Dissertation > Excellent graduate degree dissertation topics show

Periodic Problem of Semi-Linear Uncertain Dynamical Systems

Author: LiuZuo
Tutor: ChenMingHao
School: Harbin Institute of Technology
Course: Operational Research and Cybernetics
Keywords: fuzzy numbers H-differentiability fuzzy differential equation uncertain dynamical systems
CLC: O159
Type: Master's thesis
Year: 2011
Downloads: 22
Quote: 0
Read: Download Dissertation

Abstract


This paper we mainly stuided the periodic problems of semi-linear fuzzy differential equations in the sense of differential inclusions, i.e, periodic problems of semi-linear uncertain dynamical systems. Periodic problems of semi-linear uncertain dynamical systems has been widely applications in fuzzy cycle control problem and fuzzy neural network problem, and also make up the defect that we can not to study the the periodic problems of fuzzy differential equations in the sense of the H-derivatives.In this article we introduce the basic theories of fuzzy numbers space and the concept of H-differentiability of fuzzy number valued functions. We show one kind of special fuzzy numbers-continous fuzzy number, combined with one-dimendisional fuzzy number representation theorem, and give the new parametric representation of fuzzy numbers, one this basis, through the introduce of the concept of relative derivative and new differentiable, we establish the new theory of differential.This paper elaborates on the first order of periodic problems of semi-linear uncertain dynamical systems and periodic problems of semi-linear uncertain dynamical systems of the n dimension, we base on the Kakutani fixed-point theorem in the differential inclusions and the Stacking theorem in the fuzzy analytics, using the related theory of fuzzy differential equation and functional analysis, give the existence conditions of this solution and prove the process in detail, then proceed study with instence. In a word, it is proved the periodic problems of semi-linear uncertain dynamical systems has solutions with some conditions.

Related Dissertations

  1. Approximation of Fuzzy Numbers and Its Application to Multi-Criteria Decision Making Method,C934
  2. Based on the combined effect of the rough planning model,O221
  3. Enterprise Based on Fuzzy Analytic Hierarchy legal risk assessment study,D920.4
  4. Sensitivity Analysis of Two Classes of Perturbation Maps,O174
  5. Research on Similar Simulation of Gas Drainage Technology on Mining Face and Fire Prevention in Gobs,TD752.2
  6. Based on BP neural network , coal and gas outburst risk prediction,TD713
  7. The Research into the Theory of Solution to Fuzzy Linear Programming Based on Fuzzy Structured Element,O159
  8. The Binary Relation of Fuzzy Numbers and Its Application,O159
  9. Research on Fuzzy Probability Based on Interval Probability,O211.6
  10. Multi- criteria decision-making methods based on intuition triangular fuzzy numbers,C934
  11. Research on the Multicritiera Decision Making Based on Intuitionistic Fuzzy Set Theory,C934
  12. Pricing Barrier Options for Lévy Process with Fuzzy Parameters,F830.9
  13. Kuhn-Tucker Optimality Conditions for Vector Equilibrium Problems,O183.1
  14. Stability Study of Fuzzy Differential Equations Initial Value Problems,O175
  15. Joint Replenishment Problem under Fuzzy Environment Research,F224;F274
  16. Study on Solutions of Two Fuzzy Equations,O159
  17. The Relationship Between the Solutions of Fuzzy Differential Equations Under Different Meaning,O159
  18. Definite Solution Problems of Fuzzy Differential Equation,O159
  19. Research on Methods of Multi-Attribute Decision Making Based on Interval Intuitionistic Fuzzy Sets,O159
  20. The Discussion of Solutions about Fuzzy Posynomial Geometric Programming,O221.2
  21. The Sentence Similarity Research Based on Frame Kernel Semantic Dependency Graph,TP391.1

CLC: > Mathematical sciences and chemical > Mathematics > Algebra,number theory, portfolio theory > Fuzzy Mathematics
© 2012 www.DissertationTopic.Net  Mobile