Sufficient conditions for robust BIBO stabilization: Given by the gap metric

DOI10.1016/0167-6911(88)90111-9zbMath0651.93056OpenAlexW2125066231MaRDI QIDQ1106798

S. H. Smith

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)90111-9

zbMATH Keywords

gap metriccoprime fractionrobust bounded-input bounded-output stabilityunity feedback structure

Mathematics Subject Classification ID

Related Items (15)

Differential stability and robust control of nonlinear systems ⋮ Gap metric robustness for linear time-varying systems ⋮ On the computation of the gap metric for LTV systems ⋮ Causality in the frequency domain ⋮ The time-varying gap and coprime factor perturbations ⋮ Perturbations of closed-loop systems in robust feedback stabilization ⋮ On robustness in the gap metric and coprime factor uncertainty for LTV systems ⋮ Feedback stability under simultaneous gap metric uncertainties in plant and controller ⋮ Graphs of time varying linear systems and coprime factorizations ⋮ A representation and the norm of Toeplitz operators ⋮ The parallel projection operators of a nonlinear feedback system ⋮ Bibliography on robust control ⋮ Robust stabilization -- BIBO stability, distance notions and robustness optimization ⋮ A test for stability robustness of linear time-varying systems utilizing the linear time-invariant ν-gap metric ⋮ Graphs, causality, and stabilizability: Linear, shift-invariant systems on \({\mathcal L}_ 2[0,\infty\)]

Cites Work

• On the factorization of rational matrices depending on a parameter
• The graph metric for unstable plants and robustness estimates for feedback stability
• Graph topology and gap topology for unstable systems
• Simplifications and clarifications on the paper 'An algebra of transfer functions for distributed linear time-invariant systems'
• The gap metric: Robustness of stabilization of feedback systems
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