Minimal realizations under controllability

DOI10.1016/0167-6911(91)90018-AzbMath0729.93020OpenAlexW2137914645MaRDI QIDQ807531

Victor Ayala Bravo, Luiz A. B. San Martin

Publication date: 1991

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

Full work available at URL: https://doi.org/10.1016/0167-6911(91)90018-a

zbMATH Keywords

discrete equivalence relationminimal realizations of controllable systems

Mathematics Subject Classification ID

Minimal systems representations (93B20) Classical propositional logic (03B05)

Related Items (1)

Geometrical and topological methods in optimal control theory

Cites Work

• Nonlinear observability and duality
• Controllability on principal fibre bundles with compact structure group
• Existence and uniqueness of minimal realizations in the \(C^\infty\) case
• A generalization of the closed subgroup theorem to quotients of arbitrary manifolds
• Existence and Uniqueness of Minimal Realizations for a Class of $C^\infty $ Systems
• Accessible Sets, Orbits, and Foliations with Singularities
• Existence and uniqueness of minimal realizations of nonlinear systems
• Nonlinear controllability and observability
• Orbits of Families of Vector Fields and Integrability of Distributions

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