Global stabilization of a class of upper‐triangular systems with unbounded or uncontrollable linearizations

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Adaptive Neural Networks Finite-Time Optimal Control for a Class of Nonlinear Systems (2019, background): “In view of the inequality |ma − na| ≤ 21−a|m − n|a , where a is a ratio of positive odd integers and 0 < a < 1 [19], the following inequality holds: gi−1(χ)ξ(2υ−ri−1−τ )/υ i−1 χ pi−1 i − (χ∗ i )pi−1 = gi−1(χ)ξ(2υ−ri−1−τ )/υ i−1 χ υ/ri i pi−1ri /υ”
Output feedback control for a class of stochastic high‐order nonlinear systems with time‐varying delays (2014, background): “Some output feedback stabilization results have been given without the stochastic nonlinear terms in [1–5] and the references therein.”
Finite‐time output feedback stabilization of nonlinear high‐order feedforward systems (2016, background): “Naturally, this motivates us to consider the following interesting problem: When pi > 1, can a global finite-time output feedback controller be designed for nonlinear feedforward system (1)? Compared with finite-time state feedback stabilization in [30], there are two main obstacles in solving this ”