Finite-precision stabilization for neutrosophic linear systems  using a descriptor model approach

Rongyao Ling; Songquan Shi; Wenhua Cui; Yiming Fang

Authors

Rongyao Ling College of Mechanical and Electrical Engineering, Shaoxing UniversitCollege of Mechanical and Electrical Engineering, Shihezi University, P. R. China; y, P. R. China;
Songquan Shi College of Mechanical and Electrical Engineering, Shaoxing University, P. R. China;
Wenhua Cui College of Mechanical and Electrical Engineering, Shaoxing University, P. R. China
Yiming Fang College of Mechanical and Electrical Engineering, Shaoxing University, P. R. China

Keywords:

Neutrosophic linear systems; Finite word length; Descriptor models; System stabilization

Abstract

This paper focuses on the stabilization problem of neutrosophic linear systems using finite-precision
digital controllers. The main challenge lies in decoupling and processing the indeterminacies inherent in such
systems. To tackle this, a standardization method that unifies the bounds of parameter indeterminacies is
first proposed. Additionally, a fixed-point representation scheme is introduced to define both the precision and
representation of the controller parameters. To handle multiple uncertainties in the system, a descriptor model
approach is introduced, which transforms the closed-loop system into a singular system, allowing for more
effective decoupling of uncertainties. Using singular system theory, a novel solvability condition is derived for
system stabilization and a parametric approach for controller design is introduced, accompanied by a numerical
example to validate the proposed methods.

DOI: 10.5281/zenodo.14720528