Jiménez-Rodríguez, EstebanSánchez-Torres, Juan D.Loukianov, Alexander2017-03-032017-03-032016-10Jiménez-Rodrıguez, E., Sánchez-Torres, J.D. and Loukianov, A. "On Optimal Predefined-Time Stabilization". XVII Latin American Conference of Automatic Control, IFAC, Medellín, Colombia, 2016, pp. 317--322.http://hdl.handle.net/11117/4260This paper addresses the problem of optimal predefined-time stability. Predefined-time stable systems are a class of fixed-time stable dynamical systems for which the minimum bound of the settling-time function can be defined a priori as a explicit parameter of the system. Sufficient conditions for a controller to solve the optimal predefined-time stabilization problem for a given system are provided. These conditions involve a Lyapunov function that satisfy both a certain differential inequality for guaranteeing predefined-time stability and the steady-state Hamilton-Jacobi-Bellman equation for guaranteeing optimality. Finally, this result is applied to the predefined-time optimization of the sliding manifold reaching phase.engHamilton-Jacobi-Bellman EquationLyapunov FunctionsOptimal ControlPredefined-Time Stabilityinfo:eu-repo/semantics/conferencePaper