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Impulsive differential systems: The problem of stability and practical stability

Nonlinear Analysis: Theory, Methods & Applications, 2009
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Borysenko, S. D., Toscano, Speranza
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On practical stability

International Journal of Control, 1973
In this paper, a class of non-linear non-autonomous systems with multiple non-linearities is considered. Sufficient conditions are developed for a type of practical stability with specified settling time. The conditions are independent of the actual Form of the non-linear characteristics so that they can be interpreted as conditions for ‘absolute ...
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Practical analysis of the stability of TCP

Proceedings of the 2001 SBMO/IEEE MTT-S International Microwave and Optoelectronics Conference. (Cat. No.01TH8568), 2002
This paper discusses the stability of TCP. More precisely, the stationary behavior of the congestion window process is analyzed based on the measured real Internet traffic (bulk data transfer, FTP of large files). Appropriate algorithm approximating the actual congestion window is presented, and statistical methods to analyze the data are discussed in ...
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Eventual practical stability of impulsive differential equations with time delay in terms of two measurements

Journal of Computational and Applied Mathematics, 2005
In this paper we introduce a new stability—eventual practical stability for impulsive differential equations with time delay. By using Lyapunov functions and comparison principle, we will get some criteria of eventual practical stability, eventual ...
Yu Zhang, Jitao Sun
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Practical Aspects of System Stability

Transactions of the American Institute of Electrical Engineers, 1926
During the past few years there has been much discussion regarding the behavior of long transmission lines under transient conditions, such as flashovers, short circuits, arcs and grounds which would tend to make them unstable, but unfortunately this discussion has been largely theoretical due to the absence of any actual operating data upon which to ...
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Practical stability analysis for DNN observation

2008 47th IEEE Conference on Decision and Control, 2008
The most important fact for differential neural networks dynamics is related to its weights time evolution. This is a consequence for the higher nonlinear structure describing the matrix differential equations, which are associated with the adaptive capability for this kind of neural networks.
Isaac Chairez Oria, Alexander S. Poznyak, Tatyana Poznyak   +2 more
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On the practical stability for a class of switched system

2012 9th International Conference on Electrical Engineering, Computing Science and Automatic Control (CCE), 2012
This paper addresses a problem of robust control for a class of switched systems with time-delays. We deal with controllable nonlinear models that satisfy a quasi-Lipschitz condition and include bounded perturbations. The stabilization issue is carried out by two linear feedback controls: the static and the switching one.
Carlos Manuel Perez, Alexander S. Poznyak, Vadim Azhmyakov   +2 more
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Practical stabilization of integrator switched systems

Proceedings of the 2003 American Control Conference, 2003., 2004
In this paper, practical stabilization problems for integrator switched systems are studied. In such class of switched systems, no subsystem has an equilibrium. However, the system can still exhibit interesting behaviors around a given point under appropriate switching laws.
Xuping Xu, Panos J. Antsaklis
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Liapunov and Riccati equations for practical stability

2001 European Control Conference (ECC), 2001
In this note we use Liapunov and Riccati equations to derive bounds for the transient behaviour of a time-invariant linear system. A concept of "acceptable stability behaviour" is introduced and a sufficient condition for achieving it by time-varying linear state feedback is derived.
Diederich Hinrichsen, Elmar Plischke, Anthony J. Pritchard   +2 more
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Stability analysis of practical anisotropie swarms

2010 11th International Conference on Control Automation Robotics & Vision, 2010
This paper considers finite sense ability, finite motion ability and anisotropy into swarm system. We first construct an anisotropic model with a class of attraction and repulsions in terms of finite sense ability. Then we analyze their stability. It is shown that the individuals of the swarm model aggregate and eventually enter into a bounded region ...
Liangshun Wang, Huajing Fang
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