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 ◽

Author(s):

Yuji Nagira ◽

Yohei Hosoe ◽

Tomomichi Hagiwara

Keyword(s):

Discrete Time ◽

Stochastic Systems ◽

Small Gain Theorem ◽

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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 ◽

Infinite Networks

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A Small-Gain Theorem for Nonlinear Stochastic Systems with Inputs and Outputs I: Additive White Noise

SIAM Journal on Control and Optimization ◽

10.1137/15m1044047 ◽

2016 ◽

Vol 54 (5) ◽

pp. 2383-2402 ◽

Author(s):

Jifa Jiang ◽

Xiang Lv

Keyword(s):

White Noise ◽

Stochastic Systems ◽

Nonlinear Stochastic Systems ◽

Small Gain Theorem ◽

Additive White Noise ◽

Inputs And Outputs

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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 ◽

Author(s):

Jianbo Lu ◽

R.E. Skelton

Keyword(s):

Stochastic Control ◽

Discrete Time ◽

Mean Square ◽

Small Gain Theorem ◽

Discrete Time Case

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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 ◽

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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 ◽

Author(s):

Feng Wang ◽

WeiWei Che

Keyword(s):

Discrete Time ◽

Delay Systems ◽

Time Delay Systems ◽

Small Gain Theorem ◽

Discrete Time Delay ◽

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A Complete Characterization of Integral Input-to-State Stability and Its Small-Gain Theorem for Stochastic Systems

IEEE Transactions on Automatic Control ◽

10.1109/tac.2019.2946203 ◽

2020 ◽

Vol 65 (7) ◽

pp. 3039-3052 ◽

Author(s):

Hiroshi Ito

Keyword(s):

Stochastic Systems ◽

Complete Characterization ◽

Small Gain Theorem ◽

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Discrete-time Lyapunov-based small-gain theorem for parameterized interconnected ISS systems

IEEE Transactions on Automatic Control ◽

10.1109/tac.2003.817928 ◽

2003 ◽

Vol 48 (10) ◽

pp. 1783-1788 ◽

Author(s):

D.S. Laila ◽

D. Nesic

Keyword(s):

Discrete Time ◽

Small Gain Theorem ◽

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A Relaxed Small-Gain Theorem for Interconnected Discrete-Time Systems

IEEE Transactions on Automatic Control ◽

10.1109/tac.2014.2332691 ◽

2015 ◽

Vol 60 (3) ◽

pp. 812-817 ◽

Author(s):

Roman Geiselhart ◽

Mircea Lazar ◽

Fabian R. Wirth

Keyword(s):

Discrete Time ◽

Small Gain Theorem ◽

Discrete Time Systems ◽

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A Non–conservative Small-Gain Theorem for GAS Discrete–Time Systems

IFAC Proceedings Volumes ◽

10.3182/20130904-3-fr-2041.00040 ◽

2013 ◽

Vol 46 (23) ◽

pp. 26-31

Author(s):

Roman Geiselhart ◽

Rob H. Gielen ◽

Mircea Lazar ◽

Fabian R. Wirth

Keyword(s):

Discrete Time ◽

Small Gain Theorem ◽

Discrete Time Systems ◽

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ISS Small-Gain Theorem for Networked Discrete-Time Switching Systems

IFAC-PapersOnLine ◽

10.1016/j.ifacol.2020.12.2581 ◽

2020 ◽

Vol 53 (2) ◽

pp. 1900-1905

Author(s):

P. Pepe

Keyword(s):

Discrete Time ◽

Switching Systems ◽

Time Switching ◽

Small Gain Theorem ◽

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