Application of the principle of the Pontryagin maximum in the solution of a problem of minimum time
作者
Departamento de Matemáticas, Universidad Nacional de Trujillo, Trujillo, Perú,José Luis Ponte Bejarano,Juan Carlos Ponte Bejarano,Departamento de Matemáticas, Universidad Nacional de Trujillo, Trujillo, Perú,Alexis Rodríguez Carranza,Departamento de Matemáticas, Universidad Nacional de Trujillo, Trujillo, Perú,Nelson Omar Aragones Salazar,Departamento de Matemáticas, Universidad Nacional de Trujillo, Trujillo, Perú
出处
期刊:Selecciones matematicas [National University of Trujillo] 日期:2021-11-30卷期号:8 (02): 333-347
In the present work, necessary and sufficient optimality conditions are presented for the solution to a mínimum time problem. These conditions are established by the principle of the Pontryagin maximum, as a necessary and sufficient condition. In addition, the principle of the Pontryagin maximum is used in the search for the solution to an optimal control problem of mechanical origin.