Tractable Razumikhin-type conditions for input-to-state stability analysis of delay difference inclusions

10.1016/j.automatica.2012.11.048 ◽

2013 ◽

Vol 49 (2) ◽

pp. 619-625 ◽

Author(s):

R.H. Gielen ◽

A.R. Teel ◽

M. Lazar

Keyword(s):

Stability Analysis ◽

Difference Inclusions ◽

Delay Difference

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On the construction of D-invariant sets for linear polytopic delay difference inclusions

Journal Européen des Systèmes Automatisés ◽

10.3166/jesa.46.183-195 ◽

2012 ◽

Vol 46 (2-3) ◽

pp. 183-195

Author(s):

Rob H. Gielen ◽

Mircea Lazar

Keyword(s):

Invariant Sets ◽

Difference Inclusions ◽

Delay Difference

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Stabilization of polytopic delay difference inclusions: Time-varying control Lyapunov functions

49th IEEE Conference on Decision and Control (CDC) ◽

10.1109/cdc.2010.5717818 ◽

2010 ◽

Author(s):

Rob Gielen ◽

Mircea Lazar

Keyword(s):

Lyapunov Functions ◽

Time Varying ◽

Difference Inclusions ◽

Delay Difference

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Stability analysis of delay difference systems

Computers & Mathematics with Applications ◽

10.1016/s0898-1221(97)00075-8 ◽

1997 ◽

Vol 33 (10) ◽

pp. 41-52 ◽

Author(s):

Shunian Zhang

Keyword(s):

Stability Analysis ◽

Difference Systems ◽

Delay Difference

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Stability Analysis of Second Order Delay Difference Equations

Funkcialaj Ekvacioj ◽

10.1619/fesi.50.405 ◽

2007 ◽

Vol 50 (3) ◽

pp. 405-419 ◽

Author(s):

Hongshan Ren

Keyword(s):

Stability Analysis ◽

Difference Equations ◽

Second Order ◽

Delay Difference Equations ◽

Delay Difference

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Strong Stability Analysis of Linear Delay Difference Equations with Multiple Time Delays

IEEE Transactions on Automatic Control ◽

10.1109/tac.2020.3027660 ◽

2020 ◽

pp. 1-1

Author(s):

Yunxia Song ◽

Wim Michiels ◽

Bin Zhou ◽

Guang-Ren Duan

Keyword(s):

Stability Analysis ◽

Difference Equations ◽

Time Delays ◽

Strong Stability ◽

Multiple Time ◽

Multiple Time Delays ◽

Linear Delay ◽

Delay Difference Equations ◽

Delay Difference

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Lyapunov Methods for Time-Invariant Delay Difference Inclusions

SIAM Journal on Control and Optimization ◽

10.1137/100807065 ◽

2012 ◽

Vol 50 (1) ◽

pp. 110-132 ◽

Author(s):

R. H. Gielen ◽

M. Lazar ◽

I. V. Kolmanovsky

Keyword(s):

Lyapunov Methods ◽

Difference Inclusions ◽

Time Invariant ◽

Delay Difference

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Stabilisation of linear delay difference inclusions via time-varying control Lyapunov functions

IET Control Theory and Applications ◽

10.1049/iet-cta.2012.0100 ◽

2012 ◽

Vol 6 (12) ◽

pp. 1958-1964 ◽

Author(s):

R.H. Gielen ◽

M. Lazar

Keyword(s):

Lyapunov Functions ◽

Time Varying ◽

Difference Inclusions ◽

Linear Delay ◽

Delay Difference

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On Lyapunov theory for delay difference inclusions

Proceedings of the 2010 American Control Conference ◽

10.1109/acc.2010.5530644 ◽

2010 ◽

Author(s):

R H Gielen ◽

M Lazar ◽

I V Kolmanovsky

Keyword(s):

Lyapunov Theory ◽

Difference Inclusions ◽

Delay Difference

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Stability analysis of a second-order delay-difference proportionally-fair rate allocation algorithm

Proceedings 2004 12th IEEE International Conference on Networks (ICON 2004) (IEEE Cat No 04EX955) ICON-04 ◽

10.1109/icon.2004.1409246 ◽

2005 ◽

Author(s):

P. Goudarzi ◽

F. Sheikholeslam ◽

H. Saidi

Keyword(s):

Stability Analysis ◽

Rate Allocation ◽

Second Order ◽

Allocation Algorithm ◽

Delay Difference

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Stabilization of polytopic delay difference inclusions via the Razumikhin approach

10.1016/j.automatica.2011.08.046 ◽

2011 ◽

Vol 47 (12) ◽

pp. 2562-2570 ◽

Author(s):

R.H. Gielen ◽

M. Lazar

Keyword(s):

Difference Inclusions ◽

Delay Difference

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