scientific article - MaRDI portal

Claude H. Moog, Jiangfeng Zhang, Xiaohua Xia

Publication date: 26 January 2011

Full work available at URL: https://eudml.org/doc/196510

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

nonlinear system realization differential form differential ideal

Nonlinear systems in control theory (93C10) Realizations from input-output data (93B15) Control/observation systems governed by ordinary differential equations (93C15)

Related Items

Realization of time-delay systems ⋮ Multi-realization of nonlinear systems ⋮ Comparison of LPV and nonlinear system theory: a realization problem ⋮ Realization of nonlinear MIMO system on homogeneous time scales ⋮ Minimal realizations of nonlinear systems ⋮ Unnamed Item

Cites Work

Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
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
Representing a nonlinear state space system as a set of higher-order differential equations in the inputs and outputs
Nonlinear control systems.
Linear equations in non-commutative fields
Analysis of nonlinear time-delay systems using modules over noncommutative rings
Theory of non-commutative polynomials
An algebraic framework generalizing the concept of transfer functions to nonlinear systems
On realization of nonlinear systems described by higher-order differential equations
The differential field associated to a general analytic nonlinear dynamical system
A Finiteness Criterion for Nonlinear Input–Output Differential Systems
Rank Invariants of Nonlinear Systems
Automatique et corps différentiels
Nonlinear Observers with Linearizable Error Dynamics
A New Setting for Polynomial Continuous-Time Systems, and a Realization Theorem
Realizations of nonlinear analytic input-output maps
Realizations of nonlinear systems and abstract transitive Lie algebras
Existence and Uniqueness of Realizations of Nonlinear Systems
Observability and Controllability for Smooth Nonlinear Systems
Generating series and nonlinear systems: Analytic aspects, local realizability, and i/o representations
Algebraic Differential Equations and Rational Control Systems
Existence and uniqueness of minimal realizations of nonlinear systems
Nonlinear controllability and observability
A linear algebraic framework for dynamic feedback linearization
Orders of Input/Output Differential Equations and State-Space Dimensions
Some realizations of algorithms for nonlinear input-output systems
Generalized controller canonical form for linear and nonlinear dynamics
Observability of nonlinear systems
Realization and Structure Theory of Bilinear Dynamical Systems
Transfer equivalence and realization of nonlinear higher order input-output difference equations