Convexity of the cost functional in an optimal control problem for a class of positive switched systems

摘要: Abstract This paper deals with the optimal control of a class positive switched systems. The main feature this is that switching alters only diagonal entries dynamic matrix. input represented by signal itself and problem minimizing linear combination final state variable. First, system embedded in bilinear systems variables living simplex, for each time point. result cost convex respect to variables. ensures any Pontryagin solution optimal. Algorithms find are then presented an example, taken from simplified model HIV mutation mitigation discussed.