Non-Lipschitz continuous stabilizers for nonlinear systems with uncontrollable unstable linearization
By Chunjiang Qian, Wei Lin. 2001
914 citations recorded by the source corpus.
Subfields: Control and Systems Engineering
View Paper: https://www.semanticscholar.org/paper/a08360666622dd1640e8b2afa2aa819d8afc18c4
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In Control and Systems Engineering
Citations in the corpus
- Adaptive disturbance rejection for strict‐feedback switched nonlinear systems using multiple Lyapunov functions (2014, methodology): “Remark 2 Using a similar method as in [38], since f0k.”
- Sliding mode control of a class of underactuated systems (2008, background): “However, there exists a continuous state feedback law, which globally stabilizes system (3) (Qian & Lin, 2001).”
- Adaptive control of nonlinearly parameterized systems: a nonsmooth feedback framework (2002, methodology): “The next two lemmas are a direct consequence of Young’s inequality [24].”
- Semi-global finite-time observers for nonlinear systems (2008, methodology): “The major technique used is homogeneity (Qian & Lin, 2001).”
- Finite-Time Adaptive Fuzzy Tracking Control Design for Nonlinear Systems (2018, neutral): “If ν(t) > 0 for all ∀t ≥ t0 , then under the initial condition ς̂(t0) ≥ 0, ς(t) ≥ 0 holds for ∀t ≥ t0 Lemma 3 (see[37]): For real variables z and ζ, and any positive constants μ, θ, and ι, the following inequality is true:”
- Stability analysis for a second-order continuous finite-time control system subject to a disturbance (2009, methodology): “Lemma 3 [ 24 ] For x ∈ R ,y ∈ R, let c, d be positive real numbers and γ(x, y) > 0 be any real-valued function.”
- Output feedback control for a class of stochastic high‐order nonlinear systems with time‐varying delays (2014, background): “2 [1] For x 2R, y 2R, and p > 1, the following inequalities hold, jxC yj 6 2 (1)jx C yj, .”
- Distributed Event-Triggered Control for Multi-Agent Systems (2012, background): “Digital Object Identifier 10.1109/TAC.2011.2174666 0018-9286/$26.00 © 2011 IEEE control have appeared in the recent literature [6], [7] involving agreement or consensus algorithms [12], [20], [23], formation control [2], [4], [5], [8] and distributed estimation [21], [25].”
- Adaptive Neural Network Finite-Time Output Feedback Control of Quantized Nonlinear Systems (2018, background): “Lemma 3 [59]: For any real variables z, α and any positive constants μ, θ, ι, the following inequality is satisfied:”
- A continuous feedback approach to global strong stabilization of nonlinear systems (2001, methodology): “9 has the following important consequence that was proved in [25], without imposing any growth condition .”