Bulletin of the Australian Mathematical Society · 1977 · 40 citations · 6 references
Natural SciencesMathematicsDifferential EquationsDynamical SystemsContinuous Dynamical SystemsContinuous SystemsIntegral EquationsPerturbation TheoryStabilityStability TheoryAsymptotic StabilityImpulsive SystemsIntegral StabilityOrdinary Differential Equation SystemsStability Of Continuous SystemsStability Under Perturbations
Until recently most authors have devoted their research to the theory of perturbed systems under continuous perturbations. In this paper, Liapunov's second method is employed to investigate sufficient conditions for integral and integral asymptotic stability of ordinary differential systems with respect to impulsive perturbations.
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Contributions to Stability Theory
J. L. Massera · Annals of Mathematics · 1956 · 478 citations
Introduction to Measure and Integration.
E. H. Crisler, Melanie Munroe · American Mathematical Monthly · 1953 · 293 citations