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Bulletin of the American Mathematical Society

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Book Review

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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 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

Review Information:

Reviewer: Wendell H. Fleming
Affiliation: Brown University
Journal: Bull. Amer. Math. Soc. 38 (2001), 93-96
MSC (2000): Primary 93B36
Published electronically: October 2, 2000
Review copyright: © Copyright 2000 American Mathematical Society