Journal of Computational and Applied Mathematics, ( ISI ), Volume (259), No (2014), Year (2014-1) , Pages (682-694)

Title : ( A new approach for the optimal fuzzy linear time invariant controlled system with fuzzy coefficients )

Authors: Marzieh Najariyan , Mohammad Hadi Farahi ,

Citation: BibTeX | EndNote

Abstract

In this article, a new technique for solving the linear time invariant dynamical system with fuzzy parameters is proposed. This approach is used to solve a fuzzy controlled system by using α-cuts and presentation of numbers in a more compact form by moving to the field of complex numbers. By considering a new feature of the Hamiltonian function and using the Pontryagin maximum principle, the solution of the fuzzy optimal controlled system is considered.

Keywords

Keywords: Generalized derivative of fuzzy functions Fuzzy time invariant system Fuzzy optimal control Fuzzy differential equation Pontryagin maximum principle Hamiltonian function
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@article{paperid:1040751,
author = {Najariyan, Marzieh and Farahi, Mohammad Hadi},
title = {A new approach for the optimal fuzzy linear time invariant controlled system with fuzzy coefficients},
journal = {Journal of Computational and Applied Mathematics},
year = {2014},
volume = {259},
number = {2014},
month = {January},
issn = {0377-0427},
pages = {682--694},
numpages = {12},
keywords = {Keywords: Generalized derivative of fuzzy functions Fuzzy time invariant system Fuzzy optimal control Fuzzy differential equation Pontryagin maximum principle Hamiltonian function},
}

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%0 Journal Article
%T A new approach for the optimal fuzzy linear time invariant controlled system with fuzzy coefficients
%A Najariyan, Marzieh
%A Farahi, Mohammad Hadi
%J Journal of Computational and Applied Mathematics
%@ 0377-0427
%D 2014

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