Optimal Feedback Control for Dynamical Systems with One or Two Controllers

  • G. Leitmann
Part of the International Centre for Mechanical Sciences book series (CISM, volume 261)


This chapter contains a discussion of conditions that must be satisfied in order that a dynamical system be “controlled” in an “optimal” fashion. In particular, the treatment is restricted to systems governed by ordinary differential equations involving functions that are to be chosen so as to control the system’s response in a desired fashion. In the case of a single controller, the desired goal is attainment of the minimum of a prescribed functional; in the case of two controllers, the desired goal is attainment of a saddlepoint of a prescribed functional. In either case, the choice of the optimal control value at a given instant is based on the system’s current state; that is, we deal with necessary conditions for optimal state-feedback control.


Feedback Control Performance Index Optimal Trajectory Differential Game Optimal Feedback Control 
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Copyright information

© Springer-Verlag Wien 1980

Authors and Affiliations

  • G. Leitmann
    • 1
  1. 1.University of CaliforniaBerkeleyUSA

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