Exact LTI Koopman models for nonlinear control systems require affine linear dynamics under controllability and coordinate inclusion assumptions.
Kernel-based Koopman approximants for control: Flexible sampling, error analysis, and stability
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2026 2verdicts
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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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Limitations of LTI Koopman Modeling for Nonlinear Control Systems
Exact LTI Koopman models for nonlinear control systems require affine linear dynamics under controllability and coordinate inclusion assumptions.
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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.