A unified transfer operator formulation for uncertainty propagation in stochastic hybrid systems on manifolds with guard resets, including a mass-preserving finite volume computational scheme.
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The paper establishes convergence properties and sufficient conditions for two-timescale asymptotic simulations of hybrid inclusions and shows that a stochastic hybrid optimization algorithm asymptotically recovers its deterministic counterpart.
The work establishes global practical stability for event-based impulsive control with neuronal LIF units by mapping discontinuities to an equivalent analogue closed-loop system that is assumed ISS or stable.
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Transfer Operators for Stochastic Hybrid Systems on Manifolds with Guard-Induced Resets
A unified transfer operator formulation for uncertainty propagation in stochastic hybrid systems on manifolds with guard resets, including a mass-preserving finite volume computational scheme.