Representing a nonlinear state space system as a set of higher-order differential equations in the inputs and outputs

DOI10.1016/0167-6911(89)90008-XzbMath0669.93011OpenAlexW2148385575MaRDI QIDQ1119215

Arjan J. Van der Schaft

Publication date: 1989

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

Full work available at URL: http://www.sciencedirect.com/science/journal/01676911

zbMATH Keywords

equivalencestate space representationexternal behaviourdifferential algebraic approachsmooth nonlinear control system

Mathematics Subject Classification ID

Nonlinear systems in control theory (93C10) Minimal systems representations (93B20) Observability (93B07) Transformations (93B17)

Related Items

Structure at infinity revisited ⋮ Geometrical and topological methods in optimal control theory ⋮ An input-output representation for implicit linear time-varying systems ⋮ Robust sliding mode control of uncertain nonlinear systems ⋮ Linearization by generalized input--output injection ⋮ An intrinsic property of relative order and its application ⋮ Unnamed Item ⋮ Robust variable structure control of a PVTOL aircraft ⋮ On the singular tracking problem ⋮ An algorithm for the structural analysis of state space: synthesis of nonlinear observers ⋮ Unnamed Item ⋮ A nonlinear sliding mode control design approach based on neural network modelling

Cites Work

• From time series to linear system. I: Finite dimensional linear time invariant systems
• A note on the invertibility of nonlinear input-output differential systems
• Bilinear realizability is equivalent to existence of a singular affine differential i/o equation
• Transformations of linear systems under external equivalence
• Input-output and state-space representations of finite-dimensional linear time-invariant systems
• On realization of nonlinear systems described by higher-order differential equations
• Nonlinear decoupling via feedback: A differential geometric approach
• Smooth representation of systems with differentiated inputs
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item