![Sample our Engineering & Technology journals, sign in here to start your access, latest two full volumes FREE to you for 14 days]({"type":"image" , "src" : "/sda/5933/TOC-Subject-Sample-2021-Engineering-Tech.jpg"})
Abstract
A systematic method of generating explicit Lyapunov functions for linear time-varying differential equations is presented in this paper. The linear time-varying system equation is decomposed into a fixed part and a time-varying part. A simple closed form expression of the Lyapunov function for the fixed part has been derived. This has been suitably augmented and applied to the time-varying system in the determination of stability results. Only first-order time-derivatives on the time-varying parameters of the system are involved in the stability results.