Titlebook: Generalized Adjoint Systems; Demetrios Serakos Book 2015 Demetrios Serakos 2015 Systems theory.Theorems of Hahn-Banach type.adjoint method

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978-3-319-16651-3Demetrios Serakos 2015

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,Spaces of Time Functions Consisting of Input–Output Systems,stems. These time-truncated systems may be viewed as time functions, and a space of such time functions is defined. This chapter verifies the fitted family structure developed in Chap. 2 for this space.

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A Generalized Adjoint Map,ed adjoint map between these spaces is defined. Properties of the generalized adjoint map are presented. The generalized adjoint map provides the connection between the input–output system and its generalized adjoint and is also important in our work in Chap.?6

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Summary and Conclusions,me varying. The generalized adjoint system is patterned after adjoints of bounded linear transformations in Banach space, and inherits various properties from the original input–output system. We have also shown that the generalized adjoint system can be used to represent the inverse of the original