ABSTRACT In this paper, stabilizability of first order nonlinear systems by a smooth control law is investigated. The main results are presented by the examples and finally summarized in a lemma. The proof for the lemma is according to Sontag’s formula. In addition, it is explained that using weak control Lyapunov functions in Sontag’s formula generates (possibly nonsmooth) the control law, which globally stabilizes the system-globally asymptotic stability needs more investigation.
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nullA. Shahmansoorian, "Continuous Stabilizing of First Order Single Input Nonlinear Systems," Intelligent Control and Automation, Vol. 2 No. 3, 2011, pp. 182-185. doi: 10.4236/ica.2011.23022.
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