Finite-Time Stabilization of Nonlinear Systems With Parametric and Dynamic Uncertainties

By Yiguang Hong, Zhong-Ping Jiang. IEEE Transactions on Automatic Control, 2006

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Nonsingular fast terminal sliding‐mode control for nonlinear dynamical systems (2011, unknown): “Lemma 1 (Jensens inequality [25, 26]) ( m ∑ i=1 2 i )1/ 2 ( m ∑ i=1 1 i )1/ 1 , 0< 1< 2 (14)”
Fixed-time backstepping control design for high-order strict-feedback non-linear systems via terminal sliding mode (2017, background): “Then non-smooth finite-time stabilisation control of non-linear systems with parametric and dynamic uncertainties was proposed in [7].”
Nonlinear Feedback Design for Fixed-Time Stabilization of Linear Control Systems (2012, background): “Some design procedures of local finite-time controllers can be found, for example, in [16] or [14].”
Time-varying feedback for regulation of normal-form nonlinear systems in prescribed finite time (2017, background): “Homogeneous finite time local control for triangular systems and a certain class of nonlinear systems was developed by Hui, Haddad, and Bhat (2008), Hong (2002), Hong and Jiang (2006a); Hong, Wang, and Cheng (2006b).”