Finite-time and fixed-time stabilization: Implicit Lyapunov function approach

By Andrey E. Polyakov, Denis V. Efimov, Wilfrid Perruquetti. at - Automatisierungstechnik, 2015

911 citations recorded by the source corpus.

Subfields: Control and Systems Engineering

View Paper: https://www.semanticscholar.org/paper/06b579537a7b81d021062a3dfffbcba0afb57f35

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In Control and Systems Engineering

1. Qing-Long Han
2. Xianming Zhang
3. Xiaohua Ge
4. Boda Ning
5. Haibo He
6. Yongduan Song
7. Zongyu Zuo
8. Frank L. Lewis

Citations in the corpus

• Fixed-time backstepping control design for high-order strict-feedback non-linear systems via terminal sliding mode (2017, background): “Compared with the finite-time control, the fixed-time control not only provides faster convergence speed, but also makes the derived system settling time independent of the system initial conditions [15].”
• Adaptive Fuzzy Practical Fixed-Time Tracking Control of Nonlinear Systems (2021, background): “In 2012, the fixed-time convergence problem and its stability were first proposed in [9].”
• Prescribed-Time Control and Its Latest Developments (2022, background): “Later on, a notion termed fixed-time (FxT) control [83], [84], [85], [86], [87], [88], [89], [90], [91], [92] has emerged, which employs odd-order plus fractional-order feedback to provide various”
• Fixed/Preassigned-Time Synchronization of Complex Networks via Improving Fixed-Time Stability (2020, methodology): “[6] investigated the FXT stability of nonautonomous systems by proposing an implicit Lyapunov function.”
• Prescribed-Time Consensus and Containment Control of Networked Multiagent Systems (2019, neutral): “Definition 1 [30]: Consider the system defined by”
• Time-varying feedback for regulation of normal-form nonlinear systems in prescribed finite time (2017, methodology): “, 2015) or high-order systems with known control gains (Hong, 2002; Hong & Jiang, 2006a; Hong et al., 2006b; Huang et al., 2005; Polyakov et al., 2015; Shen & Huang, 2009).”
• Fixed-Time Synchronization of Complex Networks With Impulsive Effects via Nonchattering Control (2017, neutral): “eral new results are obtained in [33]–[40].”
• An Overview of Recent Advances in Fixed-Time Cooperative Control of Multiagent Systems (2018, background): “tonomous) system always implies uniform asymptotic stability [31].”