10. Differential Games

  1. Frank L. Lewis1,
  2. Draguna L. Vrabie2 and
  3. Vassilis L. Syrmos3

Published Online: 11 JAN 2012

DOI: 10.1002/9781118122631.ch10

Optimal Control, Third Edition

Optimal Control, Third Edition

How to Cite

Lewis, F. L., Vrabie, D. L. and Syrmos, V. L. (2012) Differential Games, in Optimal Control, Third Edition, John Wiley & Sons, Inc., Hoboken, NJ, USA. doi: 10.1002/9781118122631.ch10

Author Information

  1. 1

    Department of Electrical Engineering, Automation & Robotics Research Institute, University of Texas at Arlington, Arlington, Texas, USA

  2. 2

    United Technologies Research Center, East Hartford, Connecticut, USA

  3. 3

    Department of Electrical Engineering, University of Hawaii at Manoa, Honolulu, Hawaii, USA

Publication History

  1. Published Online: 11 JAN 2012
  2. Published Print: 11 JAN 2012

ISBN Information

Print ISBN: 9780470633496

Online ISBN: 9781118122631



  • differential games, basic ideas;
  • decision and control, and performance objectives;
  • two-player zero-sum games;
  • application of zero-sum games to H control;
  • NZS multiplayer games


This chapter contains sections titled:

  • Optimal Control Derived Using Pontryagin's Minimum Principle and the Bellman Equation

  • Two-player Zero-sum Games

  • Application of Zero-sum Games to H Control

  • Multiplayer Non-zero-sum Games