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Risk in Control. On the Notion of Risk Function

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Języki publikacji
EN
Abstrakty
EN
In this paper, we introduce the concept of risk in control. We pose ourselves and we try to answer the general question: what is risk function? The respective definitions using the necessary logical notions are formulated and analyzed with the aid of numerous examples. The reader will find all relevant notions in [14], [15], [16] and [17].
Wydawca
Rocznik
Strony
151--165
Opis fizyczny
Bibliogr. 17 poz.
Twórcy
  • Institute of Geophysics of the Polish Academy of Sciences, 64 Księcia Janusz str. 01-452 Warszawa, Poland, tom@ifg.edu.pl
Bibliografia
  • [1] L. Borkowski. Formal Logic (in Polish). PWN, Warszawa, 1982.
  • [2] A. Grzegorczyk. An Outline of Mathematical Logic (in Polish). Mathematical Library, vol. 20, PWN, Warszawa, 1981.
  • [3] S. Łojasiewicz. Introduction into Real Functions Theory (in Polish). Mathematical Library, vol. 46, PWN, Warszawa, 1976.
  • [4] K. Kuratowski and A. Mostowski. Set Theory (in Polish). Monografie Matematyczne, vol 27, PWN, Warszawa, 1978.
  • [5] A. Mostowski. Mathematical Logic (in Polish). Monografie Matematyczne, Warszawa-Wrocław, 1948.
  • [6] W. van Orman Quine. Philosophy of Logic. Prentice-Hall, Englewood Cliffs, NY, 1973. (Polish transl. PWN, Warszawa, 1977).
  • [7] H. Rasiowa. Introduction into Contemporary Mathematics (in Polish). Math. Library vol. 30, PWN, Warszawa, 1971.
  • [8] E. D. Sontag. Mathematical Control Theory. Springer Verlag, New York, 1998.
  • [9] J. Słupecki and L. Borkowski. Elements of Mathematical Logic and Set Theory (in Polish). PWN, Warszawa, 1984.
  • [10] A. Tarski. Logico–philosophical Writings. Vol. 1: Truth (in Polish). PWN, Warszawa, 1995.
  • [11] A. Tarski. Introduction to Logic (in Polish, first edition 1936). Philomat, Warszawa, 1996.
  • [12] T. Terlikowski. On Definition of Two Notions Related to the Safety and Risk in Formal Control Theories (manuscript in Polish). Institute of Geophysics of PAS, 1990.
  • [13] T. Terlikowski. ¡¡ ABC ¿¿ — On the Use of Normal Forms of Sentential Expression for Defining Certain Notions (related to control theory) (manuscript in Polish). Institute of Geophysics of PAS, Warszawa, 1999.
  • [14] T. Terlikowski. A Logical Approach to Control. Some New Logical Concepts and Their Application to the Notion of Safety for Control Variants. Fundamenta Informaticae, 52(4), 2002.
  • [15] T. Terlikowski. A Logical Approach to Control. The Concept of Inner Implication. Fundamenta Informaticae, 53(3,4), 2002.
  • [16] T. Terlikowski. Descriptional Independence and the Formal Definition of Sequential Control Structure. Fundamenta Informaticae, 54(4), 2003.
  • [17] T. Terlikowski. On the Notion of Elementary Description, to appear in Fundamenta Informaticae, 2003.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BUS2-0004-0165
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