dc.creatorCarvalho, Joao Batista da Paz
dc.creatorDatta, Karabi
dc.creatorHong, Yoopyo
dc.date2011-01-29T06:00:40Z
dc.date2003
dc.identifier0018-9286
dc.identifierhttp://hdl.handle.net/10183/27610
dc.identifier000642886
dc.descriptionA new block algorithm for computing a full rank solution of the Sylvester-observer equation arising in state estimation is proposed. The major computational kernels of this algorithm are: 1) solutions of standard Sylvester equations, in each case of which one of the matrices is of much smaller order than that of the system matrix and (furthermore, this small matrix can be chosen arbitrarily), and 2) orthogonal reduction of small order matrices. There are numerically stable algorithms for performing these tasks including the Krylov-subspace methods for solving large and sparse Sylvester equations. The proposed algorithm is also rich in Level 3 Basic Linear Algebra Subroutine (BLAS-3) computations and is thus suitable for high performance computing. Furthermore, the results on numerical experiments on some benchmark examples show that the algorithm has better accuracy than that of some of the existing block algorithms for this problem.
dc.formatapplication/pdf
dc.languageeng
dc.relationIEEE transactions on automatic control. New York. Vol. 48, no. 12 (dec. 2003), p. 2223-2228
dc.rightsOpen Access
dc.subjectAlgoritmos
dc.subjectBlock algorithm
dc.subjectSylvester-observer equation
dc.subjectState estimation
dc.titleA new block algorithm for full-rank solution of the Sylvester-observer equation
dc.typeArtigo de periódico
dc.typeEstrangeiro


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