Special Systems

  • George Leitmann
Part of the Mathematical Concepts and Methods in Science and Engineering book series (MCSENG, volume 24)


In this chapter we shall discuss various properties of an extremal control for systems of a special kind. We shall begin the discussion with so-called linear time-invariant state equations and componentwise control constraints. For such systems we introduce the notion of a switching function, already encountered earlier in connection with particular problems, whose behavior determines the nature of an extremal control. We continue with a treatment of “time-optimal” control and deduce some of its special properties; these are then illustrated in some simple examples.


State Equation Mass Flow Rate Special System Transfer Time Adjoint Equation 
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Copyright information

© Springer Science+Business Media New York 1981

Authors and Affiliations

  • George Leitmann
    • 1
  1. 1.University of CaliforniaBerkeleyUSA

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