Kyungpook Mathematical Journal

Department of Mathematics, Kyungpook National University (경북대학교 자연과학대학 수학과)
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On Observability of Fuzzy Dynamical Matrix Lyapunov Systems

  • Received : 2007.09.07
  • Published : 2008.09.30
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Abstract

In this paper we generate a fuzzy dynamical matrix Lyapunov system and obtain a sufficient condition for the observability of this system.

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References

  1. R. J. Aumann, Integrals of set-valued functions, Journal of Mathematical Analysis and Applications, 12(1965), 1-12. https://doi.org/10.1016/0022-247X(65)90049-1
  2. S. Barnett and R. G. Cameron, Introduction to mathematical control theory, Second Edition, Clarendon Press, Oxford (1985).
  3. J. B. Conway, A course in functional analysis, Springer-Verlag, New York, 1990.
  4. G. Debreu, Integration of correspondence, in: Proc. Fifth Berkeley Symp. Math. Statist. Probab., 2, Part 1(Univ. California Press, Berkeley, CA, 1967), 351-372.
  5. Z. Ding and A. Kandel, On the observability of fuzzy dynamical control systems (I), Fuzzy sets and systems, 111(2000), 225-236. https://doi.org/10.1016/S0165-0114(97)00397-7
  6. O. Kaleva, Fuzzy differential equations, Fuzzy sets and Systems, 24(1987), 301-317. https://doi.org/10.1016/0165-0114(87)90029-7
  7. V. Lakshmikantham and R. Mohapatra, Theory of Fuzzy Differential Equations and Inclusions, Taylor and Francis, London(2003).
  8. M. S. N. Murty, B. V. Appa Rao and G. Suresh Kumar, Controllability, Observability, and Realizability of matrix Lyapunov systems, Bulletin of the Korean Mathematical Society, 43(1)(2006), 149-159. https://doi.org/10.4134/BKMS.2006.43.1.149
  9. M. S. N. Murty and G. Suresh Kumar, Three point boundary value problems for Fuzzy differential equations, Journal of the ChungCheong Mathematical Society, 19(1)(2006), 101-110.
  10. C. V. Negoita and D. A. Ralescu, Applications of fuzzy sets to systems analysis, Willey , New York (1975).
  11. M. L. Puri and D. A. Ralescu, Fuzzy random variables, Journal of Mathematical Analysis and Applications, 114(1986), 409-422. https://doi.org/10.1016/0022-247X(86)90093-4
  12. H. Radstrom, An embedding theorem for space of convex sets, Proc. Amer. Math. Soc. 3(1952), 165-169. https://doi.org/10.1090/S0002-9939-1952-0045938-2

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  1. Generalized differentiability and integrability for fuzzy set-valued functions on time scales vol.20, pp.3, 2016, https://doi.org/10.1007/s00500-014-1569-1