Asymptotically Stability Concept for Perturbed Bilinear Time Varying Controlled Differential-algebraic Systems and Applications under Neutrosophic Environment

Ghazwa F. Abd^1,*

¹Department of Mathematics, College of Science, Mustansiriyah University, Baghdad, Iraq

Abstract

Starting from semi-explicit perturbed bilinear time varying neutrosophic differential – algebraic equations (PBTVDAs). We develop a method for the stabilization of this controlled bilinear time varying neutrosophic differential – algebraic equations and prove that the controlled perturbed system can be stabilized by putting specific conditions on the proposed control. This method transfers the system to standard canonical form and uses the exponential stability concept. Therefore, the stabilization of this system is achieved finally; we present numerical results for the battery model, which confirm the theoretical results.

Keywords: Bilinear; Neutrosophic equation; Differential equation; Algebraic equation; Exponential stability