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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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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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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Chirped-OFDM for transmissions over time-varying channels with linear delay/Doppler spreading

2001 IEEE International Conference on Acoustics, Speech, and Signal Processing. Proceedings (Cat. No.01CH37221) ◽

10.1109/icassp.2001.940478 ◽

2002 ◽

Author(s):

S. Barbarossa ◽

R. Torti

Keyword(s):

Time Varying ◽

Linear Delay ◽

Time Varying Channels ◽

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WDOP-based Summation Inequality and its Application to Exponential Stability of Linear Delay Difference Systems

Asian Journal of Control ◽

10.1002/asjc.1597 ◽

2017 ◽

Vol 20 (2) ◽

pp. 746-754 ◽

Author(s):

Xian Zhang ◽

Wanzhen Shang ◽

Yantao Wang

Keyword(s):

Exponential Stability ◽

Difference Systems ◽

Linear Delay ◽

Summation Inequality ◽

Delay Difference

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Some results on the behavior of the solutions of a linear delay difference equation with periodic coefficients

Applicable Analysis ◽

10.1080/00036819808840648 ◽

1998 ◽

Vol 69 (1-2) ◽

pp. 83-104 ◽

Author(s):

I.—G.E. Kordonis ◽

Ch.G. Philos ◽

I. K. Purnaras

Keyword(s):

Difference Equation ◽

Delay Difference Equation ◽

Periodic Coefficients ◽

Linear Delay ◽

Delay Difference

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Smooth Lyapunov functions and robustness of stability for difference inclusions

Systems & Control Letters ◽

10.1016/j.sysconle.2004.02.015 ◽

2004 ◽

Vol 52 (5) ◽

pp. 395-405 ◽

Author(s):

Christopher M Kellett ◽

Andrew R Teel

Keyword(s):

Lyapunov Functions ◽

Difference Inclusions

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On construction of Lyapunov functions for scalar linear time-varying systems

Systems & Control Letters ◽

10.1016/j.sysconle.2019.104591 ◽

2020 ◽

Vol 135 ◽

pp. 104591 ◽

Author(s):

Bin Zhou ◽

Yang Tian ◽

James Lam

Keyword(s):

Lyapunov Functions ◽

Linear Time ◽

Time Varying ◽

Time Varying Systems

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Control-Lyapunov functions for time-varying set stabilization

1997 European Control Conference (ECC) ◽

10.23919/ecc.1997.7082398 ◽

1997 ◽

Author(s):

Francesca Albertini ◽

Eduardo D. Sontag

Keyword(s):

Lyapunov Functions ◽

Time Varying ◽

Set Stabilization

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Strict Lyapunov Functions for Homogeneous Time-Varying Systems

IEEE Transactions on Systems Man and Cybernetics Systems ◽

10.1109/tsmc.2019.2912208 ◽

2019 ◽

pp. 1-9 ◽

Author(s):

Bin Zhang ◽

Yingmin Jia ◽

Junping Du

Keyword(s):

Lyapunov Functions ◽

Time Varying ◽

Time Varying Systems

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Adaptive Control Using Barrier Lyapunov Functions for Omnidirectional Mobile Robot with Time-Varying State Constraints

Advances in Asian Mechanism and Machine Science - Mechanisms and Machine Science ◽

10.1007/978-3-030-91892-7_38 ◽

2021 ◽

pp. 401-410

Author(s):

Hoa Thi Truong ◽

Xuan Bao Nguyen

Keyword(s):

Adaptive Control ◽

Mobile Robot ◽

Lyapunov Functions ◽

State Constraints ◽

Time Varying ◽

Omnidirectional Mobile Robot ◽

Barrier Lyapunov Functions

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