Yet,the confrontation of reliability with control theory looks very promising.In this paper,it led to the formal definition of
coupled design and maintenance problems without restrictive hypotheses on the aging of the system with time,nor on the
effects of maintenance.While stochastic viability was used,other branches of control theory maybe relevant to such design and maintenance problems,both in the closed- and open-loop cases.
In fact some works are very close to viability theory,such as the invariance framework [37] or reach-avoid problems inprobabilistic hybrid systems,e.g. [41,42]. They may help in the formulation and/or there solution of time-variant reliability problems.Conversely,reliability may be instrumental in solving control problems. For instance,it is necessary to know PðXðt; yðtÞÞASðtÞÞ in viability problems,but this knowledge may not be easy to get.
Time-invariant reliability methods may then provide efficient approximations of these probabilities.