Time Optimal Control of Linear Systems with Bounded Controls

1963 ◽  
pp. 333-365 ◽  
Author(s):  
B. PAIEWONSKY
Keyword(s):  
Optimal Control ◽  
Linear Systems ◽  
Time Optimal Control ◽  
Bounded Controls ◽  
Time Optimal ◽  
Control Of Linear Systems

scholarly journals Time-optimal control of fractional-order linear systems

2015 ◽  
Vol 18 (3) ◽  
Author(s):  
Ivan Matychyn ◽  
Viktoriia Onyshchenko
Keyword(s):  
Optimal Control ◽  
Linear Systems ◽  
Control Function ◽  
Terminal State ◽  
Time Optimal Control ◽  
Fractional Dynamics ◽  
Support Functions ◽  
Problem Of Time ◽  
Time Optimal ◽  
Control Of Linear Systems

AbstractThe problem of time-optimal control of linear systems with fractional dynamics is treated in the paper from the convex-analytic standpoint. A linear system of fractional differential equations involving Riemann- Liouville derivatives is considered. A method to construct a control function that brings trajectory of the system to the terminal state in the shortest time is proposed in terms of attainability sets and their support functions

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