Quasi-diagonalization of linear impulsive systems and applications

DOI10.1006/jmaa.1997.5260zbMath0872.34002OpenAlexW2076264884MaRDI QIDQ1359576

Manuel Pinto, Naulin, Raúl

Publication date: 20 October 1997

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jmaa.1997.5260

zbMATH Keywords

transformationimpulse matricesimpulsive linear systemperiodic solutions of impulsive systemsquasi-diagonalizationstability of a singularly perturbed linear impulsive system

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Ordinary differential equations with impulses (34A37)

Related Items (4)

Splitting of linear systems with impulses ⋮ Asymptotic behavior of differential systems with impulse effect ⋮ Sufficient conditions for asymptotic stability of linear autonomous impulsive systems ⋮ Asymptotic theory for bi-dimensional linear impulsive differential systems, nonelliptic case

Cites Work

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• Singular perturbation methods for ordinary differential equations
• Dichotomies in stability theory
• Ghizzetti's theorem for piecewise continuous solutions
• Conditional stability for piecewise continuous solutions of differential equations
• Asymptotic behavior of impulsive differential equations
• Differentiability of solutions of systems with impulse effect with respect to initial data and parameter
• Dichotomies for systems with discontinuous coefficients
• L_p-equivalence of a linear and a nonlinear impulsive differential equation in a Banach space

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