Lyapunov stability of quasilinear implicit dynamic equations on time scales

DOI10.1155/2011/979705zbMath1227.34097OpenAlexW2010180989WikidataQ59267107 ScholiaQ59267107MaRDI QIDQ535563

Nguyen Huu Du, Nguyen Chi Liem, Chuan Jen Chyan, Shang-Wen Lin

Publication date: 13 May 2011

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

Full work available at URL: https://eudml.org/doc/223397

zbMATH Keywords

Lyapunov functionexistence of solutions

Mathematics Subject Classification ID

Implicit ordinary differential equations, differential-algebraic equations (34A09) Stability of solutions to ordinary differential equations (34D20) Dynamic equations on time scales or measure chains (34N05)

Related Items

On initial and boundary value problems for implicit dynamic equations on time scales ⋮ Robust fault reconstruction for a class of non-infinitely observable descriptor systems using two sliding mode observers in cascade

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Analysis on measure chains - a unified approach to continuous and discrete calculus
• Stability radii for linear time-varying differential-algebraic equations with respect to dynamic perturbations
• Stability radii for positive linear time-invariant systems on time scales
• Singular control systems
• Criteria for the trivial solution of differential algebraic equations with small nonlinearities to be asymptotically stable
• Exponential dichotomies of linear dynamic equations on measure chains under slowly varying coefficients.
• Chain rule and invariance principle on measure chains
• A spectral characterization of exponential stability for linear time-invariant systems on time scales
• Lyapunov functions for linear nonautonomous dynamical equations on time scales
• Trench's perturbation theorem for dynamic equations
• Linear perturbations of a nonoscillatory second-order dynamic equation
• On Linear Implicit Non-autonomous Systems of Difference Equations