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A Motzkin-type theorem of the alternative in $L_p$ spaces
Last modified: 2014-02-15
Abstract
A theorem of the alternative (or a transposition theorem) asserts
that two systems are related in such a way that exactly one of them
is consistent. These theorems play a important role in deriving
optimality conditions for wide classes of extremal problems. We will
present some generalizations of well known Motzkin's theorem of the
alternative, i.e., we focus on Motzkin's theorem that represents a
continuous-time analogue of the original theorem.
that two systems are related in such a way that exactly one of them
is consistent. These theorems play a important role in deriving
optimality conditions for wide classes of extremal problems. We will
present some generalizations of well known Motzkin's theorem of the
alternative, i.e., we focus on Motzkin's theorem that represents a
continuous-time analogue of the original theorem.