Vector Lyapunov functions in impulsive variable-time differential systems

DOI10.1016/S0362-546X(96)00247-7zbMath0889.34013WikidataQ127088872 ScholiaQ127088872MaRDI QIDQ4375925

Saroop K. Kaul

Publication date: 29 May 1998

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

zbMATH Keywords

comparison theoremmaximal solutionvector Lyapunov functionsimpulsive ordinary differential equations

Mathematics Subject Classification ID

Ordinary differential equations with impulses (34A37) Stability of solutions to ordinary differential equations (34D20)

Related Items (6)

On the practical stability with respect to \(h\)-manifolds of hybrid Kolmogorov systems with variable impulsive perturbations ⋮ New results on pulse phenomena for impulsive differential systems with variable moments ⋮ On retention of impulsive system stability under perturbations ⋮ Structure of the solution set to fractional differential inclusions with impulses at variable times on compact interval ⋮ A new comparison principle for impulsive differential systems with variable impulsive perturbations and stability theory ⋮ General comparison principle for impulsive variable time differential equations with application

Cites Work

• Comparison principle for impulsive differential equations with variable times and stability theory
• Extremal solutions, comparison principle and stability criteria for impulsive differential equations with variable times
• Higher derivatives of Lyapunov functions and cone-valued Lyapunov functions
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