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Coordinated optimal target realization for linear systems allowing choice‐based actions
Authors:Ge Guo  Zhongchang Liu  Wing Shing Wong
Affiliation:1. School of Information Science and Technology, Dalian Maritime University, Dalian, China;2. Department of Information Engineering, The Chinese University of Hong Kong, Shatin, N.T., Hong Kong;3. Shenzhen Research Institute, The Chinese University of Hong Kong, Shenzhen, China
Abstract:This paper studies target‐reaching problems for systems controlled by multiple agents in which every agent implements control based on the choice selected independently from a private choice set. The agents' choices jointly determine the system target to be reached, and all the possible choice combinations define a set of targets to be reached. Without exchanging choice information among the agents, the existence of a set of control laws to realize all the targets in a given target set is a nontrivial question. For linear systems, the necessary and sufficient condition is shown hinged on a compatibility condition on the target set. Under the compatible condition, coordinated optimal control laws are derived such that any target in the target set can be achieved. Copyright © 2015 John Wiley & Sons, Ltd.
Keywords:choice‐based actions  joint target realization  coordinated optimal control  linear systems
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