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Finite and infinite dimensional bilinear realizations

โœ Scribed by R.W. Brockett

Publisher
Elsevier Science
Year
1976
Tongue
English
Weight
718 KB
Volume
301
Category
Article
ISSN
0016-0032

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โœฆ Synopsis

In this pc~per we diacuas the realization of Volterra series by finite and in$nite dimensional bilinear systems. W e o serve b that realizing a given Volterra series with various weights leada naturally to a particularly interesting class of bilinear syeteme with a rich mathematical structure. We are able to use certain results on the 8h.ijt realization of linear systems to arrive at a s-u&fable an&g of shift realizations for bilinear realizations. 'J Li co

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This paper is concerned with the nonisomorphic classes of the inhomogeneous bilinear realizations with unknown initial state. A necessary and sufficient condition is given for the factorizability of the generalized Hanket matrix into the specified torm. And then a new realizability condition for in

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The minimal realization theory for input-output map8 that arise from finitedimensional, continuous time, bilinear systems is discussed. It is shown that an observed bilinear system (i.e. a bilinear system together with an observation functional, but without a Jixed initial state) is completely deter