Abstract
Dear Editor, In this letter, the backstepping technique is applied to solve the predefined-time stabilization problem for autonomous nonlinear systems, where nonlinear terms are unknown but satisfy a linear growth condition. A linear time-varying control law is designed to drive all states of an autonomous nonlinear system to the origin for an a priori preassigned time. Numerical examples are included to validate the obtained theoretical results and demonstrate effectiveness of the proposed control law. The conducted simulations show that the designed control input provides a lesser magnitude and is easier computable than some existing control laws.
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