The extremal ranks of subject to a pair of matrix equations
Yongge Tian, Yonghui Liu (2006)
Rendiconti del Seminario Matematico della Università di Padova
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Yongge Tian, Yonghui Liu (2006)
Rendiconti del Seminario Matematico della Università di Padova
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J.-H. Evertse, R. Tijdeman (1996)
Compositio Mathematica
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Tadeusz Kaczorek (2001)
International Journal of Applied Mathematics and Computer Science
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A new problem of decreasing the degree of the closed-loop characteristic polynomial of the 2D Roesser model by a suitable choice of state feedbacks is formulated. Sufficient conditions are established under which it is possible to choose state feedbacks such that the non-zero closed-loop characteristic polynomial has degree zero. A procedure for computation of the feedback gain matrices is presented and illustrated by a numerical example.
Zbigniew Zaczkiewicz, Vladimir Marchenko (2006)
Control and Cybernetics
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Nikolas P. Karampetakis, Ashley Clive Pugh, G. E. Hayton (1997)
Kybernetika
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Shen-Chi Tang (1965)
Collectanea Mathematica
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Kolev, Emil (2003)
Serdica Mathematical Journal
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2000 Mathematics Subject Classification: 91A46, 91A35. We consider nonadaptive search problem for an unknown element x from the set A = {1, 2, 3, . . . , 2^n}, n ≥ 3. For fixed integer S the questions are of the form: Does x belong to a subset B of A, where the sum of the elements of B is equal to S? We wish to find all integers S for which nonadaptive search with n questions finds x. We continue our investigation from [4] and solve the last remaining case n = 2^k , k ≥ 2. ...