Abstract

Abstract This paper treats the multilevel hierarchical control problem of multicontroller distributed-parameter systems, using the Stackelberg optimality criterion. Both continuous-time and discrete-time systems, linear as well as non-linear, are considered. Two-level hierarchies with one coordinator and many second-level controllers, and linear multilevel hierarchical structures are studied. Solution equations for open-loop, feedback, and closed-loop Stackelberg control strategies are derived and discussed.

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