Stability of non-linear systems with time-varying delays

R. M. Lewis

doi:10.1017/s0334270000002149

Stability of non-linear systems with time-varying delays

The Journal of the Australian Mathematical Society Series B Applied Mathematics ◽

10.1017/s0334270000002149 ◽

1980 ◽

Vol 21 (4) ◽

pp. 452-463

Author(s):

R. M. Lewis

Keyword(s):

Linear Systems ◽

Time Delays ◽

Time Varying ◽

Non Linear ◽

Non Linear Systems ◽

The Stability

AbstractA condition guranteeing the stability of linear systems with time delays in the interactions among elements is generalized to cover non-linear systems and discontinuous, unbounded delays.

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Exponential stability and robustH∞control of a class of discrete-time switched non-linear systems with time-varying delays via T-S fuzzy model

International Journal of Systems Science ◽

10.1080/00207721.2012.745025 ◽

2012 ◽

Vol 45 (5) ◽

pp. 1112-1127 ◽

Cited By ~ 19

Author(s):

Yanbing Mao ◽

Hongbin Zhang

Keyword(s):

Exponential Stability ◽

Linear Systems ◽

Discrete Time ◽

Fuzzy Model ◽

Time Varying ◽

Non Linear ◽

Non Linear Systems

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A Lyapunov stability result for time-varying non-linear systems

1997 European Control Conference (ECC) ◽

10.23919/ecc.1997.7082486 ◽

1997 ◽

Author(s):

M. Weiss ◽

H. A. Preisig

Keyword(s):

Linear Systems ◽

Lyapunov Stability ◽

Stability Result ◽

Time Varying ◽

Non Linear ◽

Non Linear Systems

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Identification of Time-Varying Non-Linear Systems for Brain Connectivity Analysis

Advances in Automobile Engineering ◽

10.4172/2167-7670.1000e120 ◽

2014 ◽

Vol 03 (01) ◽

Author(s):

Yang Li

Keyword(s):

Linear Systems ◽

Brain Connectivity ◽

Time Varying ◽

Connectivity Analysis ◽

Non Linear ◽

Non Linear Systems

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MODEL-FREE ADAPTIVE CONTROL FOR TIME-VARYING TRAJECTORY TRACKING OF NON-LINEAR SYSTEMS

International Journal of Robotics and Automation ◽

10.2316/j.2019.206-5201 ◽

2019 ◽

Vol 34 (1) ◽

Author(s):

Ce Hao ◽

Yueling Wang ◽

Hongbin Wang ◽

Zhen Zhou

Keyword(s):

Adaptive Control ◽

Linear Systems ◽

Trajectory Tracking ◽

Time Varying ◽

Model Free ◽

Non Linear ◽

Non Linear Systems

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Universal stabilisation design for a class of non-linear systems with time-varying input delays

IET Control Theory and Applications ◽

10.1049/iet-cta.2014.1085 ◽

2015 ◽

Vol 9 (10) ◽

pp. 1481-1490 ◽

Cited By ~ 11

Author(s):

Xiushan Cai ◽

Leipo Liu ◽

Yuhang Lin

Keyword(s):

Linear Systems ◽

Time Varying ◽

Non Linear ◽

Non Linear Systems ◽

Input Delays

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Fault estimation for a class of interconnected non-linear systems with time-varying delay using robust adaptive unknown input observers

IMA Journal of Mathematical Control and Information ◽

10.1093/imamci/dnw046 ◽

2016 ◽

pp. dnw046

Author(s):

Maryam Kazerooni ◽

Alireza Khayatian ◽

Aliakbar Safavi

Keyword(s):

Linear Systems ◽

Fault Estimation ◽

Unknown Input ◽

Time Varying ◽

Time Varying Delay ◽

Non Linear ◽

Unknown Input Observers ◽

Non Linear Systems ◽

Robust Adaptive ◽

Varying Delay

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Adaptive neural network tracking control for switched uncertain non-linear systems with actuator failures and time-varying delays

IET Control Theory and Applications ◽

10.1049/iet-cta.2018.6188 ◽

2019 ◽

Vol 13 (12) ◽

pp. 1929-1939 ◽

Cited By ~ 4

Author(s):

Qinghua Hou ◽

Jiuxiang Dong ◽

Changjiang Xi

Keyword(s):

Neural Network ◽

Linear Systems ◽

Tracking Control ◽

Time Varying ◽

Adaptive Neural Network ◽

Actuator Failures ◽

Non Linear ◽

Non Linear Systems

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Output tracking control of strict-feedback non-linear systems under asymmetrically bilateral and time-varying full-state constraints

IET Control Theory and Applications ◽

10.1049/iet-cta.2019.0399 ◽

2020 ◽

Vol 14 (1) ◽

pp. 156-164

Author(s):

Yawen Sun ◽

Shigen Gao ◽

Lingbin Ning ◽

Hairong Dong ◽

Bin Ning

Keyword(s):

Linear Systems ◽

Tracking Control ◽

State Constraints ◽

Time Varying ◽

Output Tracking ◽

Output Tracking Control ◽

Full State ◽

Non Linear ◽

Non Linear Systems ◽

Full State Constraints

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New filtering and smoothing algorithms for discrete non-linear systems with time delays

International Journal of Control ◽

10.1080/00207177508921974 ◽

1975 ◽

Vol 21 (1) ◽

pp. 105-111 ◽

Cited By ~ 4

Author(s):

D. F. LIANG ◽

G. S. CHRISTENSEN

Keyword(s):

Linear Systems ◽

Time Delays ◽

Non Linear ◽

Non Linear Systems

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Decentralised adaptive control of a class of interconnected non-linear systems with unknown time delays and dead-zone inputs

IET Control Theory and Applications ◽

10.1049/iet-cta.2009.0391 ◽

2010 ◽

Vol 4 (11) ◽

pp. 2639-2650 ◽

Cited By ~ 26

Author(s):

S.J. Yoo

Keyword(s):

Adaptive Control ◽

Linear Systems ◽

Time Delays ◽

Dead Zone ◽

Non Linear ◽

Non Linear Systems ◽

Unknown Time Delays

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