Control Lyapunov-Razumikhin functions and robust stabilization of time delay systems
By Mrdjan Jankovic. IEEE Transactions on Automatic Control, 2001
407 citations recorded by the source corpus.
Subfields: Control and Systems Engineering
View Paper: https://www.semanticscholar.org/paper/5168a6dff47600f9f007dbaf22d71d1893ce276b
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In Control and Systems Engineering
- Shaocheng Tong
- Shuzhi Sam Ge
- Yanjun Liu
- Wei He
- Yong-ming Li
- Chun Lung Philip Chen
- Peng Shi
- Keng Peng Tee
Citations in the corpus
- Approximation-based control of nonlinear MIMO time-delay systems (2007, methodology): “These have been applied to time-delay systems that are linear (Gu, Kharitonov, & Chen, 2003; Kharitonov & Melchor-Aguilar, 2003; Kolmanovskii & Richard, 1999; Sun, Hsieh, & Yang, 1997), as well those that are nonlinear (Dugard & Verriest, 1998; Jankovic, 2001; Xu & Liu, 1994). Following its success ”
- Neural Networks-Based Adaptive Control for Nonlinear State Constrained Systems With Input Delay (2019, methodology): “In [50], the unknown time delays were compensated by using LKFs.”
- Time-delay systems: an overview of some recent advances and open problems (2003, background): “Besides, the relative computational simplicity of Razumikhin functions permitted to generalize the notion of control Liapunov function to delay systems (Jankovic, 2001).”
- Adaptive Neural Control of Pure-Feedback Nonlinear Time-Delay Systems via Dynamic Surface Technique (2011, methodology): “Lyapunov–Krasovskii functionals [27] and Lyapunov–Razumikhin functions [28] are two main tools to be applied to nonlinear time-delay systems.”
- Nonlinear control under wave actuator dynamics with time‐ and state‐dependent moving boundary (2015, background): “Over the last 10 years, many innovations have been made on developing control designs and stability analysis for nonlinear systems with state delays [14–18] and with input delays [19–22].”
- Input Delay Compensation for Forward Complete and Strict-Feedforward Nonlinear Systems (2010, background): “In parallel, over the last ten years, innovative efforts have been ongoing on developing control design and stability analysis for nonlinear systems with state delays [9]–[12], [16], [28], [30], [45], [46], [63].”
- Adaptive neural control of nonlinear time-delay systems with unknown virtual control coefficients (2004, background): “Another challenging problem in control of nonlinear systems lies in robust control of nonlinear systems with time delays [20], [21].”