An Operator Approach to Viable Attainability of Hybrid Systems [59]

  • G. LabinazEmail author
  • M. Guay
Part of the Intelligent Systems, Control and Automation: Science and Engineering book series (ISCA, volume 55)


Can we reach a target while still satisfying viability?

In this chapter, the controllability operator approach to viability of hybrid systems is extended to consider the problems of attainability and viable attainability. In each case, a relation is defined that captures the hybrid system’s behaviour over sampling intervals. Corresponding operators, the attainability operator and the time-independent viable attainability operator, are defined over the entire time interval of existence. This provides a unified approach to three constraint problems of hybrid systems. The development for attainability and viable attainability is examined through a three fluid filled tank example.


Hybrid System Sampling Interval Attainability Operator Attainability Relation Attainability Problem 
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Copyright information

© Springer Science+Business Media B.V. 2012

Authors and Affiliations

  1. 1.Department of Chemical EngineeringQueen’s UniversityKingstonCanada
  2. 2.Department of Chemical EngineeringQueen’s UniversityKingstonCanada

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