A multiparametric algorithm provides explicit solutions to finite and infinite-horizon constrained dynamic games, making game-theoretic MPC feasible for moderate-sized multi-agent systems at high sampling rates.
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A canonical structure via linear transformation enables projected first-order algorithms with delayed feedback to reach the optimum at the same rate as their unconstrained versions.
Nonlinearly preconditioned gradient flows admit global solutions with sublinear or exponential convergence and are dual to mirror descent, solving an infinite-horizon optimal control problem whose value function is the Bregman divergence of the cost.
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The explicit game-theoretic linear quadratic regulator for constrained multi-agent systems
A multiparametric algorithm provides explicit solutions to finite and infinite-horizon constrained dynamic games, making game-theoretic MPC feasible for moderate-sized multi-agent systems at high sampling rates.
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A Canonical Structure for Constructing Projected First-Order Algorithms With Delayed Feedback
A canonical structure via linear transformation enables projected first-order algorithms with delayed feedback to reach the optimum at the same rate as their unconstrained versions.
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Nonlinearly preconditioned gradient flows
Nonlinearly preconditioned gradient flows admit global solutions with sublinear or exponential convergence and are dual to mirror descent, solving an infinite-horizon optimal control problem whose value function is the Bregman divergence of the cost.