Inner-Outer Factorization via Lur'e Equations
نویسندگان
چکیده
منابع مشابه
Inner–outer factorization and the inversion of locally finite systems of equations
W e consider the problem of computing the inverse of a large class of infinite systems of l inear equations, which are described by a finite set of data. The class consists of equations in whi ch the linear operator is represented by a discrete time-varying dynamical system whose l ocal state space is of finite dimension at each time point k , and which reduces to time inv ariant systems for ti...
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An inner-outer factorization theorem for linear time-varying systems is obtained via an extension of the classical Beurling-Lax theorem to the time-varying context. This provides characteristic features of the inner factor, which can be used to compute realizations of the inner and outer factors from a realization of the given transfer operator. The resulting algorithm is unidirectional in time...
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The problem of expressing a given nonlinear statespace system as the cascade connection of a lossless system and a stable, minimum-phase system (inner-outer factorization) is solved for the case of a stable system having state-space equations affine in the inputs. The solution is given in terms of the stabilizing solution of a certain Hamilton-Jacobi equation. The stable, minimum-phase factor i...
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ژورنال
عنوان ژورنال: PAMM
سال: 2016
ISSN: 1617-7061
DOI: 10.1002/pamm.201610403