Stability criteria for linear Hamiltonian systems under impulsive perturbations

Download

index.pdf

Date

2014-03-01

Author

Kayar, Z.
Zafer, Ağacık

Metadata

Show full item record

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Item Usage Stats

268
views

72
downloads

Stability criteria are given for planar linear periodic Hamiltonian systems with impulse effect by making use of a Lyapunov type inequality. A disconjugacy criterion is also established. The results improve the related ones in the literature for such systems.

Subject Keywords

Stability, Hamiltonian, Impulse, Periodic system, Lyapunov type inequality

URI

https://hdl.handle.net/11511/58045

Journal

APPLIED MATHEMATICS AND COMPUTATION

DOI

https://doi.org/10.1016/j.amc.2013.12.128

Collections

Department of Mathematics, Article

Suggestions

OpenMETU
Core

Stability criteria for linear periodic impulsive Hamiltonian systems Guseinov, G. Sh.; Zafer, Ağacık (2007-11-15) In this paper we obtain stability criteria for linear periodic impulsive Hamiltonian systems. A Lyapunov type inequality is established. Our results improve also the ones previously obtained for systems without impulse effect. (c) 2007 Elsevier Inc. All rights reserved.
Discrete linear Hamiltonian systems: Lyapunov type inequalities, stability and disconjugacy criteria Zafer, Ağacık (2012-12-15) In this paper, we first establish new Lyapunov type inequalities for discrete planar linear Hamiltonian systems. Next, by making use of the inequalities, we derive stability and disconjugacy criteria. Stability criteria are obtained with the help of the Floquet theory, so the system is assumed to be periodic in that case.
On periodic solutions of linear impulsive delay differential systems Akhmet, Marat; Alzabut, J.O.; Zafer, Ağacık (2008-10-01) A necessary and sufficient condition is established for the existence of periodic solutions of linear impulsive delay differential systems. Copyright © 2008 Watam Press.
On chaotic synchronization via impulsive control and piecewise constant arguments Mohamad S, Alwan; Xınzhı, Lıu; Akhmet, Marat (2015-01-01) This paper is concerned with a system of differential equations with continuous and piecewise constants arguments of a delay type. An application to chaotic systems is presented and the synchronization problem is established, where the output of the sender system, evaluated at the piecewise constant arguments, is transmitted to the receiver system. A global synchronization is achieved via impulsive effects, which are evaluated at the discrete arguments. The methodology of Lyapunov function together with lin...
Stability criterion for second order linear impulsive differential equations with periodic coefficients Guseinov, G. Sh.; Zafer, Ağacık (Wiley, 2008-01-01) In this paper we obtain instability and stability criteria for second order linear impulsive differential equations with periodic coefficients. Further, a Lyapunov type inequality is also established. (C) 2008 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim.

Citation Formats

Z. Kayar and A. Zafer, “Stability criteria for linear Hamiltonian systems under impulsive perturbations,” APPLIED MATHEMATICS AND COMPUTATION, pp. 680–686, 2014, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/58045.