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A Minimax Optimal Controller for Positive Systems
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A Minimax Optimal Controller for Positive Systems
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We present an explicit solution to the discrete-time Bellman equation for minimax optimal control of positive systems under unconstrained disturbances. The primary contribution of our result relies on deducing a bound for the disturbance penalty, which characterizes the existence of a finite solution to the problem class. Moreover, this constraint on the disturbance penalty reveals that, in scenarios where a solution is feasible, the problem converges to its equivalent minimization problem in the absence of disturbances.
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Cited by 1 Pith paper
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Minimax adaptive control for finite sets of positive linear systems
Explicit minimax adaptive policies stabilize finite sets of positive LTI plants under adversarial disturbances with certified ℓ1-gain, via a history-variable Bellman inequality.
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