Partial symmetries for nonlinear systems

Henk Nijmeijer; Arjan van der Schaft

doi:10.1007/BF01699462

Partial symmetries for nonlinear systems

Henk Nijmeijer, Arjan van der Schaft

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Abstract

We define the concept of partial symmetry for nonlinear systems, which is an intermediate notion between the concepts of symmetry and controlled invariance. It is shown how this concept can be used for a decomposition theory of nonlinear systems and is particularly suited as a framework for treating input-output decoupling problems.

Original language	English
Pages (from-to)	79-96
Journal	Mathematical systems theory
Volume	18
Issue number	1
DOIs	https://doi.org/10.1007/BF01699462
Publication status	Published - 1985

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abstract = "We define the concept of partial symmetry for nonlinear systems, which is an intermediate notion between the concepts of symmetry and controlled invariance. It is shown how this concept can be used for a decomposition theory of nonlinear systems and is particularly suited as a framework for treating input-output decoupling problems.",

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JO - Mathematical systems theory

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Partial symmetries for nonlinear systems

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