Continuous-time optimal control theory for cost functionals including discrete state penalty terms

1976 ◽  
Vol 21 (6) ◽  
pp. 866-869 ◽  
Author(s):  
H. Geering
Keyword(s):  
Optimal Control ◽  
Control Theory ◽  
Continuous Time ◽  
Optimal Control Theory ◽  
Time Optimal Control ◽  
Discrete State ◽  
Time Optimal ◽  
Cost Functionals

scholarly journals On turnpike and dissipativity properties of continuous-time optimal control problems

Automatica ◽  
2017 ◽  
Vol 81 ◽  
pp. 297-304 ◽  
Author(s):  
Timm Faulwasser ◽  
Milan Korda ◽  
Colin N. Jones ◽  
Dominique Bonvin
Keyword(s):  
Optimal Control ◽  
Continuous Time ◽  
Optimal Control Problems ◽  
Time Optimal Control ◽  
Control Problems ◽  
Time Optimal

A Generalization of the Bang-Bang Principle of Linear Control Theory*

1965 ◽  
Vol 8 (6) ◽  
pp. 783-789
Author(s):  
Richard Datko
Keyword(s):  
Optimal Control ◽  
Control Theory ◽  
Matrix Function ◽  
Linear Time ◽  
Time Optimal Control ◽  
Linear Control ◽  
Dimensional Vector ◽  
R Matrix ◽  
Linear Control Theory ◽  
Time Optimal

In a paper by LaSalle [l] on linear time optimal control the following lemma is proved:Let Ω be the set of all r-dimensional vector functions U(τ) measurable on [ 0, t] with |ui(τ)≦1. Let Ωo be the subset of functions uo(τ) with |uoi(τ) = 1. Let Y(τ) be any (n × r ) matrix function in L1([ 0, t]).

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