Achievable behavior of general systems

Arjan van der Schaft

doi:10.1016/S0167-6911(02)00318-3

Achievable behavior of general systems

Arjan van der Schaft

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Abstract

A basic question in systems and control theory concerns the characterization of the set of all achievable closed-loop systems for a given plant system and a controller system to be designed. This problem is addressed in a general behavioral context. Sufficient, and often necessary, conditions for a behavior to be achievable are given, and for any achievable behavior a canonical controller is defined. The results generalize previously obtained results obtained for finite-dimensional linear systems. The application to nonlinear differential systems is outlined.

Original language	English
Pages (from-to)	141-149
Number of pages	9
Journal	Systems and control letters
Volume	49
Issue number	2
DOIs	https://doi.org/10.1016/S0167-6911(02)00318-3
Publication status	Published - 2003

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10.1016/S0167-6911(02)00318-3

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AB - A basic question in systems and control theory concerns the characterization of the set of all achievable closed-loop systems for a given plant system and a controller system to be designed. This problem is addressed in a general behavioral context. Sufficient, and often necessary, conditions for a behavior to be achievable are given, and for any achievable behavior a canonical controller is defined. The results generalize previously obtained results obtained for finite-dimensional linear systems. The application to nonlinear differential systems is outlined.

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DO - 10.1016/S0167-6911(02)00318-3

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Achievable behavior of general systems

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