Practical stability of nonlinear differential equation with initial time difference

DOI10.1016/j.amc.2008.04.014zbMath1168.34341OpenAlexW2002839827WikidataQ115361764 ScholiaQ115361764MaRDI QIDQ2518702

Senlin Li, An Li, Xinyu Song

Publication date: 16 January 2009

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2008.04.014

zbMATH Keywords

Lyapunov functionspractical stabilityNonlinear differential equations

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Stability of solutions to ordinary differential equations (34D20) Asymptotic properties of solutions to ordinary differential equations (34D05)

Related Items (10)

Stability and boundedness of differential equations relative to initial time difference by employing vector Lyapunov functions ⋮ Exponentially practical stability of impulsive discrete time system with delay ⋮ Practical stability in terms of two measures for fractional order dynamic systems in Caputo's sense with initial time difference ⋮ Exponential and global stability of nonlinear dynamical systems relative to initial time difference ⋮ Fast smooth second-order sliding mode control for stochastic systems with enumerable coloured noises ⋮ Practical stability with respect to initial time difference for Caputo fractional differential equations ⋮ Stability of impulsive systems depending on a parameter ⋮ Study on the stability of nonlinear differential equations with initial time difference ⋮ On the rational stability of autonomous dynamical systems. Applications to control chained systems ⋮ Exponential convergence of nonlinear time-varying differential equations

Cites Work

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• Vector Lyapunov functions for practical stability of nonlinear impulsive functional differential equations
• Another approach to the theory of differential inequalities realtive to changes in the initial times
• Differential inequalities with initial time difference and applications
• Practical stability of impulsive control systems
• Practical stability of impulsive functional differential equations in terms of two measurements
• Perturbing Lyapunov functions and stability criteria for initial time difference.
• Strict practical stability of delay differential equation.

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