Since the term “Fuzzy differential equations”(FDEs) emerged in the literature in 1978,
prevailing research effort has been dedicated not only to the development of the concepts …

In this paper, using the concept of horizontal membership functions, a new definition of fuzzy
derivative called granular derivative is proposed based on granular difference. Moreover, a …

Pontryagin's maximum principle is one of the most important topics of control theory. It plays
a crucial role in solving variational problems in an alternative way. In this paper, Pontryagin's …

Automatic voltage regulator (AVR) system is an important equipment in power system for
maintaining the terminal voltage of the generator at a specific level. Recently, fractional …

This paper deals with sub-optimal control of a fuzzy linear dynamical system. The aim is to
keep the state variables of the fuzzy linear dynamical system close to zero in an optimal …

In this paper, a class of uncertain linear dynamical systems called fuzzy fractional linear
dynamical systems is investigated. The aim is to find control inputs to keep the states of the …

This paper is devoted to make a framework for studying a class of uncertain differential
equations called Z-differential equations. In order to achieve the purpose, we first introduce …

In this paper, the fuzzy variational problem and fuzzy optimal control problem are
considered. The granular Euler–Lagrange condition for the fuzzy variational problem and …

In this paper, a class of fuzzy optimal control problem called fuzzy Bang-Bang (FBB) control
problem is revisited. The FBB control problem aims at finding control inputs which transfer …

In this paper an uncertain dynamical system is investigated in which the coefficients are as a
class of fuzzy sets and the fuzzy derivative is considered as the granular derivative …