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Bulletin of the American Mathematical Society

The Bulletin publishes expository articles on contemporary mathematical research, written in a way that gives insight to mathematicians who may not be experts in the particular topic. The Bulletin also publishes reviews of selected books in mathematics and short articles in the Mathematical Perspectives section, both by invitation only.

ISSN 1088-9485 (online) ISSN 0273-0979 (print)

The 2020 MCQ for Bulletin of the American Mathematical Society is 0.84.

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Book Review

The AMS does not provide abstracts of book reviews. You may download the entire review from the links below.


Full text of review: PDF   This review is available free of charge.
Book Information:

Authors: J. W. Helton and M. R. James
Title: Extending $H_{\infty}$ control to nonlinear systems
Additional book information: Frontiers in Applied Mathematics, SIAM, 1999, xiv+332 pp., ISBN 0-89871-440-0, $59.50$

References [Enhancements On Off] (What's this?)

1.
M. Bardi and I. Capuzzo-Dolcetta, Optimal Control and Viscosity Solutions of Hamilton-Jacobi-Bellman Equations, Birkhauser, Boston, 1997. MR 1484411
2.
T. Basar and P. Bernhard, $H_{\infty}$-Optimal Control and Related Minimax Design Problems: A Dynamic Game Approach, Birkhauser, Boston, 1995 (2nd Ed.) MR 1353236
3.
J. Doyle, B.A. Francis and A. Tannenbaum, Feedback Control Theory, Macmillan Publ. Co., New York, 1992. MR 1200235
4.
M. Green and D.J.N. Limebeer, Linear Robust Control, Prentice-Hall, Englewood Cliffs, N.J., 1995.
5.
J.W. Helton, J. Ball, C. Johnson and C. Palmer, Operator Theory, Analytic Functions, Matrices and Electrical Enginering, Regional Conference Series in Math. vol 68, Amer. Math. Soc., 1987. MR 89f:47001
6.
A.J. van der Schaft, $L_2$-gain and Passivity Techniques in Nonlinear Control, Springer-Verlag, New York, 1996. MR 1402474
7.
P. Whittle, Optimal Control: Basics and Beyond, John Wiley and Sons, Chichester, England, 1996. MR 1416566

Review Information:

Reviewer: Wendell H. Fleming
Affiliation: Brown University
Email: whf@cfm.brown.edu
Journal: Bull. Amer. Math. Soc. 38 (2001), 93-96
Published electronically: October 2, 2000
Review copyright: © Copyright 2000 American Mathematical Society