Variationally stable difference equations

DOI10.1016/S0362-546X(96)00111-3zbMath0889.39004OpenAlexW2067338082MaRDI QIDQ4374952

Manuel Pinto, Rigoberto Medina

Publication date: 26 January 1998

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

Full work available at URL: https://doi.org/10.1016/s0362-546x(96)00111-3

zbMATH Keywords

exponential stabilitynonlinear difference systemsh-stabilityh-systems

Mathematics Subject Classification ID

Stability theory for difference equations (39A30)

Related Items (7)

Variationally stable dynamic systems on time scales ⋮ \(h\)-stability of linear matrix differential systems ⋮ A generalization of practical stability of nonlinear impulsive systems ⋮ Variationally stable difference systems ⋮ Sufficient conditions for uniform exponential stability and \(h\)-stability of some classes of dynamic equations on arbitrary time scales ⋮ Variationally stable difference systems by \(n_\infty\)-similarity ⋮ Time scale state feedback h-stabilisation of linear systems under Lipschitz-type disturbances

Cites Work

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• Lipschitz stability of nonlinear systems of differential equations
• Theory of difference equations: Numerical methods and applications
• Perturbations of nonlinear systems of differential equations. III
• The asymptotic nature of solutions of linear systems of differential equations
• PERTURBATIONS OF ASYMPTOTICALLY STABLE DIFFERENTIAL SYSTEMS
• Asymptotic Representation of Solutions of Perturbed Systems of Linear Difference Equations

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