Real solutions of polynomial equations

• Autorzy: Kiritsis K. H.
• Języki publikacji: EN

Abstrakty

EN

In this paper the problem of existence of solution of polynomial equations over the field of real numbers is considered. In particular, the explicit necessary and sufficient conditions are established for the equation A(z)X + B(z)Y = C(z) in polynomial matrices to have a solution for X and Y over the field of real numbers, with X being non-singular, for every polynomial matrix C(z) from a given class.

Słowa kluczowe

EN

polynomial equations; polynomial matrices; real solutions

• Wydawca: Systems Research Institute, Polish Academy of Sciences
• Czasopismo: Control and Cybernetics
• Rocznik: 2017
• Tom: Vol. 46, no. 2
• Strony: 177--185
• Opis fizyczny: Bibliogr. 3 poz.

Twórcy

autor

Kiritsis K. H.

• Hellenic Air Force Academy Department of Aeronautical Sciences Division of Automatic Control Air Base of Dekelia TΓA 1010, Dekelia, Athens, Greece

Bibliografia

• [1] Korotka, T., Zagalak, P. and Loiseau, J. J. (2012) Weak regularizability and pole assignment for nonsquare linear systems. Kybernetika, 48(6), 1065–1088.
• [2] Korotka, T., Zagalak, P., Loiseau, J. J. and Kucera, V. (2012) Sufficiency conditions for pole assignment in column-regularizable implicit linear systems. Proceedings of 17th International Conference on Methods and Models in Automation and Robotics, 457-1 – 457-6.
• [3] Kucera, V. and Zagalak, P. (1992) Constant solutions of polynomial equations. International Journal of Control, 53(1), 1991, 495–502.

Uwagi

PL

Opracowanie rekordu w ramach umowy 509/P-DUN/2018 ze środków MNiSW przeznaczonych na działalność upowszechniającą naukę (2018).