arXiv subjects

Jonas Mair

Publications and source records attributed to Jonas Mair.

2 recordsLinked to original sources

arXiv2026

On stability and non-averaged performance of economic MPC with terminal conditions for optimal periodic operation

Operation at steady state is often not optimal when optimizing over an economic cost objective. In many cases, periodic operation yields better performance. Therefore, we derive asymptotic stability guarantees of an economic model predictive control scheme with terminal conditions for systems with optimal periodic operation for a more general setup than existing methods can handle. Moreover, we establish a non-averaged closed-loop performance bound by defining the closed-loop cost via a Ces\`aro summation instead of ordinary summation. Such a non-averaged performance bound provides new insights for systems with periodic optimal operation.

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arXiv2025

The Ces\`aro Value Iteration

In this paper, we consider undiscouted infinite-horizon optimal control for deterministic systems with an uncountable state and input space. We specifically address the case when the classic value iteration does not converge. For such systems, we use the Ces`aro mean to define the infinite-horizon optimal control problem and the corresponding infinite-horizon value function. Moreover, for this value function, we introduce the Ces\`aro value iteration and prove its convergence for the special case of systems with periodic optimal operating behavior. For this instance, we also show that the Ces\`aro value function recovers the undiscounted infinite-horizon optimal cost, if the latter is well-defined.

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