Stability Criteria for Linear Hamiltonian Systems Under Impulsive Perturbations
Zeynep Kayar, Agacik Zafer
TL;DR
This paper develops new stability criteria for linear periodic Hamiltonian systems with impulsive effects, using Lyapunov inequalities and disconjugacy criteria, improving upon existing results in the literature.
Contribution
It introduces novel stability conditions specifically tailored for impulsive Hamiltonian systems, enhancing previous theoretical frameworks.
Findings
New Lyapunov type inequality established
Disconjugacy criterion for impulsive systems derived
Improved stability criteria compared to existing literature
Abstract
Stability criteria are given for linear periodic Hamiltonian systems with impulse effect. A Lyapunov type inequality and a disconjugacy criterion are also established. The results improve the ones in the literature for such systems.
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Taxonomy
TopicsSpectral Theory in Mathematical Physics · Differential Equations and Numerical Methods · Quantum chaos and dynamical systems