External stability of Caputo fractional-order nonlinear control systems: advances in the Lyapunov function method

Nonlinear Dynamics ◽

10.1007/s11071-020-06182-5 ◽

2021 ◽

Vol 104 (1) ◽

pp. 429-438

Author(s):

Cong Wu

Keyword(s):

Lyapunov Function ◽

Nonlinear Control ◽

Control Systems ◽

Fractional Order ◽

Function Method ◽

Nonlinear Control Systems ◽

External Stability ◽

Lyapunov Function Method

Download Full-text

External stability of Caputo fractional‐order nonlinear control systems

International Journal of Robust and Nonlinear Control ◽

10.1002/rnc.4601 ◽

2019 ◽

Author(s):

Cong Wu ◽

Jiaojiao Ren

Keyword(s):

Nonlinear Control ◽

Control Systems ◽

Fractional Order ◽

Nonlinear Control Systems ◽

External Stability

Download Full-text

A Method of Constructing Non-Lur^|^eacute; Type Lyapunov Function for Nonlinear Control Systems

Transactions of the Society of Instrument and Control Engineers ◽

10.9746/sicetr1965.23.247 ◽

1987 ◽

Vol 23 (3) ◽

pp. 247-252

Author(s):

Hayao MIYAGI ◽

Norio MIYAGI

Keyword(s):

Lyapunov Function ◽

Nonlinear Control ◽

Control Systems ◽

Nonlinear Control Systems

Download Full-text

Stabilization of discrete-time nonlinear control systems - Multiple fuzzy Lyapunov function approach

2009 International Conference on Information and Automation ◽

10.1109/icinfa.2009.5204890 ◽

2009 ◽

Author(s):

Shih-Wei Kau ◽

Xin-Yuan Huang ◽

Sheng-Yu Shiu ◽

Chun-Hsiung Fang

Keyword(s):

Lyapunov Function ◽

Nonlinear Control ◽

Control Systems ◽

Discrete Time ◽

Function Approach ◽

Nonlinear Control Systems ◽

Fuzzy Lyapunov Function

Download Full-text

A Fuzzy Lyapunov Function Method to Stability Analysis of Fractional Order T-S Fuzzy Systems

IEEE Transactions on Fuzzy Systems ◽

10.1109/tfuzz.2021.3078289 ◽

2021 ◽

pp. 1-1

Author(s):

Xiaofei Fan ◽

Zhanshan Wang

Keyword(s):

Stability Analysis ◽

Lyapunov Function ◽

Fractional Order ◽

Fuzzy Systems ◽

Function Method ◽

Fuzzy Lyapunov Function ◽

Lyapunov Function Method

Download Full-text

Intermittent control strategy for synchronization of fractional-order neural networks via piecewise Lyapunov function method

Journal of the Franklin Institute ◽

10.1016/j.jfranklin.2018.12.020 ◽

2019 ◽

Vol 356 (8) ◽

pp. 4648-4676 ◽

Author(s):

Ying Yang ◽

Yong He ◽

Min Wu

Keyword(s):

Neural Networks ◽

Lyapunov Function ◽

Fractional Order ◽

Control Strategy ◽

Function Method ◽

Intermittent Control ◽

Piecewise Lyapunov Function ◽

Lyapunov Function Method

Download Full-text

Constructing quasi-invariant control systems based on the Lyapunov function method for nonlinear plants with an incomplete mathematical model

Automatic Control and Computer Sciences ◽

10.3103/s0146411612030078 ◽

2012 ◽

Vol 46 (3) ◽

pp. 95-102 ◽

Author(s):

G. A. Rustamov

Keyword(s):

Mathematical Model ◽

Lyapunov Function ◽

Control Systems ◽

Function Method ◽

Lyapunov Function Method ◽

Invariant Control ◽

Nonlinear Plants

Download Full-text

Lyapunov function method for linear fractional order systems

2015 34th Chinese Control Conference (CCC) ◽

10.1109/chicc.2015.7259848 ◽

2015 ◽

Author(s):

Zhao Yige ◽

Wang Yuzhen ◽

Liu Zhi

Keyword(s):

Lyapunov Function ◽

Fractional Order ◽

Function Method ◽

Fractional Order Systems ◽

Lyapunov Function Method

Download Full-text

$H_{\infty}$ Control for Networked Predictive Control Systems Based on the Switched Lyapunov Function Method

IEEE Transactions on Industrial Electronics ◽

10.1109/tie.2009.2038341 ◽

2010 ◽

Vol 57 (10) ◽

pp. 3565-3571 ◽

Author(s):

Rui Wang ◽

Guo-Ping Liu ◽

Wei Wang ◽

David Rees ◽

Yun-Bo Zhao

Keyword(s):

Lyapunov Function ◽

Control Systems ◽

Predictive Control ◽

Function Method ◽

Lyapunov Function Method ◽

Networked Predictive Control ◽

Switched Lyapunov Function

Download Full-text

Analysis and synthesis of nonlinear control systems

10.31274/rtd-180813-12976 ◽

1996 ◽

Author(s):

Shan Lin

Keyword(s):

Nonlinear Control ◽

Control Systems ◽

Nonlinear Control Systems ◽

Analysis And Synthesis

Download Full-text

Analysis and Design Methods for Nonlinear Control Systems

10.21236/ada221621 ◽

1990 ◽

Author(s):

Wilson J. Rugh

Keyword(s):

Nonlinear Control ◽

Control Systems ◽

Design Methods ◽

Nonlinear Control Systems ◽

Analysis And Design

Download Full-text