Coordinated optimal target realization for linear systems allowing choice‐based actions

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.