Lyapunov formulation of the large-scale, ISS cyclic-small-gain theorem: The discrete-time case

Tengfei Liu; David J. Hill; Zhong-Ping Jiang

doi:10.1016/j.sysconle.2011.11.002

Lyapunov formulation of the large-scale, ISS cyclic-small-gain theorem: The discrete-time case

Systems & Control Letters ◽

10.1016/j.sysconle.2011.11.002 ◽

2012 ◽

Vol 61 (1) ◽

pp. 266-272 ◽

Cited By ~ 16

Author(s):

Tengfei Liu ◽

David J. Hill ◽

Zhong-Ping Jiang

Keyword(s):

Discrete Time ◽

Large Scale ◽

Small Gain Theorem ◽

Small Gain ◽

Discrete Time Case

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Mean-square small gain theorem for stochastic control: discrete-time case

IEEE Transactions on Automatic Control ◽

10.1109/9.989147 ◽

2002 ◽

Vol 47 (3) ◽

pp. 490-494 ◽

Cited By ~ 43

Author(s):

Jianbo Lu ◽

R.E. Skelton

Keyword(s):

Stochastic Control ◽

Discrete Time ◽

Mean Square ◽

Small Gain Theorem ◽

Small Gain ◽

Discrete Time Case

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The lp Induced Norm and the Small-Gain Theorem for Discrete-time Stochastic Systems

2018 European Control Conference (ECC) ◽

10.23919/ecc.2018.8550128 ◽

2018 ◽

Cited By ~ 2

Author(s):

Yuji Nagira ◽

Yohei Hosoe ◽

Tomomichi Hagiwara

Keyword(s):

Discrete Time ◽

Stochastic Systems ◽

Small Gain Theorem ◽

Small Gain

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A relaxed small-gain theorem for discrete-time infinite networks

2020 59th IEEE Conference on Decision and Control (CDC) ◽

10.1109/cdc42340.2020.9303769 ◽

2020 ◽

Author(s):

Navid Noroozi ◽

Andrii Mironchenko ◽

Fabian R. Wirth

Keyword(s):

Discrete Time ◽

Small Gain Theorem ◽

Small Gain ◽

Infinite Networks

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On the application of the small-gain theorem to the stability analysis of large-scale power systems with delay

2012 American Control Conference (ACC) ◽

10.1109/acc.2012.6314743 ◽

2012 ◽

Cited By ~ 3

Author(s):

R. H. Gielen ◽

R. M. Hermans ◽

M. Lazar ◽

A. R. Teel

Keyword(s):

Stability Analysis ◽

Power Systems ◽

Large Scale ◽

Small Gain Theorem ◽

Small Gain ◽

The Stability

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Nonlinear small-gain theorems for discrete-time large-scale systems

10.1109/chicc.2008.4605053 ◽

2008 ◽

Cited By ~ 3

Author(s):

Jiang Zhongping ◽

Lin Yuandan ◽

Wang Yuan

Keyword(s):

Discrete Time ◽

Large Scale ◽

Large Scale Systems ◽

Small Gain

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A new small gain theorem for large-scale networks of switched systems with arbitrary switchings

2015 European Control Conference (ECC) ◽

10.1109/ecc.2015.7330974 ◽

2015 ◽

Cited By ~ 2

Author(s):

Sergey N. Dashkovskiy ◽

Svyatoslav S. Pavlichkov

Keyword(s):

Switched Systems ◽

Large Scale ◽

Small Gain Theorem ◽

Small Gain ◽

Large Scale Networks

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A small gain theorem for discrete-time stochastic periodic systems

2016 12th IEEE International Conference on Control and Automation (ICCA) ◽

10.1109/icca.2016.7505290 ◽

2016 ◽

Author(s):

Ting Hou ◽

Hongji Ma

Keyword(s):

Discrete Time ◽

Periodic Systems ◽

Small Gain Theorem ◽

Small Gain

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An IOS small-gain theorem for large-scale hybrid systems

2017 IEEE 56th Annual Conference on Decision and Control (CDC) ◽

10.1109/cdc.2017.8264195 ◽

2017 ◽

Author(s):

Adiya Bao ◽

Tengfei Liu ◽

Zhong-Ping Jiang

Keyword(s):

Hybrid Systems ◽

Large Scale ◽

Small Gain Theorem ◽

Small Gain

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A generalization of the nonlinear small-gain theorem for large-scale complex systems

2008 7th World Congress on Intelligent Control and Automation ◽

10.1109/wcica.2008.4593093 ◽

2008 ◽

Cited By ~ 15

Author(s):

Zhong-Ping Jiang ◽

Yuan Wang

Keyword(s):

Complex Systems ◽

Large Scale ◽

Small Gain Theorem ◽

Small Gain

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Quantized H∞ filter for discrete time-delay systems via small gain theorem

The 27th Chinese Control and Decision Conference (2015 CCDC) ◽

10.1109/ccdc.2015.7162280 ◽

2015 ◽

Cited By ~ 1

Author(s):

Feng Wang ◽

WeiWei Che

Keyword(s):

Time Delay ◽

Discrete Time ◽

Delay Systems ◽

Time Delay Systems ◽

Small Gain Theorem ◽

Discrete Time Delay ◽

Small Gain

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