Output Stabilization for Infinite-Dimensional Bilinear Systems

• Autorzy: Zerrik E. H. , Ouzahra M.
• Języki publikacji: EN

Abstrakty

EN

The purpose of this paper is to extend results on regional internal stabilization for infinite bilinear systems to the case where the subregion of interest is a part of the boundary of the system evolution domain. Then we characterize either stabilizing control on a boundary part, or the one minimizing a given cost of performance. The obtained results are illustrated with numerical examples.

Słowa kluczowe

EN

infinite bilinear systems; output stabilization; regional stabilization

PL

system dwuliniowy nieskończony; stabilizacja wyjściowa; stabilizacja dziedzinowa

• Wydawca: Oficyna Wydawnicza Uniwersytetu Zielonogórskiego
• Czasopismo: International Journal of Applied Mathematics and Computer Science
• Rocznik: 2005
• Tom: Vol. 15, no 2
• Strony: 187--195
• Opis fizyczny: Bibliogr. 9 poz., rys., wykr.

Twórcy

autor

Zerrik E. H.

• MACS Group – AFACS UFR, Faculty of Sciences, University of Moulay Ismail, 4010 Meknes, Morocco

autor

Ouzahra M.

• MACS Group – AFACS UFR, Faculty of Sciences, University of Moulay Ismail, 4010 Meknes, Morocco

Bibliografia

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• [2] Ball J., Marsden J.E. and Slemrod M.(1982): Controllability for distributed bilinear systems. — SIAM. J. Contr. Optim., Vol. 20, No. 4, pp. 575–597.
• [3] Chilov G. (1970): Analyse mathèmatique. Fonctions de plusieurs variables rèelles.— Moscow: Mir, (in French).
• [4] Kato T. (1980): Perturbation Theory for Linear Operators. —Berlin: Springer.
• [5] Pazy A. (1983): Semi-Groups of Linear Operators and Applications to Partial Differential Equations. — New York: Springer.
• [6] Quinn J.P. (1980): Stabilization of bilinear systems by quadratic feedback control. — J. Math. Anal. Appl., Vol. 75, No. 1, pp. 66–80.
• [7] Triggiani R. (1975): On the stabilizability problem in Banach space. —J. Math. Anal. Appl., Vol. 52, pp. 383–403.
• [8] Zerrik E. and Ouzahra M. (2003a): Regional stabilization for infinite-dimensional systems. — Int. J. Contr., Vol. 76, No. 1, pp. 73–81.
• [9] Zerrik E., Ouzahra M. and Ztot K. (2004): Regional stabilization for infinite bilinear systems. — IEE Contr. Theory Appl., Vol. 151, No. 1, pp. 109–116.