An LMI approach to stability for linear time-varying system with nonlinear perturbation on time scales

DOI10.1155/2011/860506zbMath1217.93134OpenAlexW2064176311WikidataQ58654501 ScholiaQ58654501MaRDI QIDQ554955

Kanit Mukdasai, Niamsup, Piyapong

Publication date: 22 July 2011

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2011/860506

zbMATH Keywords

Lyapunov stabilitytime scaleslinear time-varying systemnonlinear perturbation

Mathematics Subject Classification ID

Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05) Linear systems in control theory (93C05) Time-scale analysis and singular perturbations in control/observation systems (93C70) Dynamic equations on time scales or measure chains (34N05)

Related Items (5)

Variationally stable dynamic systems on time scales ⋮ Stability of abstract dynamic equations on time scales by Lyapunov's second method ⋮ Sufficient conditions for uniform exponential stability and \(h\)-stability of some classes of dynamic equations on arbitrary time scales ⋮ On Practical Stability of Time Scale Perturbed Systems ⋮ Time scale state feedback h-stabilisation of linear systems under Lipschitz-type disturbances

Cites Work

• Asymptotic behavior of solutions of dynamic equations
• Analysis on measure chains - a unified approach to continuous and discrete calculus
• \(h\)-stability for linear dynamic equations on time scales
• Feedforward versus recurrent neural networks for forecasting monthly Japanese yen exchange rates
• Mimetic methods on measure chains.
• Stability for time varying linear dynamic systems on time scales
• \Psi-uniformly stability for time varying linear dynamic systems on time scales

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