Strict stability criteria for impulsive functional differential systems.
Liu, Kaien, Yang, Guowei (2008)
Journal of Inequalities and Applications [electronic only]
Similarity:
Displaying similar documents to “Stability processes of moving invariant manifolds in uncertain impulsive differential-difference equations”
Strict stability criteria for impulsive functional differential systems.
On Stability in Impulsive Dynamical Systems
Krzysztof Ciesielski (2004)
Bulletin of the Polish Academy of Sciences. Mathematics
Similarity:
Several results on stability in impulsive dynamical systems are proved. The first main result gives equivalent conditions for stability of a compact set. In particular, a generalization of Ura's theorem to the case of impulsive systems is shown. The second main theorem says that under some additional assumptions every component of a stable set is stable. Also, several examples indicating possible complicated phenomena in impulsive systems are presented.
Quasilinearization for the periodic boundary value problem for systems of impulsive differential equations.
Hristova, S.G., Vatsala, A.S. (2006)
Journal of Applied Mathematics and Stochastic Analysis
Similarity:
Global stability of sets for impulsive differential-difference equations by Lyapunov's direct method
Drumi Dimitrov Bajnov, Ivanka M. Stamova (1999)
Acta Mathematica et Informatica Universitatis Ostraviensis
Similarity:
Converse theorem for practical stability of nonlinear impulsive systems and applications
Boulbaba Ghanmi, Mohsen Dlala, Mohamed Ali Hammami (2018)
Kybernetika
Similarity:
The Lyapunov's second method is one of the most famous techniques for studying the stability properties of dynamic systems. This technique uses an auxiliary function, called Lyapunov function, which checks the stability properties of a specific system without the need to generate system solutions. An important question is about the reversibility or converse of Lyapunov's second method; i. e., given a specific stability property does there exist an appropriate Lyapunov function? The main...
Some features of uncontinuable solutions of impulsive dynamical systems.
H. D. Dimov, S. I. Nenov (1996)
Extracta Mathematicae
Similarity:
Stability and attractivity of solutions of differential equations with impulses at fixed times.
Sivasundaram, S., Vassilyev, S. (2000)
Journal of Applied Mathematics and Stochastic Analysis
Similarity:
On the stability of solutions of impulsive nonlinear parabolic equations
Drumi Bainov, Emil Minchev (1999)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
Similarity:
On Semicontinuity in Impulsive Dynamical Systems
Krzysztof Ciesielski (2004)
Bulletin of the Polish Academy of Sciences. Mathematics
Similarity:
In the important paper on impulsive systems [K1] several notions are introduced and several properties of these systems are shown. In particular, the function ϕ which describes "the time of reaching impulse points" is considered; this function has many important applications. In [K1] the continuity of this function is investigated. However, contrary to the theorem stated there, the function ϕ need not be continuous under the assumptions given in the theorem. Suitable examples are shown...