Approximate calculation of optimal control by averaging method

1970 ◽  
pp. 116-127
Author(s):  
Yu. G. Yevtushenko
Keyword(s):  
Optimal Control ◽  
Approximate Calculation ◽  
Averaging Method

Study of optimal control problems on the half-line by the averaging method

2011 ◽  
Vol 47 (2) ◽  
pp. 264-277 ◽  
Author(s):  
A. N. Stanzhitskii ◽  
T. V. Dobrodzii
Keyword(s):  
Optimal Control ◽  
Optimal Control Problems ◽  
Averaging Method ◽  
Half Line ◽  
Control Problems

Optimal Control Law Research of Low-Thrust Transfer Based on General Averaging Method

2013 ◽  
Vol 8 (5) ◽  
pp. 251-261
Author(s):  
Gaofeng Li ◽  
Lei Wang ◽  
Yi Tan
Keyword(s):  
Optimal Control ◽  
Averaging Method ◽  
Control Law ◽  
Low Thrust

Averaging method in some problems of optimal control

2008 ◽  
Vol 11 (4) ◽  
pp. 539-547 ◽  
Author(s):  
T. V. Nosenko ◽  
O. M. Stanzhyts’kyi
Keyword(s):  
Optimal Control ◽  
Averaging Method

Approximate calculation of optimal control problems

1970 ◽  
Vol 34 (1) ◽  
pp. 86-94 ◽  
Author(s):  
Iu.G. Evtushenko
Keyword(s):  
Optimal Control ◽  
Approximate Calculation ◽  
Optimal Control Problems ◽  
Control Problems

scholarly journals Application of the averaging method to the problems of optimal control of the impulse systems

2020 ◽  
Vol 12 (2) ◽  
pp. 504-521
Author(s):  
T.V. Koval'chuk ◽  
V.V. Mogylova ◽  
O.M. Stanzhytskyi ◽  
T.V. Shovkoplyas
Keyword(s):  
Optimal Control ◽  
Differential Equations ◽  
Ordinary Differential Equations ◽  
Finite Time ◽  
Averaging Method ◽  
Optimal Synthesis ◽  
Time Interval ◽  
Finite Time Interval ◽  
System Of Differential Equations ◽  
Existence Of Optimal Control

The problem of optimal control at finite time interval for a system of differential equations with impulse action at fixed moments of time as well as the corresponding averaged system of ordinary differential equations are considered. It is proved the existence of optimal control of exact and averaged problems. Also, it is established that optimal control of averaged problem realize the approximate optimal synthesis of exact problem. The main result of the article is a theorem, where it is proved that optimal contol of an averaged problem is almost optimal for exact problem. Substantiation of proximity of solutions of exact and averaged problems is obtained.

Stochastic dynamics and fractional optimal control of quasi integrable Hamiltonian systems with fractional derivative damping

2013 ◽  
Vol 16 (1) ◽  
Author(s):  
Lincong Chen ◽  
Fang Hu ◽  
Weiqiu Zhu
Keyword(s):  
Optimal Control ◽  
Fractional Derivative ◽  
Hamiltonian Systems ◽  
Stochastic Dynamics ◽  
Averaging Method ◽  
Stochastic Averaging ◽  
Stochastic Averaging Method ◽  
Integrable Hamiltonian Systems ◽  
Fractional Optimal Control ◽  
Fractional Derivative Damping

AbstractIn the present survey, some progress in the stochastic dynamics and fractional optimal control of quasi integrable Hamiltonian systems with fractional derivative damping is reviewed. First, the stochastic averaging method for quasi integrable Hamiltonian systems with fractional derivative damping under various random excitations is briefly introduced. Then, the stochastic stability, stochastic bifurcation, first passage time and reliability, and stochastic fractional optimal control of the systems studied by using the stochastic averaging method are summarized. The focus is placed on the effects of fractional derivative order on the dynamics and control of the systems. Finally, some possible extensions are pointed out.

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