Nonsquare Spectral Factors of Nonlinear Control Systems in terms of Inner-Inner Factorizations

@article{Petersen2004NonsquareSF,
  title={Nonsquare Spectral Factors of Nonlinear Control Systems in terms of Inner-Inner Factorizations},
  author={Mark Adam Petersen},
  journal={SIAM J. Control and Optimization},
  year={2004},
  volume={43},
  pages={831-855}
}
This paper considers nonsquare spectral factors of nonlinear input affine state space control systems in continuous time. More specifically, we obtain a parametrization of nonsquare spectral factors in terms of a special class of inner-inner factorizations. Explicit formulas for different classes of spectral factors and related inner systems in terms of solutions of Hamilton–Jacobi equations are provided. Furthermore, the important notion of a minimal inner embedding for nonlinear control… CONTINUE READING