Adaptive control of nonlinearly parameterized systems: the smooth feedback case

By Wei Lin, Chunjiang Qian. IEEE Transactions on Automatic Control, 2002

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Decentralized Adaptive Fuzzy Secure Control for Nonlinear Uncertain Interconnected Systems Against Intermittent DoS Attacks (2019, neutral): “Assumption 2 is also reasonable according to separation technique [32].”
A DSC Approach to Robust Adaptive NN Tracking Control for Strict-Feedback Nonlinear Systems (2008, methodology): “Lemma 1 [24]: For any given real continuous function f(x) with f(0) = 0, if the continuous function separation technique [39] and the RBF NN approximation technique are used, then f(x) can be denoted as”
Approximation-based control of nonlinear MIMO time-delay systems (2007, methodology): “…were used with backstepping to obtain a robust controller for a class of single-input single-output (SISO) nonlinear time-delay systems with known bounds on the functions of delayed states, but it was commented that the results could not be constructively obtained (Zhou, Feng, & Nguang, 2002).”
Adaptive Neural Control of Pure-Feedback Nonlinear Time-Delay Systems via Dynamic Surface Technique (2011, background): “Lemma 2 [47]: For any continuous function h(ζ1, .”
Continuous finite‐time state feedback stabilizers for some nonlinear stochastic systems (2015, background): “1 in [25], there exist nonnegative, nondecreasing, smooth functions b1.”
State-Feedback Stabilization for High-Order Stochastic Nonlinear Systems with Stochastic Inverse Dynamics (2007, methodology): “27) in [10], we adopt Assumption 2 in the stochastic setting.”