Quadratic CLFs for Koopman bilinear systems imply constant-input stabilizability, exactly characterized by a QCQP with a convex SDP relaxation as a sufficient test.
Kernel-based error bounds of bilinear Koopman surrogate models for nonlinear data-driven control
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Exponential stability and suboptimality guarantees for discounted and undiscounted MPC under plant-model mismatch proportional to states and inputs, with uniform robustness over horizon length.
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On the Existence of Quadratic Control Lyapunov Functions for Koopman-Operator based Bilinear Systems
Quadratic CLFs for Koopman bilinear systems imply constant-input stabilizability, exactly characterized by a QCQP with a convex SDP relaxation as a sufficient test.
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Discounted MPC and infinite-horizon optimal control under plant-model mismatch: Stability and suboptimality
Exponential stability and suboptimality guarantees for discounted and undiscounted MPC under plant-model mismatch proportional to states and inputs, with uniform robustness over horizon length.