Bulletin of the American Mathematical Society

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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, $59.50, 0-89871-440-0

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, -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

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

MSC (2000): Primary 93B36
DOI: 10.1090/S0273-0979-00-00884-3
PII: S 0273-0979(00)00884-3
Posted: October 2, 2000
Copyright of article: Copyright 2000, American Mathematical Society

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ISSN 1088-9485(e) ISSN 0273-0979(p)

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