Sylvester matrix equations play a prominent role in various areas such as control theory,
medical imaging acquisition systems, model reduction, and stochastic control. Considering …

In this paper, the fuzzy matrix equation $ A\widetilde {X} B=\widetilde {C} $ in which $ A, B $
are $ n\times n $ crisp matrices respectively and $\widetilde {C} $ is an $ n\times n …

Analyzing the stability of many control systems required solving a couple of crisp Sylvester
matrix equations (CSMEs) simultaneously. However, there are some situations in which the …

Many problems in systems and control theory are related to solvability of Sylvester matrix
equations. In many applications, at least some of the parameters of the system should be …

A new method for solving bipolar fully fuzzy Sylvester matrix equations (BFFSE) is presented
in this paper. This equation is normally used for controllers in the field of control theory. It is …

An associated linear system has been previously employed to solve Fully Fuzzy Linear
System (FFLS) with trapezoidal or triangular fuzzy numbers (TFNs). This paper proposes a …

Sylvester matrix equations play a crucial role in control theory for controller design. Bipolar
Fully Fuzzy Sylvester Matrix Equations (FFSME), incorporating both positive and negative …

Analyzing the stability of many control systems required solving a couple of crisp Sylvester
matrix equations (CSMEs) simultaneously. However, there are some situations in which the …

In this paper, the possible ways of solution for the arbitrary Fully Fuzzy Linear System (FFLS)
are revised, the min-max and the absolute system is employed to formulate an embedding …

In this paper, a novel application of the LR-Fuzzy linear system is presented on forces acting
on the blocks based on Newton's second law of motion. The definition of fuzzy forces acting …