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On the Kalman–Yakubovich–Popov lemma and the multidimensional models

✍ Scribed by Olivier Bachelier; Wojciech Paszke; Driss Mehdi


Book ID
106475246
Publisher
Springer US
Year
2008
Tongue
English
Weight
394 KB
Volume
19
Category
Article
ISSN
0923-6082

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The classical Kalman-Yakubovich-Popov Lemma provides a link between dissipativity of a system in state-space form and the solution to a linear matrix inequality. In this paper we derive the KYP Lemma for linear systems described by higher-order differential equations. The result is an LMI in terms o

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## Abstract This paper presents theory related to stability analysis and stability criteria relevant for observer‐based feedback control systems. To this purpose, a special formulation of the Yakubovich–Kalman–Popov (YKP) lemma is provided. We exploit that controllability is not necessary for exist