Analysis and control of nonsmooth dynamical systems

Abstract

Mainstream systems and control theory have been built in the realm of the smooth world. As such, modeling, analysis, and synthesis of smooth control systems take lion’s share of the entire literature of systems and control theory. However, one often encounters nonsmooth phenomenon in various branches of science and engineering. Besides this variety of context, the way that nonsmoothness arises varies in a wide range. Sometimes, for instance, nonsmoothness is due to the intrinsic abrupt changes in the dynamics. Sometimes, though, it emerges as a consequence of ideal modeling of fast dynamics as sudden changes or approximating nonlinearities with piecewise linear characteristics. [...]