Perturbation theory for nonlinear feedback control systems and Spencer- Goldschmidt integrability of linear partial differential equations

DOI10.1007/BF00822204zbMath0704.93035MaRDI QIDQ917503

Robert Hermann

Publication date: 1990

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

zbMATH Keywords

nonlinear feedback controllinearized feedback control equationSpencer-Goldschmidt integrability

Mathematics Subject Classification ID

Feedback control (93B52) Nonlinear systems in control theory (93C10) Control/observation systems in abstract spaces (93C25) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Control/observation systems governed by ordinary differential equations (93C15) Overdetermined systems of PDEs with variable coefficients (35N10)

Related Items (2)

Geometrical and topological methods in optimal control theory ⋮ On dynamic input-output linearization of discrete-time nonlinear systems

Cites Work

• Invariants for feedback equivalence and Cauchy characteristic multifoliations of nonlinear control systems
• On the linear equivalents of nonlinear systems
• Nonlinear feedback control and systems of partial differential equations
• Formal linearization of vector fields and related cohomology. I, II
• E. Cartan's geometrie theory of partial differential equations
• Existence theorems for analytic linear partial differential equations
• Some differential geometric aspects of the Lagrange variational problem
• 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
• The Formal Linearization of a Semisimple Lie Algebra of Vector Fields about a Singular Point
• Overdetermined systems of linear partial differential equations
• On the Equivalence of Control Systems and the Linearization of Nonlinear Systems
• Lie Equations, Vol. I

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