Necessary optimality conditions for continuous-discrete systems with instantaneous switching of the discrete part

2011 ◽  
Vol 50 (4) ◽  
pp. 580-592 ◽  
Author(s):  
A. S. Bortakovskii
Keyword(s):  
Optimality Conditions ◽  
Necessary Optimality Conditions ◽  
Discrete Systems ◽  
Instantaneous Switching ◽  
Discrete Part

scholarly journals On quasi-singular controls in discrete systems with delay

2021 ◽  
pp. 19-24
Author(s):  
Kamil Mansimov ◽  
◽  
Keyword(s):  
Optimal Control ◽  
Optimal Control Problem ◽  
Control Problem ◽  
Optimality Conditions ◽  
Necessary Optimality Conditions ◽  
Discrete Systems ◽  
Maximum Condition ◽  
Singular Controls ◽  
Performance Functional

Сconsider an optimal control problem described by a system of differential controls with a delaying argument and a multipoint performance functional under the assumption that the control domain is convex. A number of integral and multipoint necessary optimality conditions in the case of degeneration of the linearized maximum condition are established.

scholarly journals Mathematical model of joint optimization of programmed and perturbed motions in discrete systems

2021 ◽  
Vol 17 (2) ◽  
pp. 213-224
Author(s):  
Elena D. Kotina ◽  
◽  
Dmitri А. Ovsyannikov ◽  
Keyword(s):  
Mathematical Model ◽  
Optimality Conditions ◽  
Optimization Problems ◽  
Science And Technology ◽  
Necessary Optimality Conditions ◽  
Discrete Systems ◽  
Joint Optimization ◽  
Mathematical Technique ◽  
Program Motion

А new mathematical model for the optimization of discrete systems is constructed in the article. The program motion and the ensemble (beam) of perturbed motions are investigated. In this case, the authors consider the joint optimization of smooth and non-smooth functionals defined on the program and perturbed motions. The variation of the functional and the necessary optimality conditions are provided. The developed mathematical technique allows solving non-standard control and optimization problems in various fields of science and technology.

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