2019/06/20 by E. R. Avakov, Avakov, Evgeny, Georgii Georgievich Magaril-Il'yaev +1
Computer Science · Engineering · #Aerospace Engineering and Control Systems #FOS: Mathematics #Optimization and Control (math.OC) #Optimization and Variational Analysis #Spacecraft Dynamics and Control
paper · pdf · doi:10.48550/arxiv.1906.08571
openalex publication_date 2019/06/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The concept of a local infimum for an optimal control problem is introduced. This definition extends that of an optimal process. For a~local infimum we prove an existence theorem and derive necessary conditions that resemble some family of "maximum principles". Examples are given to demostrate the meaningfulness of the necessary conditions obtained in the present paper, which extend and strengthen the classical results in this field.