The classical Cayley-Hamilton theorem is extended to continuous-time linear systems with delays. The matrices of the system with delays satisfy algebraic matrix equations with coefficients of the characteristic polynomial.
Institute of Control and Industrial Electronics,Warsaw University of Technology, Koszykowa 75, 00-662 Warsaw, Poland
Bibliografia
Busłowicz M. and Kaczorek T. (2004): Reachability and minimum energy control of positive linear discrete-time systems with one delay. - Proc. 12-th Mediterranean Conf. s Control and Automation, Kasadasi, Turkey: Izmir (on CD-ROM).
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Kaczorek T. (1995a): An existence of the Cayley-Hamilton theorem for singular 2D linear systems with non-square matrices. - Bull. Pol. Acad. Techn. Sci., Vol. 43,No. 1, pp. 39-48.
Kaczorek T. (1995b): An existence of the Cayley-Hamilton theorem for nonsquareblock matrices and computation of the left and right inverses of matrices. -Bull. Pol. Acad. Techn. Sci., Vol. 43, No. 1, pp. 49-56.
Kaczorek T. (1995c): Generalization of the Cayley-Hamilton theorem for nonsquare matrices.- Proc. Int. Conf. Fundamentals of Electrotechnics and Circuit Theory XVIII-SPETO, Ustron-Gliwice, Poland, pp. 77-83.
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Kaczorek T. (2005): Generalization of Cayley-Hamilton theorem for n-D polynomial matrices. - IEEE Trans. Automat. Contr., No. 5, (in press).
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