In this chapter, we consider nonautonomous systems. Lurie control systems are mainly autonomous systems. Thus, the Lurie method or Popov method was developed for single-variable autonomous systems, which are very difficult to be used to study nonautonomous systems. However, many practical systems contain time-variant parameters though they usually vary slowly. Stability of time-variant systems has been a relatively difficult problem in control systems and dynamical systems, and has less results compared to that of autonomous systems. The results presented in this chapter are mainly taken from [67, 86] for Sects. 6.1–6.4, and from [67, 105] for Sect. 6.5.
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© 2008 Springer Science + Business Media B.V
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(2008). Nonautonomous Systems. In: Absolute Stability of Nonlinear Control Systems. Mathematical Modelling: Theory and Applications, vol 25. Springer, Dordrecht. https://doi.org/10.1007/978-1-4020-8482-9_6
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DOI: https://doi.org/10.1007/978-1-4020-8482-9_6
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