A necessary and sufficient condition for robust BIBO stability

DOI10.1016/0167-6911(88)90070-9zbMath0654.93057OpenAlexW1981371578MaRDI QIDQ1108992

Yoshito Ohta, Munther A. Dahleh

Publication date: 1988

Published in: Systems \& Control Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-6911(88)90070-9

zbMATH Keywords

small gain theoremrobust BIBO stabilitytime varying perturbations

Mathematics Subject Classification ID

Sensitivity (robustness) (93B35) Input-output approaches in control theory (93D25) Linear systems in control theory (93C05) Perturbation theory of linear operators (47A55) Perturbations of ordinary differential equations (34D10)

Related Items (12)

Unnamed Item ⋮ Absolute stability of systems under block diagonal memoryless uncertainties ⋮ On \(\ell_{\infty}\) robust stability and performance with \(\ell_{2}\) and \(\ell_{\infty}\) perturbations ⋮ Performance analysis and controller synthesis for nonlinear systems with stochastic uncertainty constraints ⋮ On stability analysis methods for large-scale discrete-time systems ⋮ Analysis of robust performance with multiple objectives ⋮ On robust stability with structured time-invariant perturbations ⋮ Robust disturbance rejection in \(\ell ^ 1\) optimal control systems ⋮ Controller design for plants with structured uncertainty ⋮ Fading-memory feedback systems and robust stability ⋮ Bibliography on robust control ⋮ Analysis and design for robust performance with structured uncertainty

Cites Work

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• Nonlinear time-varying controllers for robust stabilization
• <tex>l^{1}</tex>-optimal feedback controllers for MIMO discrete-time systems
• Optimal rejection of persistent disturbances, robust stability, and mixed sensitivity minimization
• Multivariable feedback design: Concepts for a classical/modern synthesis

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