Controllability and observability of fuzzy matrix discrete dynamical systems

Volume 12, Issue 12, pp 816--828 http://dx.doi.org/10.22436/jnsa.012.12.04

Publication Date: August 07, 2019 Submission Date: June 05, 2019 Revision Date: July 01, 2019 Accteptance Date: July 23, 2019

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Authors

Charyulu L. N. Rompicharla - Department of Mathematics, V. R. Siddhartha Engineering College, Kanuru, Vijayawada-520007, A. P., India. Venkata Sundaranand Putcha - Department of Mathematics, Rayalaseema University, Kurnool-518007, A. P., India. G. V. S. R. Deekshithulu - Department of Mathematics, JNTU College of Engineering, Kakinada, A. P., India.

Abstract

In this paper, sufficient conditions for the controllability of the fuzzy dynamical discrete system with the use of fuzzy rule base are established. Further, a sufficient condition for the fuzzy dynamical discrete system to be observable is constructed. The main advantage of this approach is that the rule base for the initial value can be determined without actually solving the system. Difference inclusions approach is adopted in the construction of these conditions. All the established theories are consolidated and explained with the help of examples.

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Keywords

• Fuzzy difference equations
• fuzzy rule
• controllability
• observability
• discrete dynamical systems

MSC

•  93B05
•  93C55
•  93C42
•  93B07

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