1 citations · 1 across the 2 of their papers we have counts for
3 papers
math.OC2019
Local infimum in optimal control
Evgeny Avakov, Georgii Magaril-Il'yaev
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 a…
math.OC2018
Generalized maximum principle in optimal control
Evgeny Avakov, Georgii Magaril-Il'yaev
For an optimal control problem, the concept of a strong local infimum is introduce, for which necessary conditions consisting of some family of "maximum principles" are formulated.…
math.OC2017★ 1 cited
Controllability and necessary second-order optimality conditions in optimal control problems
E. R. Avakov, G. G. Magaril-Il'yaev
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…