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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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 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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Robust Control of a Class of Nonlinear Systems in Presence of Uncertain Time-Varying Parameters Associated with Diagonal Terms via Output Feedback

IEICE Transactions on Fundamentals of Electronics Communications and Computer Sciences ◽

10.1587/transfun.2020eap1005 ◽

2021 ◽

Vol E104.A (1) ◽

pp. 263-274

Author(s):

Sang-Young OH ◽

Ho-Lim CHOI

Keyword(s):

Robust Control ◽

Nonlinear Systems ◽

Output Feedback ◽

Time Varying ◽

Varying Parameters ◽

Time Varying Parameters ◽

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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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Comments on "A Multichannel IOS Small Gain Theorem for Systems With Multiple Time-Varying Communication Delays

IEEE Transactions on Automatic Control ◽

10.1109/tac.2010.2048938 ◽

2010 ◽

Vol 55 (7) ◽

pp. 1722-1725 ◽

Author(s):

Bjorn S. Ruffer ◽

Rudolf Sailer ◽

Fabian R Wirth

Keyword(s):

Multiple Time ◽

Time Varying ◽

Communication Delays ◽

Small Gain Theorem ◽

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Small-gain theorem and finite-frequency analysis of TCP/AQM system with time varying delay

IET Control Theory and Applications ◽

10.1049/iet-cta.2018.6466 ◽

2019 ◽

Vol 13 (13) ◽

pp. 1971-1982 ◽

Author(s):

Belamfedel Alaoui Sadek ◽

Tissir El Houssaine ◽

Chaibi Noreddine

Keyword(s):

Frequency Analysis ◽

Time Varying ◽

Finite Frequency ◽

Time Varying Delay ◽

Small Gain Theorem ◽

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Global Adaptive Finite-Time Stabilization of Uncertain Time-Varying $p$-Normal Nonlinear Systems Without Homogeneous Growth Nonlinearity Restriction

IEEE Transactions on Automatic Control ◽

10.1109/tac.2019.2899508 ◽

2019 ◽

Vol 64 (11) ◽

pp. 4637-4644 ◽

Author(s):

Ting Li ◽

Jun Yang ◽

Changyun Wen ◽

Chuanlin Zhang

Keyword(s):

Nonlinear Systems ◽

Finite Time ◽

Time Varying ◽

Finite Time Stabilization ◽

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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 Multichannel IOS Small Gain Theorem for Systems With Multiple Time-Varying Communication Delays

IEEE Transactions on Automatic Control ◽

10.1109/tac.2008.2009582 ◽

2009 ◽

Vol 54 (2) ◽

pp. 404-409 ◽

Author(s):

Ilia Polushin ◽

Horacio J. Marquez ◽

Abdelhamid Tayebi ◽

Peter X. Liu

Keyword(s):

Multiple Time ◽

Time Varying ◽

Communication Delays ◽

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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