Controlled Invariance for Nonlinear Systems

Nijmeijer, H. & Schaft, A. V. D., 1982, In : IEEE Transactions on Automatic Control. 11 p.

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Necessary and sufficient conditions are derived for "(A, B)-invariance," called here controlled invariance, for nonlinear systems x˙ = f(x, u). The obtained results generalize and elucidate already known results about systems x˙ = A(x)-Σmi=1 uiBi(x). A new and direct differential geometric interpretation of the concept of controlled invariance and the derived conditions is given.
Original languageEnglish
Number of pages11
JournalIEEE Transactions on Automatic Control
Publication statusPublished - 1982

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