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We introduce a generalized framework for model predictive control (MPC) based on the repetitive utilization of finite horizon open loop optimal control (OLOC) with a current- state-dependent terminal constraint set and cost function (and control law). We employ continuously indexed terminal constraint sets, cost functions and control laws, and we allow for their (joint with the predicted state and...
Synthesis methods for the construction of invariant sets for delay difference equations (DDEs) suffer either from computational complexity, i.e., those based on the Krasovskii approach, or come with considerable conservatism, i.e., those based on the Razumikhin approach. This paper utilizes the concepts of vector Lyapunov functions and set-dynamics in order to introduce a novel notion of invariance...
This paper discusses set invariance notions for decentralized discrete time systems which are physically inter-connected. We employ independent set-dynamics induced by the underlying subsystems subject to the available information in the decentralized setting. The main novelty of the approach lies within the fact that the concept of set invariance for independent set-dynamics is formalized by employing...
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