Stability under persistent disturbances for systems with impulse effect

DOI10.1016/0022-247X(85)90168-4zbMath0579.34035OpenAlexW2029623196MaRDI QIDQ1067076

Pavel S. Simeonov, D. D. Bainov

Publication date: 1985

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

Full work available at URL: https://doi.org/10.1016/0022-247x(85)90168-4

zbMATH Keywords

differential equations with impulse effectpersistent disturbancesGronwall-Belmann inequality

Mathematics Subject Classification ID

Perturbations of ordinary differential equations (34D10)

Related Items (12)

Exponential stability of the solutions of the initial-value problem for systems with impulse effect ⋮ Stability of the general exponent of nonlinear impulsive differential equations in a Banach space ⋮ Characteristic exponents of impulsive differential equations in a Banach space ⋮ Convergence to a constant of the solutions of differential equations with impulse effect ⋮ A projection-iterative method for solving the periodic problem for integrodifferential equations with impulse effect ⋮ Stability of sets for impulsive systems ⋮ Properties of the \(L_ p\)-solutions of linear impulsive equations in a Banach space ⋮ Properties of the \(L_ p\)-solutions of linear impulsive equations in a Banach space ⋮ Differentiability of solutions of systems with impulse effect with respect to initial data and parameter ⋮ Exponential stability of the solutions of singularly perturbed systems with impulse effect ⋮ Asymptotic behavior of solutions of impulsive integrodifferential systems ⋮ Orbital stability of the periodic solutions of autonomous systems with impulse effect

Cites Work

• Stability theory by Liapunov's direct method
• Unnamed Item

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