Robust stabilization of nonlinear systems with pointwise norm-bounded uncertainties: a control Lyapunov function approach

@article{Battilotti1999RobustSO,
  title={Robust stabilization of nonlinear systems with pointwise norm-bounded uncertainties: a control Lyapunov function approach},
  author={Stefano Battilotti},
  journal={IEEE Trans. Autom. Control.},
  year={1999},
  volume={44},
  pages={3-17}
}
  • S. Battilotti
  • Published 1999
  • Mathematics
  • IEEE Trans. Autom. Control.
The authors give a necessary and sufficient condition for globally stabilizing a nonlinear system, robustly with respect to unstructured uncertainties /spl Phi//spl tilde/(u,x,t), norm-bounded for each fixed x and u. This condition requires one to find a smooth, proper, and positive definite solution V(x) of a suitable partial differential inequality depending only on the system data. A procedure, based on the knowledge of V(x), is outlined for constructing almost smooth robustly stabilizing… 
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