A norm-preserving GSVD construction converts non-affine nonlinear control inputs into an LTI-like Koopman form with constant A and B, delivering computable H∞ certificates in the original input norm for reduced models of high-dimensional nonlinear systems.
Mathematical description of linear dynamical systems
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In deterministic partially observable worlds, perfect prediction requires either identifying the relevant hidden quotient or achieving overwrite control, while high empowerment alone is insufficient.
The observability and controllability Gramians parameterized by sensor and actuator node subsets are determinantal point processes.
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Gramians for a New Class of Nonlinear Control Systems Using Koopman and a Novel Generalized SVD
A norm-preserving GSVD construction converts non-affine nonlinear control inputs into an LTI-like Koopman form with constant A and B, delivering computable H∞ certificates in the original input norm for reduced models of high-dimensional nonlinear systems.
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Prediction and Empowerment: A Theory of Agency through Bridge Interfaces
In deterministic partially observable worlds, perfect prediction requires either identifying the relevant hidden quotient or achieving overwrite control, while high empowerment alone is insufficient.
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Connections Between Determinantal Point Processes and Gramians in Control
The observability and controllability Gramians parameterized by sensor and actuator node subsets are determinantal point processes.