We study the temperature control problem for Langevin diffusions in context of non-convex optimization. The classical optimal such a is bang-bang type, which overly sensitive to errors. A remedy allow explore other values and hence smooth out control. accomplish this by stochastic relaxed formulation incorporating randomization regularizing its entropy. derive state-dependent, truncated exponen...

We report on an investigation of the temperature-dependent magnetic properties magnetorheological elastomers (MREs). These are a class composites that consist magnetically permeable particles dispersed in nonmagnetic polymeric matrix. Under application external field, large deformation occurs altering mechanical these materials. Due to their magnetoelastic coupling response, materials finding i...