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Astolfi A, Karagiannis D, Ortega R. Nonlinear and Adaptive Control With Applications. Berlin: Springer, 2007
Zhang J, Liu Y G. A new approach to adaptive control design without overparametrization for a class of uncertain nonlinear systems. Sci China Inf Sci, 2011, 54: 1419–1429
Chen C C, Qian C J, Lin X Z, et al. Smooth output feedback stabilization for a class of nonlinear systems with time-varying powers. Int J Robust Nonlinear Control, 2017, 27: 5113–5128
Su Z G, Qian C J, Shen J. Interval homogeneity-based control for a class of nonlinear systems with unknown power drifts. IEEE Trans Autom Control, 2017, 62: 1445–1450
Man Y C, Liu Y G. Global adaptive stabilization and practical tracking for nonlinear systems with unknown powers. Automatica, 2019, 100: 171–181
Miller D E, Davison E J. An adaptive controller which provides an arbitrarily good transient and steady-state response. IEEE Trans Autom Control, 1991, 36: 68–81
Wang M Q, Liu Y G, Man Y C. Switching adaptive controller for the nonlinear systems with uncertainties from unknown powers. IEEE Trans Syst Man Cybern Syst, 2018. doi: https://doi.org/10.1109/TSMC.2018.2814345
Hale J K. Ordinary Differential Equations. 2nd ed. Malabar: Krieger Publishing Company, 1980
This work was supported by National Natural Science Foundation of China (Grant Nos. 61603217, 61703237, 61873146), Taishan Scholars Climbing Program of Shandong Province, and Fundamental Research Funds of Shandong University.
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Man, Y., Liu, Y. Global adaptive stabilization for planar nonlinear systems with unknown input powers. Sci. China Inf. Sci. 64, 199204 (2021). https://doi.org/10.1007/s11432-018-9774-y