3. Optimal Control of Continuous-Time Systems

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

Published Online: 11 JAN 2012

DOI: 10.1002/9781118122631.ch3

Optimal Control, Third Edition

Optimal Control, Third Edition

How to Cite

Lewis, F. L., Vrabie, D. L. and Syrmos, V. L. (2012) Optimal Control of Continuous-Time Systems, in Optimal Control, Third Edition, John Wiley & Sons, Inc., Hoboken, NJ, USA. doi: 10.1002/9781118122631.ch3

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



  • continuous-time systems;
  • optimal control for systems;
  • minimum-time intercept control law;
  • linear time-varying plant;
  • design of steady-state regulators


This chapter contains sections titled:

  • The Calculus of Variations

  • Solution of the General Continuous-Time Optimization Problem

  • Continuous-Time Linear Quadratic Regulator

  • Steady-State Closed-Loop Control and Suboptimal Feedback

  • Frequency-Domain Results

  • Problems