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.
KeywordsState Equation Mass Flow Rate Special System Transfer Time Adjoint Equation
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