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math.DS2026
Convergence of an algorithm for constructing Lyapunov functions for switched systems using meshfree collocation
Jay Ward, Nicos Georgiou, Peter Giesl
Switched systems are a class of dynamical systems where trajectories switch between different systems based on a switching rule. This rule can depend on time and/or the position of…
math.DS2026
Construction of Lyapunov Functions for Switched Systems using Meshfree Collocation
Jay Ward, Nicos Georgiou, Peter Giesl
Switched systems are a family of dynamical systems where a switching rule indicates which system is "switched on". This rule can be dependent on time and/or position in the state s…
math.PR2026
Hydrodynamic limits for TASEP with space-time discontinuities
Jacob Butt, Nicos Georgiou, Enrico Scalas
We develop a hydrodynamic theory for a height-dependent version of the totally asymmetric simple exclusion process in which the jump rate at a growth site is sampled from a macrosc…