Abstract
We consider the simplest design problem for nonlinear systems: the problem of rendering asymptotically stable a given equilibrium by means of feedback. For such a problem, we provide a necessary condition, known as Brockett condition, and a sufficient condition, which relies upon the definition of a class of functions, known as control Lyapunov functions. The theory is illustrated by means of a few examples. In addition we discuss a nonlinear enhancement of the so-called separation principle for stabilization by means of partial state information.
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Astolfi, A. (2021). Feedback Stabilization of Nonlinear Systems. In: Baillieul, J., Samad, T. (eds) Encyclopedia of Systems and Control. Springer, Cham. https://doi.org/10.1007/978-3-030-44184-5_85
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DOI: https://doi.org/10.1007/978-3-030-44184-5_85
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