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We consider a nonlinear SISO system that is a cascade of a scalar “bottleneck entrance” and an arbitrary Hurwitz positive linear system. This system entrains, i.e., in response to a T-periodic inflow every solution converges to a unique T-periodic solution of the system. We study the problem of maximizing the averaged throughput via controlled switching. The objective is to choose a periodic inflo...

No Switching Policy Is Optimal for a Positive Linear System With a Bottleneck Entrance