Practical stability in terms of two measures with initial time difference

DOI10.1016/j.na.2008.11.039zbMath1238.93073OpenAlexW2021984905MaRDI QIDQ419826

Coşkun Yakar, Michael D. Shaw

Publication date: 20 May 2012

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2008.11.039

zbMATH Keywords

Lyapunov's second methodLyapunov-like functionsinitial time differenceperturbed differential systemspractical stability in terms of two measuresvariational comparison result

Mathematics Subject Classification ID

Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05)

Related Items (14)

Practical stability, boundedness criteria and Lagrange stability of fuzzy differential systems ⋮ \(h\)-stability for differential systems relative to initial time difference ⋮ Boundedness and Lagrange stability of fractional order perturbed system related to unperturbed systems with initial time difference in Caputo's sense ⋮ Practical stability analysis of perturbed fuzzy control system related to unperturbed fuzzy control system ⋮ Practical stability in terms of two measures for fractional order dynamic systems in Caputo's sense with initial time difference ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Monotone-iterative method for the initial value problem with initial time difference for differential equations with ``maxima ⋮ Nonlinear variation of parameters formula for impulsive differential equations with initial time difference and application ⋮ Some results on the practical \(\alpha\)-exponential stability of nonlinear systems ⋮ Stability of perturbed set differential equations involving causal operators in regard to their unperturbed ones considering difference in initial conditions ⋮ Fractional differential equations in terms of comparison results and Lyapunov stability with initial time difference ⋮ Practical stability with respect to initial time difference for Caputo fractional differential equations ⋮ Exponential convergence of nonlinear time-varying differential equations

Cites Work

• Differential inequalities with initial time difference and applications
• Method of Variation of Parameters for Dynamic Systems
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