Stability of impulsively perturbed systems

DOI10.1017/S0004972700023054zbMath0341.34035MaRDI QIDQ4108625

M. Rama Mohana Rao, V. Sree Hari Rao

Publication date: 1977

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Mathematics Subject Classification ID

Stability of solutions to ordinary differential equations (34D20) Perturbations of ordinary differential equations (34D10)

Related Items (27)

A projection-iterative method for finding periodic solutions of nonlinear systems of difference-differential equations with impulses ⋮ Strong stability of impulsive systems ⋮ Asymptotic behavior of impulsive differential equations ⋮ Stability of the solutions of singularly perturbed systems with impulse effect ⋮ Periodic solutions of quasilinear non‐autonomous systems with impulses ⋮ About a generalization of Bellman-Bihari type inequalities for discontinuous functions and their applications ⋮ Stability of sets for impulsive systems ⋮ Uniform stability with respect to the impulse hypersurfaces of the solutions of differential equations with impulses ⋮ INTEGRAL SURFACES FOR HYPERBOLIC ORDINARY DIFFERENTIAL EQUATIONS WITH IMPULSES ⋮ Application of lyapunov's direct method to the investigation of the global stability of the solutions of systems with impulse effect ⋮ STABILITY OF THE SOLUTIONS OF SINGULARLY PERTURBED SYSTEMS WITH IMPULSE EFFECT ⋮ Global stability of sets for impulsive differential systems by Lyapunov's direct method ⋮ Dependence upon initial conditions and parameter of solutions of impulsive differential equations with variable structure ⋮ Almost periodic solutions for systems of impulsive integro-differential equations ⋮ Uniform stability with respect to the impulsive perturbations of the solutions of impulsive differential equations ⋮ ON THE ASYMPTOTIC STABILITY OF SYSTEMS WITH IMPULSES BY THE DIRECT METHOD OF LYAPUNOV ⋮ Investigations of the properties motion for essential nonlinear systems perturbed by impulses on some hypersurfaces ⋮ Integro-sum inequalities and motion stability of systems with impulse perturbations ⋮ On the global stability of sets for impulsive differential systems by Lyapunov's direct method ⋮ Continuous dependence on the initial condition and a parameter of the solutions of a class of differential equations with variable structure and impulses ⋮ Asymptotically self invariant sets and stability of measure differential equations ⋮ Impulsive differential equation model in methanol poisoning detoxification. Efficacy of activated charcoal antidote in combating methanol poisoning ⋮ Exponential stability of the solutions of singularly perturbed systems with impulse effect ⋮ Global stability of sets for systems with impulses ⋮ Uniform asymptotic stability of impulsively perturbed nonlinear differential equations ⋮ On the asymptotic stability of systems with impulses by the direct method of Lyapunov ⋮ Second method of Lyapunov and comparison principle for systems with impulse effect

Cites Work

• Contributions to stability theory
• Lyapunov theory and perturbation of stable and asymptotically stable systems
• Perturbing uniform asymptotically stable nonlinear systems
• Perturbation theorems for ordinary differential equations
• ON THE ZEROS OF THE RIEMANN ZETA FUNCTION
• Unnamed Item
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