期刊
IEEE CONTROL SYSTEMS LETTERS
卷 3, 期 4, 页码 889-894出版社
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/LCSYS.2019.2918757
关键词
Entrainment; switched systems; airport security; ribosome flow model; traffic systems
资金
- Defense Advanced Research Projects Agency [FA8650-18-1-7800]
- NSF [1817936]
- Air Force Office of Scientific Research [FA9550-14-1-0060]
- Israel Science Foundation
- U.S.-Israel Binational Science Foundation
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 inflow rate with a given mean value that maximizes the averaged outflow rate of the system. We compare two strategies: 1) switching between a high and low value and 2) using a constant inflow equal to the prescribed mean value. We show that no switching policy can outperform a constant inflow rate, though it can approach it asymptotically. We describe several potential applications of this problem in traffic systems, ribosome flow models, and scheduling at security checks.
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