Introduces multiplicative stochastic barrier functions within a switched-system framework to certify probabilistic bounds on constrained occupation times for stochastic discrete-time systems.
Advances in Neural Information Processing Systems36, 47849–47873 (2023) Appendix Corollary 1 (Infinite-Horizon Lower Bounds).Consider the setup of Theorem 2 withα >1
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Quantitative Verification of Constrained Occupation Time for Stochastic Discrete-time Systems
Introduces multiplicative stochastic barrier functions within a switched-system framework to certify probabilistic bounds on constrained occupation times for stochastic discrete-time systems.