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Lecture Notes in Control and Information Sciences

Directions in Mathematical Systems Theory and Optimization

Editors: Rantzer, Anders, Byrnes, Christopher I. (Eds.)

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About this book

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 fundamental work on optimal control for stochastic systems with time lags. He continued his interest in feedback control by deriving optimal and robust control feedback laws for suppressing the effects of harmonic disturbances. Moreover, his recent work on a complete parameterization of all rational solutions to the Nevanlinna-Pick problem is providing a new approach to robust control design.

Table of contents (26 chapters)

  • Systems with Lebesgue Sampling

    Åström, Karl Johan (et al.)

    Pages 1-13

  • Acoustic Attenuation Employing Variable Wall Admittance

    Banks, H. T. (et al.)

    Pages 15-26

  • Some Remarks on Linear Filtering Theory for Infinite Dimensional Systems

    Bensoussan, Alain

    Pages 27-39

  • A Note on Stochastic Dissipativeness

    Borkar, Vivek S. (et al.)

    Pages 41-49

  • Internal Model Based Design for the Suppression of Harmonic Disturbances

    Byrnes, Christopher I. (et al.)

    Pages 51-70

Buy this book

eBook $179.00
price for USA in USD (gross)
  • ISBN 978-3-540-36106-0
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $229.00
price for USA in USD
  • ISBN 978-3-540-00065-5
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Directions in Mathematical Systems Theory and Optimization
Editors
  • Anders Rantzer
  • Christopher I. Byrnes
Series Title
Lecture Notes in Control and Information Sciences
Series Volume
286
Copyright
2003
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-540-36106-0
DOI
10.1007/3-540-36106-5
Softcover ISBN
978-3-540-00065-5
Series ISSN
0170-8643
Edition Number
1
Number of Pages
XIII, 391
Topics