Stabilization and Practical Asymptotic Stability of Abstract Differential Equations

DOI10.1080/01630563.2016.1211681zbMath1359.34060OpenAlexW2491059672MaRDI QIDQ2964187

Hanen Damak, Mohamed Ali Hammami

Publication date: 23 February 2017

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01630563.2016.1211681

zbMATH Keywords

controllabilitystabilizationLyapunov functionsRiccati equationpractical stabilityabstract differential equations

Mathematics Subject Classification ID

Semigroups of nonlinear operators (47H20) Nonlinear differential equations in abstract spaces (34G20) Stability of solutions to ordinary differential equations (34D20) Stabilization of solutions to ordinary differential equations (34H15)

Related Items (11)

Stability analysis for non-autonomous semilinear evolution equations in Hilbert spaces: A practical approach ⋮ On the Practical Compensator Design of Time-Varying Perturbed Systems in Hilbert Spaces ⋮ Stabilization of non-autonomous infinite-dimensional systems depending on a parameter ⋮ Observers based control for stabilization of non-autonomous evolution equations in Banach spaces ⋮ Estimates of exponential convergence for solutions of stochastic nonlinear systems ⋮ Compensator design via the separation principle for a class of semilinear evolution equations ⋮ Weighted input-to-output practical stability of non-autonomous infinite-dimensional systems with disturbances ⋮ B-essential spectra of \(2 \times 2\) block operator matrix pencils ⋮ On uniform \(h\)-stability of non-autonomous evolution equations in Banach spaces ⋮ Asymptotic stability of a perturbed abstract differential equations in Banach spaces ⋮ Compensator design via the separation principle for a class of nonlinear uncertain evolution equations on a Hilbert space

Cites Work

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• Semigroups of linear operators and applications to partial differential equations
• Functional analysis in modern applied mathematics
• On the global uniform asymptotic stability of time-varying systems
• Partial asymptotic stability of abstract differential equations
• New stabilization criteria for linear time-varying systems with state delay and norm-bounded uncertainties
• New characterization of controllability via stabilizability and Riccati equation for LTV systems
• Stabilization of Linear Systems

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