International Journal of Neutrosophic Science IJNS 2690-6805 2692-6148 10.54216/IJNS https://www.americaspg.com/journals/show/3890 2020 2020 Asymptotically Stability Concept for Perturbed Bilinear Time Varying Controlled Differential-algebraic Systems and Applications under Neutrosophic Environment Department of Mathematics, College of Science, Mustansiriyah University, Baghdad, Iraq Ghazwa Ghazwa 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. 2025 2025 09 20 10.54216/IJNS.260402 https://www.americaspg.com/articleinfo/21/show/3890