Title : ( A new approach for the optimal fuzzy linear time invariant controlled system with fuzzy coefficients )
Authors: Marzieh Najariyan , Mohammad Hadi Farahi ,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@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},
}
%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