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A unified construction of adjoint systems and networks
Author(s) -
Narayanan H.
Publication year - 1986
Publication title -
international journal of circuit theory and applications
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.364
H-Index - 52
eISSN - 1097-007X
pISSN - 0098-9886
DOI - 10.1002/cta.4490140401
Subject(s) - construct (python library) , dual (grammatical number) , mathematics , state (computer science) , dynamical systems theory , kalman filter , adjoint equation , computer science , linear system , linear dynamical system , flow (mathematics) , algebra over a field , mathematical optimization , theoretical computer science , algorithm , pure mathematics , differential equation , mathematical analysis , artificial intelligence , geometry , art , physics , literature , quantum mechanics , programming language
In this paper we introduce a technique for dealing with implicitly defined complementary orthogonal spaces. Using this technique we give a unified construction of various types of adjoint systems for dynamical systems defined through flow diagrams or graphs and also obtain the state and output equations of the adjoint systems in terms of the corresponding equations for the original system. Among other things we show how to construct the Kalman dual of a linear electrical network.