Q-learning error is recast as a switched linear recursion whose exponential rate is exactly the joint spectral radius of a direct switching family, yielding finite-time bounds via a product-defined Lyapunov function.
Stability and stabilizability of switched linear systems: A survey of recent results.IEEE Transactions on Automatic control, 54(2):308–322, 2009
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Lyapunov-Certified Direct Switching Theory for Q-Learning
Q-learning error is recast as a switched linear recursion whose exponential rate is exactly the joint spectral radius of a direct switching family, yielding finite-time bounds via a product-defined Lyapunov function.