Q-learning with linear function approximation is recast as a switched linear system whose mean dynamics converge precisely when the joint spectral radius of the switching matrices is less than one.
Finite-time analysis of as ynchronous stochastic approxima- tion and Q-learning
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A Switching System Theory of Q-Learning with Linear Function Approximation
Q-learning with linear function approximation is recast as a switched linear system whose mean dynamics converge precisely when the joint spectral radius of the switching matrices is less than one.