On the necessity of the small-gain theorem in the performance analysis of nonlinear systems

Proceedings of the 40th IEEE Conference on Decision and Control (Cat. No.01CH37228) ◽

10.1109/cdc.2001.980067 ◽

2003 ◽

Author(s):

R.A. Freeman

Keyword(s):

Performance Analysis ◽

Nonlinear Systems ◽

Small Gain Theorem ◽

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Small Gain Theorem with Restrictions for Uncertain Time-varying Nonlinear Systems

Communications in Information and Systems ◽

10.4310/cis.2006.v6.n2.a2 ◽

2006 ◽

Vol 6 (2) ◽

pp. 115-136 ◽

Author(s):

Jie Huang ◽

Minghui Zhu

Keyword(s):

Nonlinear Systems ◽

Time Varying ◽

Small Gain Theorem ◽

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Stable adaptive fuzzy control of nonlinear systems using small-gain theorem and LMI approach

Journal of Control Theory and Applications ◽

10.1007/s11768-010-8035-0 ◽

2010 ◽

Vol 8 (4) ◽

pp. 527-532 ◽

Author(s):

Haibo Jiang ◽

Jianjiang Yu ◽

Caigen Zhou

Keyword(s):

Nonlinear Systems ◽

Fuzzy Control ◽

Adaptive Fuzzy Control ◽

Lmi Approach ◽

Adaptive Fuzzy ◽

Small Gain Theorem ◽

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A simplified small gain theorem for time-varying nonlinear systems

IEEE Transactions on Automatic Control ◽

10.1109/tac.2005.855126 ◽

2005 ◽

Vol 50 (11) ◽

pp. 1904-1908 ◽

Author(s):

Zhiyong Chen ◽

Jie Huang

Keyword(s):

Nonlinear Systems ◽

Time Varying ◽

Small Gain Theorem ◽

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The Small-Gain Theorem for Nonlinear Systems and Its Applications to Robust Stability

Lectures in Feedback Design for Multivariable Systems - Advanced Textbooks in Control and Signal Processing ◽

10.1007/978-3-319-42031-8_8 ◽

2016 ◽

pp. 233-249

Author(s):

Alberto Isidori

Keyword(s):

Nonlinear Systems ◽

Robust Stability ◽

Small Gain Theorem ◽

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Exponential small-gain theorem and fault tolerant safe control of interconnected nonlinear systems

10.1016/j.automatica.2020.108866 ◽

2020 ◽

Vol 115 ◽

pp. 108866

Author(s):

Hao Yang ◽

Chencheng Zhang ◽

Zixin An ◽

Bin Jiang

Keyword(s):

Nonlinear Systems ◽

Fault Tolerant ◽

Small Gain Theorem ◽

Safe Control ◽

Interconnected Nonlinear Systems

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Switching Controller Design for a Class of Markovian Jump Nonlinear Systems Using Stochastic Small-Gain Theorem

Advances in Difference Equations ◽

10.1155/2009/896218 ◽

2009 ◽

Vol 2009 ◽

pp. 1-23 ◽

Author(s):

Jin Zhu ◽

Junhong Park ◽

Kwan-Soo Lee ◽

Maksym Spiryagin

Keyword(s):

Nonlinear Systems ◽

Controller Design ◽

Markovian Jump ◽

Small Gain Theorem ◽

Switching Controller

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Adaptive fuzzy robust control of a class of nonlinear systems via small gain theorem

IEEE 10th International Conference on Industrial Informatics ◽

10.1109/indin.2012.6301170 ◽

2012 ◽

Author(s):

Xingjian Wang ◽

Shaoping Wang ◽

Kang Wang ◽

Wei Hong

Keyword(s):

Robust Control ◽

Nonlinear Systems ◽

Adaptive Fuzzy ◽

Small Gain Theorem ◽

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Adaptive neural control for a class of stochastic nonlinear systems using stochastic small-gain theorem

Proceedings of the 33rd Chinese Control Conference ◽

10.1109/chicc.2014.6895862 ◽

2014 ◽

Author(s):

Hua-ting Gao ◽

Tian-ping Zhang ◽

Ran-ran Wang ◽

Yang Yi

Keyword(s):

Nonlinear Systems ◽

Neural Control ◽

Stochastic Nonlinear Systems ◽

Adaptive Neural Control ◽

Small Gain Theorem ◽

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The necessity of the small-gain theorem for time-varying and nonlinear systems

IEEE Transactions on Automatic Control ◽

10.1109/9.90227 ◽

1991 ◽

Vol 36 (10) ◽

pp. 1138-1147 ◽

Author(s):

J.S. Shamma

Keyword(s):

Nonlinear Systems ◽

Time Varying ◽

Small Gain Theorem ◽

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Self-triggering in nonlinear systems: A small gain theorem approach

2012 20th Mediterranean Conference on Control & Automation (MED) ◽

10.1109/med.2012.6265759 ◽

2012 ◽

Author(s):

Domagoj Tolic ◽

R.G. Sanfelice ◽

Rafael Fierro

Keyword(s):

Nonlinear Systems ◽

Small Gain Theorem ◽

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