Robust Absolute Stability of Interval Control Systems

Strictly speaking, a mathematical model is only an approximate description of a real system since the information of the system coefficients are usually the upper and lower bounds, not the exact values [44]. In the past two decades, the stability study for linear control systems with parameters varied in a finite closed interval has been a hot topic in control society. However, not many results have been obtained for stability of nonlinear control systems with varied parameters in an interval. In this chapter, we will systematically introduce robust stability of control systems with interval varied parameters. In fact, such idea and methodology can be generalized to consider other Lurie control systems. The materials presented in this chapter are chosen from Liao et al. [85] (Sects. 8.1–8.4), and from Yu and Liao [172] (Sects. 8.5–8.9) and Liao [79].