quadratic Lyapunov function, we provide a large class of switching signals for which a large class of switched systems are asymptotically stable. For this purpose we define what we call non chaotic inputs, which generalize the different notions ...

2015
YUAN LOU

The asymptotic behavior of the principal eigenvalue for general linear cooperative elliptic systems with small diffusion rates is determined. As an application, we show that if a cooperative system of ordinary differential equations has a unique positive equilibrium which is globally asymptotically stable, then the corresponding reaction-diffusion system with either the Neumann boundary conditi...

2014
Chenquan Gan Xiaofan Yang Wanping Liu Qingyi Zhu Xulong Zhang Yanbing Liu

This paper examines the propagation behavior of computer virus under human intervention. A dynamical model describing the spread of computer virus, under which a susceptible computer can become recovered directly and an infected computer can become susceptible directly, is proposed. Through a qualitative analysis of this model, it is found that the virus-free equilibrium is globally asymptotica...

2008
Alessandro N. Vargas

Stability results for time-varying systems with output averaged using the norm are established. The discrete-time linear system is considered under a bound on time-average on the mean-value of the output norm. It is shown that under controllability, observability and a uniform bound on the matrix norm, the time-varying system is asymptotically and uniformly stable. If, in addition, the solution...

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