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This paper is devoted to constructive approximations and an alternative theoretic characterization of some classes of sliding mode control processes.
It is interesting to provide a function theoretic characterization of when φ induces a bounded or compact composition operator on various spaces.
For algebraic delay systems a field theoretic characterization of difference-differential flatness is given, and a related concept of extended Brunovsky states is introduced.
In this brief paper, using results from the theory of averaging of bilinear systems, we provide a graph theoretic characterization for the existence of periodic control inputs that stabilize a sparse matrix system to the origin.
Combined with [Davidson et al., Bull. London Math. Soc. (3)68 (1994), 178-202.], this also yields a lattice theoretic characterization of those algebras for which the commutant lifting theorem is valid.
A complete lattice theoretic characterization as "interpolating digraphs" is given for the class of matrix algebras containing the diagonal for which every locally contractive representation has a unitary ∗-dilation.
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A standard problem is to provide function theoretic characterizations when φ and ψ induce a bounded or compact weighted composition operator (see, e.g., [1 5] and the references therein).
It is of interest to provide function theoretic characterizations when φ and ψ induce a bounded or compact weighted composition operator.
Evaluation of the four kinds of description with respect to these criteria supports the claim that control theoretic characterizations of brain function are the kind of quantitative description we ought to provide.
A standard problem is to provide function theoretic characterizations when φ and ψ induce a bounded or compact weighted composition operator.
A model-theoretic characterization of the postulates and specific merging operators are given in Lin and Mendelzon (1999).
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