Stability and boundedness of nonlinear impulsive systems in terms of two measures via perturbing Lyapunov functions

DOI10.1016/j.jmaa.2010.09.022zbMath1216.34011OpenAlexW1967785408MaRDI QIDQ616711

An Li, Xinyu Song

Publication date: 12 January 2011

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

Full work available at URL: https://doi.org/10.1016/j.jmaa.2010.09.022

zbMATH Keywords

stabilityLyapunov functionspractical stabilitytwo measuresnonlinear impulsive systems

Mathematics Subject Classification ID

Ordinary differential equations with impulses (34A37) Stability of solutions to ordinary differential equations (34D20) Growth and boundedness of solutions to ordinary differential equations (34C11)

Related Items (6)

Stability in terms of two measures for nonlinear impulsive systems on time scales ⋮ Boundedness of stochastic delay differential systems with impulsive control and impulsive disturbance ⋮ Stability of impulsive stochastic differential equations in terms of two measures via perturbing Lyapunov functions ⋮ Analytic and numerical exponential asymptotic stability of nonlinear impulsive differential equations ⋮ Strong stability of an optimal control hybrid system in fed-batch fermentation ⋮ Algebraic conditions on the controllability for a type of discrete‐continuous systems with delays

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Nonlinear impulsive system of fed-batch culture in fermentative production and its properties
• Vector Lyapunov functions for practical stability of nonlinear impulsive functional differential equations
• \(\phi_{0}\)-stability of an impulsive system obtained from perturbing Lyapunov functions
• Stability of impulsive system by perturbing Lyapunov functions
• Boundedness for impulsive delay differential equations and applications to population growth models.
• Nonlinear impulsive systems on infinite dimensional spaces
• On the general problem of stability for impulsive differential equations.
• On cone perturbing Lyapunov function for impulsive differential systems
• Practical stability of impulsive functional differential equations in terms of two measurements
• Cone-valued Lyapunov functions and stability of impulsive control systems
• On perturbing Lyapunov functional
• Composite boundedness and stability results by perturbing lyapunov functions
• Perturbing Lyapunov functions and stability criteria for initial time difference.

This page was built for publication: Stability and boundedness of nonlinear impulsive systems in terms of two measures via perturbing Lyapunov functions