Nonlinear Control Sy.. - Free

4.11. EXERCISES 135
xl
±2
= x2 + xi + xz
= -2x1 - 3X2
Hint: Notice that the given dynamical equations can be expressed in the form
Ax + g(x)-
Notes and References
Good sources for the material of this chapter include References [27], [41], [88], [68],
and [95]. Section 4.5 is based on Vidyasagar [88] and Willems [95]. Perturbation analysis
has been a subject of much research in nonlinear control. Classical references on the subject
are Hahn [27] and Krasovskii [44]. Section 4.6 is based on Khalil [41].