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Bulletin of the American Mathematical Society
Bulletin of the American Mathematical Society
ISSN 1088-9485(e) ISSN 0273-0979(p)

     

Book Review

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Book Information

Author(s): 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., $59.50, ISBN 0-89871-440-0


References:

1.
M. Bardi and I. Capuzzo-Dolcetta, Optimal Control and Viscosity Solutions of Hamilton-Jacobi-Bellman Equations, Birkhauser, Boston, 1997. MR 99e:49001

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 96f:93002

3.
J. Doyle, B.A. Francis and A. Tannenbaum, Feedback Control Theory, Macmillan Publ. Co., New York, 1992. MR 93k:93002

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 97e:93002

7.
P. Whittle, Optimal Control: Basics and Beyond, John Wiley and Sons, Chichester, England, 1996. MR 98b:49001


Additional Information:

Reviewer(s):
Wendell H. Fleming
Affiliation: Brown University
Email: whf@cfm.brown.edu

Review Information:
Journal: Bull. Amer. Math. Soc. 38 (2001), 93-96.

MSC (2000): Primary 93B36
PII: S 0273-0979(00)00884-3
Posted: October 2, 2000
Copyright of article: Copyright 2000, American Mathematical Society




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