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Solvability of the Regulator Equation: L2-space Approach
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SYSNO ASEP 0310750 Document Type C - Proceedings Paper (int. conf.) R&D Document Type Conference Paper Title Solvability of the Regulator Equation: L2-space Approach Title Řešitelnost rovnice regulátoru v L2 prostorech Author(s) Rehák, Branislav (UTIA-B) RID, ORCID Source Title Preprints of the 17th IFAC World Congress, Part 1. - Laxenburg : IFAC, 2008 - ISBN 978-3-902661-00-5 Pages s. 12124-12128 Number of pages 5 s. Publication form DVD Rom - DVD Rom Action The 17th IFAC World Congress Event date 06.07.2008-11.07.2008 VEvent location Seoul Country KR - Korea, Republic of Event type WRD Language eng - English Country KR - Korea, Republic of Keywords Output Regulation Problem ; Nonlinear Systems ; Partial Differential Equations Subject RIV BC - Control Systems Theory R&D Projects GP102/07/P413 GA ČR - Czech Science Foundation (CSF) LA 274 GA MŠMT - Ministry of Education, Youth and Sports (MEYS) CEZ AV0Z10750506 - UTIA-B (2005-2011) Annotation An alternative proof of solvability of the differential equation that is a part of the Regulator Equation which arises from the solution of the Output Regulation Problem is presented. The proof uses the standard Hilbert-space based theory of solutions of elliptic partial differential equations for the case of the linear Output Regulation Problem. In the nonlinear case, a sequence of linear equations is defined so that their solution converges to the solution of the nonlinear problem. This is proved using the Banach Contraction Theorem. Workplace Institute of Information Theory and Automation Contact Markéta Votavová, votavova@utia.cas.cz, Tel.: 266 052 201. Year of Publishing 2009
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