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- W2006752005 abstract "We discuss the linear control problem $X(t) = [A_0 (t) + sum_{i = 1}^m {u_i (t)A_i (t)} ]X(t)$, where $A_0 , cdots ,A_m $ are $n times n$ matrix-valued functions of time, and where $X(t) in GL(n,R)$. We show that the set attainable from any element $M in GL(n,R)$ at time t by “bang-bang” controls is closed, provided the following very strong assumption is satisfied: for all i, j and for all $t'$, $t''$ such that $0 leqq t' leqq t$, $0 leqq t'' leqq t$, the matrices $A_i (t')$ and $A_j (t'')$ commute. We also show, by means of counterexamples, that these assumptions cannot be weakened." @default.
- W2006752005 created "2016-06-24" @default.
- W2006752005 creator A5041464632 @default.
- W2006752005 date "1972-08-01" @default.
- W2006752005 modified "2023-10-01" @default.
- W2006752005 title "The “Bang-Bang” Problem for Certain Control Systems in $GL(n,R)$" @default.
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- W2006752005 doi "https://doi.org/10.1137/0310036" @default.
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