An Operator Approach to Viable Attainability of Hybrid Systems 
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.
KeywordsHybrid System Sampling Interval Attainability Operator Attainability Relation Attainability Problem
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