Canonical forms for stochastic nonlinear systems

We investigate the necessary and sufficient conditions for the existence of diffeomorphisms that transforms stochastic nonlinear systems to various canonical forms. A main tool in our analysis is the so called invariance under transformation rule that directly relates the coordinate transformation f...

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Published inProceedings of the 36th IEEE Conference on Decision and Control Vol. 1; pp. 24 - 29 vol.1
Main Author Zigang Pan
Format Conference Proceeding
LanguageEnglish
Published IEEE 1997
Subjects
Algorithm design and analysis
Backstepping
Control systems
Linear systems
Nonlinear control systems
Nonlinear dynamical systems
Nonlinear equations
Nonlinear systems
Stability
Stochastic systems
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ISBN0780341872
9780780341876
ISSN0191-2216
DOI10.1109/CDC.1997.650582

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Abstract We investigate the necessary and sufficient conditions for the existence of diffeomorphisms that transforms stochastic nonlinear systems to various canonical forms. A main tool in our analysis is the so called invariance under transformation rule that directly relates the coordinate transformation for stochastic nonlinear systems to that for deterministic uncertain nonlinear systems. This invariance rule allows the utilization of the existing necessary and sufficient conditions for deterministic nonlinear systems to the associated stochastic nonlinear systems.
AbstractList We investigate the necessary and sufficient conditions for the existence of diffeomorphisms that transforms stochastic nonlinear systems to various canonical forms. A main tool in our analysis is the so called invariance under transformation rule that directly relates the coordinate transformation for stochastic nonlinear systems to that for deterministic uncertain nonlinear systems. This invariance rule allows the utilization of the existing necessary and sufficient conditions for deterministic nonlinear systems to the associated stochastic nonlinear systems.
Author Zigang Pan
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Snippet We investigate the necessary and sufficient conditions for the existence of diffeomorphisms that transforms stochastic nonlinear systems to various canonical...
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StartPage 24
SubjectTerms Algorithm design and analysis
Backstepping
Control systems
Linear systems
Nonlinear control systems
Nonlinear dynamical systems
Nonlinear equations
Nonlinear systems
Stability
Stochastic systems
Title Canonical forms for stochastic nonlinear systems
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