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Optimization of generalized solutions of nonlinear hybrid (discrete-continuous) systems

  • Boris M. Miller
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 1386)

Abstract

The optimal control problem for hybrid (discrete-continuouis) system is considered in the case when the continuous behavior can be controled and discontinuities arise when the system achives the boundary of some set. We suppose that discontinuities can be considered as a result of some impulsive inputs, which can be represented in feedback form as the intermediated conditions. Meanwhile, variuos types of irregulariries such as: nonextandability of solution or sliding mode can arise. However, if the jumps of solution are described by some shift operator, as for hybrid system satisfying the robustness condition, one can reduce this problem to the standard problem of nonsmooth optimization and the representation of solution by differential equation with a measure and the existence theorem for optimal solution can be obtained.

Keywords

Optimal Control Problem Hybrid System Auxiliary Problem Admissible Control Feedback Form 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 1998

Authors and Affiliations

  • Boris M. Miller
    • 1
  1. 1.Institute for Information Transmission ProblemsRussian Academy of SciencesMoscowRussia

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