Invariants for feedback equivalence and Cauchy characteristic multifoliations of nonlinear control systems
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Publication:1104288
DOI10.1007/BF00047284zbMath0646.93030MaRDI QIDQ1104288
Publication date: 1988
Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)
feedback equivalencenonlinear control systemsglobal linearizationCauchy characteristicsgeometric and numerical invariants
Nonlinear systems in control theory (93C10) Geometric methods (93B27) Foliations in differential topology; geometric theory (57R30) Control/observation systems governed by ordinary differential equations (93C15) Vector distributions (subbundles of the tangent bundles) (58A30)
Related Items
Geometrical and topological methods in optimal control theory, On local equivalence for vector field systems, An Algorithm for Local Transverse Feedback Linearization, Perturbation theory for nonlinear feedback control systems and Spencer- Goldschmidt integrability of linear partial differential equations, Nonlinear feedback control and systems of partial differential equations
Cites Work
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- Structures feuilletées et cohomologie à valeur dans un faisceau de groupoïdes
- Some comments on global linearization of nonlinear systems
- Nonlinear control systems: An introduction
- Global state and feedback equivalence of nonlinear systems
- On the linear equivalents of nonlinear systems
- Formal linearization of vector fields and related cohomology. I, II
- E. Cartan's geometrie theory of partial differential equations
- Some differential geometric aspects of the Lagrange variational problem
- Differential geometry and the calculus of variations
- Über Systeme von linearen partiellen Differentialgleichungen erster Ordnung
- The geometric theory of deformation and linearization of Pfaffian systems and its applications to system theory and mathematical physics. I
- The theory of equivalence of Pfaffian systems and input systems under feedback
- Global $(f,g)$-Invariance of Nonlinear Systems
- Control design for multivariable non-linear time-varying systems
- Nonlinear controllability and observability
- The Formal Linearization of a Semisimple Lie Algebra of Vector Fields about a Singular Point
- Invariants of Pfaffian Systems
- On the Equivalence of Control Systems and the Linearization of Nonlinear Systems