Abstract: We introduce an algorithm for synthesizing and verifying piecewise linear Lyapunov functions to prove global exponential stability of piecewise linear dynamical systems. The Lyapunov ...

Abstract: Students’ diverse cognitive functions play a pivotal role in shaping their problem-solving behaviors, emphasizing the need to identify and cultivate these abilities to enhance learning ...

In this paper, we study the pure exploration model with general distribution functions, which means that the reward function of each arm depends on the whole distribution, not only its mean. We adapt ...

This paper presents a time-domain formulation called Explicit Green's approach (ExGA) linear θ method for the solution of the bioheat equation. Starting from the hyperbolic bioheat equation, which ...