Topology of the set of asymptotically stable minimal systems

DOI10.1080/00207178708933897zbMath0634.93016OpenAlexW2094012170MaRDI QIDQ3773757

Raimund J. Ober

Publication date: 1987

Published in: International Journal of Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207178708933897

zbMATH Keywords

Cauchy indexcanonical formtopology of minimal systems

Mathematics Subject Classification ID

Linear systems in control theory (93C05) Canonical structure (93B10) Asymptotic stability in control theory (93D20) Minimal systems representations (93B20)

Related Items (7)

Balanced canonical forms for minimal systems: A normalized coprime factor approach ⋮ A global parametrization of asymptotically stable linear systems ⋮ Connectivity Properties of the Set of Stabilizing Static Decentralized Controllers ⋮ On the differentiable manifold of fixed order stable linear systems ⋮ A cell decomposition of the space of real Hankel matrices of rank \(\leq n\) and some applications ⋮ Continuity properties of balanced realizations ⋮ Comparison of H_∞and state-space induced quotient topologies on stable minimal systems

Cites Work

• Principal component analysis in linear systems: Controllability, observability, and model reduction
• Some geometric questions in the theory of linear systems
• On the Cauchy index of linear systems

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