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Tytuł artykułu

Terminal control problem for processes represented by nonlinear multi parameter binary dynamic system

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Języki publikacji
EN
Abstrakty
EN
In this paper, nonlinear multi parameter binary difference equation system (MPBDS) and optimal piecewise process are analyzed. Since such difference equation system is over-determined, a theorem similar to Frobenius's theorem is proved on Galois field. An illustrative example, which can be solved by applying terminal control problem is given. Then, terminal control problem is examined and it is shown that the principle of optimality is satisfied.
Rocznik
Strony
625--633
Opis fizyczny
Bibliogr. 8 poz.
Twórcy
autor
autor
  • Department of Mathematics, Faculty of Arts and Sciences, Canakkale Onsekiz Mart University, Terzioglu Campus, 17020, Canakkale, Turkey, yhaciyev@comu.edu.tr
Bibliografia
  • ANDERSON, J.A. (2004) Discrete Mathematics with Combinatorics, Second edition. Prentice Hall.
  • BOLTYANSKII, V.G. (1978) Optimal Control of Discrete Systems. John Wiley, New York.
  • BURDEN, R.L. and FAIRES, J.D. (2001) Numerical Analysis, Seventh edition. Brooks/Cole, Pacific Grove, Australia.
  • GAYSHUN, I.V. (1983) Completely Solvable Multidimensional Differential Equations. Science and Technique, Minsk (in Russian).
  • HACIYEV (HACI), Y.H. (2007) Pseudo Boolean Expressions of Multi Parameter Boolean Vector Translating Functions. II. Turkish World Mathematics Symposium, Sakarya (in Turkish).
  • MUSAYEV, B. and ALP, M. (2000) Functional Analysis. Balci Publications, Kätahya (in Turkish).
  • SCHEID, F. (1988) Schaum’s Outline of Theory and Problems of Numerical Analysis, Second edition. Schaum’s Outline Series. McGraw-Hill.
  • YABLONSKY, S.V. (1989) Introduction to Discrete Mathematics. Mir Publishers, Moscow.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BAT5-0041-0009
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