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Explicit cascade decompositions of unitary systems (Q1384895)

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scientific article; zbMATH DE number 1143506
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English
Explicit cascade decompositions of unitary systems
scientific article; zbMATH DE number 1143506

    Statements

    Explicit cascade decompositions of unitary systems (English)
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    14 February 1999
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    The authors consider multi-input multi-output systems of the form \[ \dot x(t) = A x(t) + Bu(t), \qquad y(t) = C x(t) + D u(t) \] which are unitary, i.e. the induced operator \((x,u) \mapsto (x,y)\) is unitary. An explicit construction for decomposing the system into unitary subsystems by factorizing the transfer function in relation to the corresponding invariant subspaces is given.
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    unitary systems
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    cascade decomposition
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    linear system
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    transfer function factorization
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