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A Generalization of the Bang-Bang Principle of Linear Control Theory*
Canadian mathematical bulletin, Tome 8 (1965) no. 6, pp. 783-789

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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 |uo i(τ) = 1. Let Y(τ) be any (n × r ) matrix function in L1([ 0, t]). 
Datko, Richard. A Generalization of the Bang-Bang Principle of Linear Control Theory*. Canadian mathematical bulletin, Tome 8 (1965) no. 6, pp. 783-789. doi: 10.4153/CMB-1965-058-4
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     author = {Datko, Richard},
     title = {A {Generalization} of the {Bang-Bang} {Principle} of {Linear} {Control} {Theory*}},
     journal = {Canadian mathematical bulletin},
     pages = {783--789},
     year = {1965},
     volume = {8},
     number = {6},
     doi = {10.4153/CMB-1965-058-4},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1965-058-4/}
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