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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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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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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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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EXISTENCE OF NONOSCILLATORY SOLUTIONS OF NONLINEAR NEUTRAL DELAY DIFFERENCE EQUATION OF FRACTIONAL ORDER

Advances in Mathematics: Scientific Journal ◽

10.37418/amsj.9.7.62 ◽

2020 ◽

Vol 9 (7) ◽

pp. 4971-4983

Author(s):

A. George Maria Selvam ◽

M. Jacintha ◽

R. Janagaraj

Keyword(s):

Difference Equation ◽

Fractional Order ◽

Delay Difference Equation ◽

Neutral Delay ◽

Nonoscillatory Solutions ◽

Delay Difference

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Existence and approximation of zeroes of monotone operators by solutions to nonhomogeneous difference inclusions

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2021.125268 ◽

2021 ◽

Vol 502 (2) ◽

pp. 125268

Author(s):

Behzad Djafari Rouhani ◽

Parisa Jamshidnezhad ◽

Shahram Saeidi

Keyword(s):

Monotone Operators ◽

Difference Inclusions

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Asymptotic Behavior of a Class of Nonlinear Delay Difference Equations

The Journal of Difference Equations and Applications ◽

10.1080/1023619021000000735 ◽

2002 ◽

Vol 8 (8) ◽

pp. 719-728 ◽

Author(s):

Ravi P. Agarwal ◽

Wan-Tong Li ◽

P.Y.H. Pang

Keyword(s):

Asymptotic Behavior ◽

Difference Equations ◽

Delay Difference Equations ◽

Delay Difference ◽

Nonlinear Delay

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An estimate of numbers of terms of semicycles of delay difference equations

Computers & Mathematics with Applications ◽

10.1016/s0898-1221(00)00300-x ◽

2001 ◽

Vol 41 (5-6) ◽

pp. 571-578 ◽

Author(s):

Yong Zhou ◽

B.G. Zhang

Keyword(s):

Difference Equations ◽

Delay Difference Equations ◽

Delay Difference

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