Controllability and necessary second-order optimality conditions in optimal control problems

2017/09/03 by E. R. Avakov, Avakov, E. R., Georgii Georgievich Magaril-Il'yaev +1
Computer Science · Engineering · Mathematics · #Aerospace Engineering and Control Systems #Differential Equations and Numerical Methods #FOS: Mathematics #Optimization and Control (math.OC) #Optimization and Variational Analysis

paper · pdf · doi:10.48550/arxiv.1709.00683

openalex publication_date 2017/09/03 · openalex created_date 2017/09/15 · openalex updated_date 2026/07/28

Abstract

The paper puts forward sufficient conditions for local controllability of a control dynamical system. The results obtained are meaningful in the case when the linear approximation to this system is not completely controllable. As a corollary, we obtain necessary second-order optimality conditions for a general optimal control problem.

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