Stability Criteria for Linear Hamiltonian Systems Under Impulsive Perturbations

2011/01/16 by Zeynep Kayar, Kayar, Zeynep, A. Zafer +2
Mathematics · Physics and Astronomy · #34D20 #Classical Analysis and ODEs (math.CA) #Differential Equations and Numerical Methods #FOS: Mathematics #Quantum chaos and dynamical systems #Spectral Theory in Mathematical Physics #math.CA #msc:34D20

paper · pdf · doi:10.48550/arxiv.1101.3094

arxiv created 2011/01/16 · openalex publication_date 2011/01/16 · arxiv updated 2011/01/18 · openalex created_date 2025/10/24 · openalex updated_date 2026/07/28

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.

Related

• Asymptotic stability conditions for linear coupled impulsive systems with time-invariant subsystems
• The stability of equilibrium solutions of periodic Hamiltonian systems in the case of degeneracy
• Bifurcations of planar Hamiltonian systems with impulsive perturbation
• Stability, Resonance and Lyapunov Inequalities for Periodic Conservative Systems
• Linear Hamilton Systems without Regular Properties. Solving a Problem Stated by M.G. Krein