Abstract:
Over the last few years various classes of optimal control problems for hybrid systems, with continuous and discrete states and dynamics, have been formalized. In particular, generalizing the standard Minimum Principle (MP), Sussmann and Riedinger et al., among other authors, have given versions of the Hybrid Minimum Principle (HMP). In this paper first we show how the Weierstrass-Erdmann corner conditions of calculus of variations can be recovered from the hybrid maximum principle (HMP) and then we show how a classical result in Physics, namely Snell’s law, can be obtained from HMP.
Page(s):
120-125
DOI:
DOI not available
Published:
Journal: Proceedings 5th International Bhurban Conference on Applied Sciences and Technology , Volume: 0, Issue: 0, Year: 2007