Nonsmooth Analysis in Systems and Control Theory

  title={Nonsmooth Analysis in Systems and Control Theory},
  author={Francis Clarke},
  booktitle={Encyclopedia of Complexity and Systems Science},
Generalized gradients and subgradients These terms refer to various setvalued replacements for the usual derivative which are used in developing differential calculus for functions which are not differentiable in the classical sense. The subject itself is known as nonsmooth analysis. One of the best-known theories of this type is that of generalized gradients. Another basic construct is the subgradient, of which there are several variants. The approach also features generalized tangent and… CONTINUE READING