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Realization of bilinear stochastic systems

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1 Author(s)
Desai, Uday B. ; Washington State University, Pullman, WA, USA

This note considers the problem of realization of bilinear stochastic systems (BLSR). First an explicit statement for the BLSR problem is presented. Next a realization algorithm is developed. In this algorithm the state vector is picked as a basis in the subspace obtained by projecting an appropriately defined past vector onto an appropriately defined future vector. Also, the realization algorithm involves solving a matrix nonlinear equation which is akin to the algebraic Riccati equation, except for one additional term.

Published in:

Automatic Control, IEEE Transactions on  (Volume:31 ,  Issue: 2 )

Date of Publication:

Feb 1986

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