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q-nonuniform difference linear control systems

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Języki publikacji
EN
Abstrakty
EN
We introduce q-nonuniform difference systems and propose q-nonuniform versions of some basic results of complete controllability and observability of linear systems such as criterions of controllability and observability, the q-duality theorem. An optimality necessary condition is also given for the case of the Ramsey model of economic growth.
Wydawca
Rocznik
Strony
133--143
Opis fizyczny
Bibliogr. 13 poz.
Twórcy
  • Department of Mathematics, Faculty of Sciences, University of Burundi, P.O. Box 2700 Bujumbura, Burundi; and The Abdus Salam Internationnal Centre for Theoretical Physics, Trieste, Italy
Bibliografia
  • [1] R. Askey and J. Wilson, Some basic hypergeometric orthogonal polynomials that generalize the Jacobi polynomials, Mem. Amer. Math. Soc. 54 (1985), 1-55.
  • [2] G. Bangerezako, q-difference linear control systems, J. Difference Equ. Appl. 17 (2011), no. 9, 1229-1249.
  • [3] G. Bangerezako, Variational calculus on q-nonuniform lattices, Math. Anal. Appl. 306 (2005), 161-179.
  • [4] G. Bangerezako, Variational q-calculus, J. Math. Anal. Appl. 289 (2004), 650-665.
  • [5] R. J. Barro and X. Sala-i-Martin, Economic Growth, MIT Press, Cambridge, 1999.
  • [6] A. M. C Brito da Cruz, N. Martins and D. F. M. Torres, Higher-order Hahn’s quantum variational calculus, Nonlinear Anal. 75 (2012), no. 3, 1147-1157.
  • [7] A. M. C Brito da Cruz, N. Martins and D. F. M. Torres, Hahn’s symmetric quantum variational calculus, Numer. Algebra Control Optim. 3 (2013), no. 1, 77-94.
  • [8] H. F. Jackson, q-difference equations, Amer. J. Math. 32 (1910), 305-314.
  • [9] A. P. Magnus, Associated Askey-Wilson polynomials as Laguerre-Hahn orthogonal polynomials, in: Orthogonal Polynomials and Their Applications (Segovia 1986), Lectures Notes in Math. 1329, Springer, Berlin (1988), 261-278.
  • [10] A. P. Magnus, Special nonuniform lattices (snul) orthogonal polynomials on discrete dense sets of points, J. Comp.Appl. Math. 65 (1995), 253-265.
  • [11] A. B. Malinowska and N. Martins, Generalized transversality conditions for the Hahn quantum variational calculus, Optimization 62 (2013), no. 3, 323-344.
  • [12] A. B. Malinowska and D. F. M. Torres, The Hahn quantum variational calculus, J. Optim. TheoryAppl. 147 (2010), no. 3, 419-442.
  • [13] A. F. Nikiforov, S. K. Suslov and U. B. Uvarov, Classical Orthogonal Polynomials of a Discrete Variable, Springer, Berlin, 1991.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-5e1f49cb-7674-4e4a-8ecd-3b12a53a2340
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