scholarly journals Some remarks on linear set-valued differential equations

2020 ◽  
Vol 65 (3) ◽  
pp. 411-427
Author(s):  
Tatyana A. Komleva ◽  
◽  
Liliya I. Plotnikova ◽  
Natalia V. Skripnik ◽  
Andrej V. Plotnikov ◽  
...  
Keyword(s):  
Differential Equations ◽  
Linear Set

scholarly journals One Control Problem for a Set-valued Object

2019 ◽  
pp. 37-40
Author(s):  
Tatyana Komleva ◽  
Liliya Plotnikova ◽  
Natalia Skripnik ◽  
Andrej Plotnikov
Keyword(s):  
Differential Equation ◽  
Optimal Control ◽  
Differential Equations ◽  
Optimal Control Problem ◽  
Control Problem ◽  
System Behavior ◽  
Linear Set ◽  
Basic Solutions ◽  
Set Valued Mappings

The article presents some definitions of derivatives for set-valued mappings and their properties. A linear set-valued differential equation is considered and conditions for the existence of basic solutions are given. Subsequently, one optimal control problem is considered, when the system behavior is described by linear set-valued differential equations.

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