0381625 - ÚTIA 2013 RIV TW eng J - Journal Article
Rehák, Branislav
Alternative Method of Solution of the Regulator Equation: L2 -Space Approach.
Asian Journal of Control. Roč. 14, č. 4 (2012), s. 1150-1154. ISSN 1561-8625. E-ISSN 1934-6093
R&D Projects: GA MŠMT(CZ) LG12008
Institutional support: RVO:67985556
Keywords : Output regulation problem * partial differential equations
Subject RIV: BC - Control Systems Theory
Impact factor: 1.411, year: 2012 ; AIS: 0.266, rok: 2012
Result website:
http://library.utia.cas.cz/separaty/2012/TR/rehak-0381625.pdf

DOI: https://doi.org/10.1002/asjc.416

An alternative method for the 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. The proof uses the L2-space based theory of solutions of 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 solutions converge to the solution of the nonlinear problem. This is proved using the Banach Contraction Theorem.
Permanent Link: http://hdl.handle.net/11104/0212051