Average Continuous Control of PDMPs

  • Oswaldo Luiz do Valle CostaEmail author
  • François Dufour
Part of the SpringerBriefs in Mathematics book series (BRIEFSMATH)


This chapter is devoted to the presentatation of some notation, basic assumptions, and the control problems to be considered in the book. In Sect. 2.2, some standard notation and some basic definitions related to the motion of a PDMP are presented. In Sect. 2.3, the definitions of ordinary and relaxed control spaces as well as some operators required for characterizing the optimality equation are presented. Some proofs of auxiliary results are presented in Sect. 2.4.


Piecewise Deterministic Markov Processes (PDMP) Relaxed Control Optimality Equation Discrete-time Problem Ordinary Control 
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Copyright information

© Oswaldo Luiz do Valle Costa, François Dufour 2013

Authors and Affiliations

  • Oswaldo Luiz do Valle Costa
    • 1
    Email author
  • François Dufour
    • 2
  1. 1.Department of Telecommunications and Control EngineeringUniversity of São PauloSão PauloBrazil
  2. 2.Universite Bordeaux 1, Institut de Mathématiques de BordeauxInstitut Polytechnique de BordeauxTalence cedexFrance

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