On the classic solution of fuzzy linear matrix equations

Fuzzy linear matrix equations are generally applicable in signal processing, control, and system theory since most time-dependent models can be represented as linear or nonlinear dynamical systems. This paper presents a uniform method to find the classical solution of fuzzy linear matrix equations developed from He et al. (Soft Comput 22:6515–6523, 2018), Mikaeilvand et al. (Mathematics 8(5):850, 2020). As an applications of the method, numerical methods to solve fuzzy generalized Lyapunov matrix equation are presented. As suggested by large scale numerical tests, the method proposed here perform much faster than other methods and can solve large scale examples that other methods fail to do.