A contstructive aaproach for the observability of coupled linear systems
Institut de Recherche Mathématique Avancée Université Louis Pasteur et CNRS 7, rue René Descartes 67084 Strasbourg Cédex, France
2 Istituto per le Applicazioni del Calcolo "Mauro Picone'', Consiglio Nazionale delle Ricerche, Viale del Policlinico, 137, 00161 Roma, Italy
We present a constructive method for the study of observability or partial observability of weakly coupled linear distributed systems or, more generally, of compactly perturbed systems. This approach allows us to avoid the usual indirect compactness-uniqueness arguments in many cases. It is based on two ideas: a detailed study of the dependence of some constants on the initial data and on a generalization of an estimation method of A. Haraux in nonharmonic analysis.
© EDP Sciences, ESAIM, 1998