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Jean-Marc BIANNIC: Research Director, ONERA – Professor, ISAE-SUPAÉRO - ONERA-DTIS, Toulouse, France
INTRODUCTION
The article
For the sake of simplicity, the fundamental –– notions of governability and observability had been omitted, so that the three types of representation (transfer function, differential equation, state model) could be assumed to correspond to the same knowledge of the system.
This is not always the case, and the state representation of a system may be of a higher order than the transfer function, or even the differential equation. Why do these modes exist? What are the consequences? These are two fundamental questions in theory, but also very important in practice, and we'll start by answering them in the absence of uncertainty. Secondly, we'll return to the case of uncertain linear systems, whose LFT representation was also discussed in the article
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Governability and observability of uncertain linear systems
Bibliography
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BIANNIC (J-M), DEMOURANT (F), FERRERES (G), HARDIER (G), ROOS (C). The SMAC Toolbox: a collection of libraries for Systems Modeling Analysis and Control, June 2016, online available at http://w3.onera.fr/smac/ .
BIANNIC (J-M), ROOS (C), Generalized State Space : a new Matlab class to model uncertain and nonlinear...
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