On partial stabilization of nonlinear autonomous systems: Sufficient conditions and examples

@article{Zuyev2001OnPS,
  title={On partial stabilization of nonlinear autonomous systems: Sufficient conditions and examples},
  author={A. L. Zuyev},
  journal={2001 European Control Conference (ECC)},
  year={2001},
  pages={1918-1922}
}
The problem of partial stabilization is considered for autonomous affine control system. The result on sufficient condition for partial stabilizability is proved, provided that open-loop system admits Lyapunov function with nonpositive lower bounds of derivatives. The result proposed is applied for solving the problem of single-axis stabilization of a rigid body. Two cases are considered. In the first case the control is implemented by jet engines, while in the second one the satellite is… CONTINUE READING