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Titlebook: Directions in Mathematical Systems Theory and Optimization; Anders Rantzer,Christopher I. Byrnes Conference proceedings 2003 Springer-Verl

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发表于 2025-3-21 16:21:21 | 显示全部楼层 |阅读模式
书目名称Directions in Mathematical Systems Theory and Optimization
编辑Anders Rantzer,Christopher I. Byrnes
视频video
概述Includes supplementary material:
丛书名称Lecture Notes in Control and Information Sciences
图书封面Titlebook: Directions in Mathematical Systems Theory and Optimization;  Anders Rantzer,Christopher I. Byrnes Conference proceedings 2003 Springer-Verl
描述For more than three decades, Anders Lindquist has delivered fundamental cont- butions to the ?elds of systems, signals and control. Throughout this period, four themes can perhaps characterize his interests: Modeling, estimation and ?ltering, feedback and robust control. His contributions to modeling include seminal work on the role of splitting subspaces in stochastic realization theory, on the partial realization problem for both deterministic and stochastic systems, on the solution of the rational covariance extension problem and on system identi?cation. His contributions to ?ltering and estimation include the development of fast ?ltering algorithms, leading to a nonlinear dynamical system which computes spectral factors in its steady state, and which provide an alternate, linear in the dimension of the state space, to computing the Kalman gain from a matrix Riccati equation. His further research on the phase portrait of this dynamical system gave a better understanding of when the Kalman ?lter will converge, answering an open question raised by Kalman. While still a student he established the separation principle for stochastic function differential equations, including some fu
出版日期Conference proceedings 2003
关键词Analysis; Signal; Transformation; algorithm; algorithms; computer-aided design (CAD); model; modeling; opera
版次1
doihttps://doi.org/10.1007/3-540-36106-5
isbn_softcover978-3-540-00065-5
isbn_ebook978-3-540-36106-0Series ISSN 0170-8643 Series E-ISSN 1610-7411
issn_series 0170-8643
copyrightSpringer-Verlag Berlin Heidelberg 2003
The information of publication is updating

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发表于 2025-3-21 21:56:27 | 显示全部楼层
Alois Niederstätter,Rainer J. Schweizerus a strong feedback free condition on (., .) and (., .), or, equivalently, splitting plus this condition, is equivalent to the existence of a stochastic realization for the joint process (., ., .) in the special class of so-called conditionally orthogonal stochastic realizations.
发表于 2025-3-22 01:41:02 | 显示全部楼层
Conditional Orthogonality and Conditional Stochastic Realization,us a strong feedback free condition on (., .) and (., .), or, equivalently, splitting plus this condition, is equivalent to the existence of a stochastic realization for the joint process (., ., .) in the special class of so-called conditionally orthogonal stochastic realizations.
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Linear System Identification as Curve Fitting,assical spectral analysis, while the prediction error/maximum likelihood framework corresponds to global parametric methods. The role of the noise model in dynamic models is also illuminated from this perspective.
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Fakultät für Architektur und Raumplanunge computed first as the optimum of a multi-dimensional constrained minimization, then a direct approach for solving the optimization problem will be presented. Finally, we briefly indicate that the results above can be extended to multivariate stochastic systems.
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