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

This paper proposes a new method for solving the fully fuzzy Sylvester matrix equation
(FFSE). This method is considered as an extension of the solution for the positive fully fuzzy …

Sylvester Matrix Equations (SME) play a central role in applied mathematics, particularly in
systems and control theory. A fuzzy theory is normally applied to represent the uncertainty of …

This paper proposes a new computational method to obtain a positive solution for arbitrary
fully fuzzy linear system (FFLS). The new method transforms the coefficients in FFLS to a …

This paper will discuss algebraic modification of trapezoidal fuzzy numbers with a general
form of fully fuzzy numbers is with is n× n fuzzy matrix, fuzzy vector, and unknown fuzzy …

1Institute of Engineering Mathematics, Universiti Malaysia Perlis, 02600, Arau, Perlis,
Malaysia. 2School of Quantitative Sciences, Universiti Utara Malaysia, 06010, Sintok …

Pair matrix equations have numerous applications in control system engineering, such as for
stability analysis of linear control systems and also for reduction of nonlinear control system …

This paper shows that the exact solutions given for the fully fuzzy linear systems presented
as examples in [1] are non-fuzzy solutions. That is, the proposed solutions in [1] do not …

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 …

1Institute of Engineering Mathematics, Universiti Malaysia Perlis, 02600, Arau, Perlis,
Malaysia. 2School of Quantitative Sciences, Universiti Utara Malaysia, 06010, Sintok …