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Global exponential stability analysis for neutral delay-differential systems: an LMI approach

M. Liu
2006 International Journal of Systems Science  
In this paper for neutral delay differential systems, the problem of determining the exponential stability is investigated.  ...  Based on the Lyapunov method, we present some useful criteria of exponential stability for the derived systems.  ...  The authors thankfully acknowledge the reviewers and editors for their constructive comments for improvement of the manuscript.  ... 
doi:10.1080/00207720600879245 fatcat:3yszwmgxlzah5jeu527on5g6f4

Exponential Stability for Switched Systems with Mixed Time Delays

Chang-Hua Lien, Ker-Wei Yu, Yen-Feng Lin, Yeong-Jay Chung, Long-Yeu Chung, Jenq-Der Chen
2008 Open Cybernetics and Systemics Journal  
The global exponential stability problem for a class of switched systems with mixed time delays is investigated in this paper.  ...  LMI-based delay-dependent and delay-independent criteria are proposed to guarantee the exponential stability for our considered systems.  ...  Now we present a delay-dependent condition for the global exponential stability of system (1) with (2).  ... 
doi:10.2174/1874110x00802010020 fatcat:qwygyx4lezcxbjhfubl6yijacy

Stabilisation of neutral systems with saturating control inputs

J.M. Gomes da Silva, A. Seuret, E. Fridman, J.P. Richard
2011 International Journal of Systems Science  
This paper focuses on the stabilization problem of neutral systems in the presence of time-varying delays and control saturation.  ...  initial conditions or the global stability of the closed-loop system.  ...  Maximization of the delay for which global stability is ensured In the case where the system can be globally asymptotically stabilized in the absence of the delays, an interesting problem consists in finding  ... 
doi:10.1080/00207720903353575 fatcat:p6ib2eishjb47hfxbq4k75v56e

Lyapunov Technique and Backstepping for Nonlinear Neutral Systems

Frédéric Mazenc, Hiroshi Ito
2013 IEEE Transactions on Automatic Control  
Zheng, "Exponential stability analysis for delayed neural networks with switching parameters: Average dwell time approach," IEEE Trans. Neural Networks, vol. 121, pp. 1396-1407, 2010. [19] J. P.  ...  CONCLUSION We have proposed a new stability analysis technique for neutral systems based on the construction of an adequate Lyapunov-Krasovskii functional.  ... 
doi:10.1109/tac.2012.2206709 fatcat:b46vj7wfeve6peeaig4hqadl7q

Robust Exponential Stabilization for a Class of Nonlinear Uncertain Systems with Time-varying Delays

Meng Liu, Yali Dong, Xinyue Tang
2021 WSEAS Transactions on Systems  
This paper is concerned with the problem of robust exponential stabilization for a class of nonlinear uncertain systems with time-varying delays.  ...  By using appropriately chosen Lyapunov-Krasovskii functional, together with the Finsler's lemma, sufficient conditions for exponential stability of nonlinear uncertain systems with time-varying delays  ...  Krstic, Observation estimates for retarded time-delay systems: an and stabilization of LTV systems with time- LMI approach, IEEE Trans. Autom.  ... 
doi:10.37394/23202.2021.20.35 fatcat:4wp7kmkh5rccxm7xst64y3otdm

A Comprehensive Review of Stability Analysis of Continuous-Time Recurrent Neural Networks

Huaguang Zhang, Zhanshan Wang, Derong Liu
2014 IEEE Transactions on Neural Networks and Learning Systems  
For the case of delay-dependent stability, the results on how to deal with the constant/variable delay in recurrent neural networks are summarized.  ...  Some necessary and sufficient stability conditions for recurrent neural networks without time delays are also discussed.  ...  Technical Skills Used in LMI-Based Stability Results for Delayed Neural Networks Note that LMI-based approaches for the stability analysis of recurrent neural networks with time delay are based on the  ... 
doi:10.1109/tnnls.2014.2317880 fatcat:coaqgxoycbbmbkyqwim5sqdfmi

Switching Signal Design for Global Exponential Stability of Uncertain Switched Neutral Systems

Ker-Wei Yu
2009 Mathematical Problems in Engineering  
The switching signal design for global exponential stability of switched neutral systems is investigated in this paper.  ...  LMI-based delay-dependent and delay-independent criteria are proposed to guarantee the global stability via the constructed switching signal.  ...  Stability analysis of switched time-delay systems has been an attractive research topic 6-13 .  ... 
doi:10.1155/2009/191760 fatcat:3kys2qikwvabtdbs4qn742y6fq

Tutorial on Lyapunov-based methods for time-delay systems

Emilia Fridman
2014 European Journal of Control  
Time-delay naturally appears in many control systems, and it is frequently a source of instability. However, for some systems, the presence of delay can have a stabilizing effect.  ...  Therefore, stability and control of time-delay systems is of theoretical and practical importance.  ...  As in systems without delay, an efficient method for stability analysis of TDSs is the Lyapunov method.  ... 
doi:10.1016/j.ejcon.2014.10.001 fatcat:qdadinaqsnaylfpimpunc6ospi

New exponential stability criteria for neutral system with time-varying delay and nonlinear perturbations

Yuechao Ma, Lihong Zhu
2014 Advances in Difference Equations  
In this paper, the problem of exponential stability for neutral system with time-varying delay and nonlinear perturbations is investigated.  ...  By using the technology of model transformations, based on a linear matrix inequality (LMI) and a generalized Lyapunov-Krasovskii function, a new criterion for exponential stability with delay dependence  ...  Ali [] investigated the exponential stability for a neutral delay differential system with nonlinear uncertainties by following a generalized eigenvalue problem approach.  ... 
doi:10.1186/1687-1847-2014-44 fatcat:tu3diakw2jax3ljyag52ddfjem

New LMI-based Criteria for Lagrange Stability of Cohen-Grossberg Neural Networks with General Activation Functions and Mixed Delays

Xiaohong Wang, Huan Qi
2013 International Journal of Computational Intelligence Systems  
By virtue of Lyapunov functional and Halanay delay differential inequality, several new criteria in linear matrix inequalities (LMIs) form for the global exponential stability in Lagrange sense of CGNNs  ...  Moreover, detailed estimations of the globally exponentially attractive sets are given out.  ...  Acknowledgments The authors would like to thank the anonymous reviewers for their helpful comments and suggestions. This work is supported by National Natural Science  ... 
doi:10.1080/18756891.2013.805587 fatcat:hwcq7qp6t5gdfhdm4oqzgstvta

Delay-dependent stabilization of a class of time-delay nonlinear systems: LMI approach

Nadhem Echi, Amel Benabdallah
2017 Advances in Difference Equations  
This paper deals with the state and output feedback stabilization problems for a family of nonlinear time-delay systems satisfying some relaxed triangular-type condition.  ...  Based on the Lyapunov-Krasovskii functionals, global asymptotical stability of the closed-loop systems is achieved.  ...  Acknowledgements The authors express their sincere gratitude to the editors for useful comments that helped to improve the presentation of the results and accentuate important details.  ... 
doi:10.1186/s13662-017-1335-7 fatcat:w7n3ivzjenefni5wblql6yd6aq

Recent Progress in Stability and Stabilization of Systems with Time-Delays

Magdi S. Mahmoud
2017 Mathematical Problems in Engineering  
The overview sheds light on the contemporary development on the linear matrix inequality (LMI) techniques in deriving both delay-independent and delay-dependent stability results for time-delay systems  ...  This paper overviews the research investigations pertaining to stability and stabilization of control systems with time-delays.  ...  This approach is not applicable to the performance analysis (like the exponential decay rate) of the resulting continuous-time closed-loop system.  ... 
doi:10.1155/2017/7354654 fatcat:pagv2apkurhyjl6wmnquuj4fqa

A passivity approach to control of Markovian jump systems with mixed time-varying delays

Hamid Reza Karimi, Bahador Makki, Baharak Makki
2013 2013 XXIV International Conference on Information, Communication and Automation Technologies (ICAT)  
This paper investigated the problem of control design for a class of stochastic systems with Markovian jump parameters and time-varying delays.  ...  For the model under consideration, a passivity-based approach is introduced for designing mode-dependent output feedback controllers with mixed discrete and distributed delays.  ...  First, we study stability analysis of the problem under consideration for Markovian jump systems with time delays.  ... 
doi:10.1109/icat.2013.6684057 dblp:conf/icatech/KarimiMM13 fatcat:n66p45r4sbfvfavtmmgrmgnkuu

Mathematical Theories and Applications for Nonlinear Control Systems

Xue-Jun Xie, Ju H. Park, Hiroaki Mukaidani, Weihai Zhang
2019 Mathematical Problems in Engineering  
Hu in the paper entitled "A New Stability Criterion for Neutral Stochastic Delay Differential Equations with Markovian Switching" investigates a new stability theorem for neutral stochastic delay differential  ...  By applying the stochastic analysis technique and Razumikhin stability approach, a novel criterion of the th moment exponential stability is derived for the related systems.  ...  Acknowledgments The guest editorial team would like to express gratitude to all the authors for their interest in selecting this special issue as a venue for disseminating their scholarly work.  ... 
doi:10.1155/2019/2065786 fatcat:qx66v5pu3fgo7ee4rt7rn6rcj4

On the Liapunov–Krasovskii methodology for the ISS of systems described by coupled delay differential and difference equations

P. Pepe, I. Karafyllis, Z.-P. Jiang
2008 Automatica  
Computationally checkable LMI conditions, involving the Lipschitz constant, which yield the exponential stability of the solution are provided.  ...  The paper (Rasvan & Niculescu, 2002) focuses on forced oscillations for lossless propagation systems, described by linear coupled differential and difference equations with scalar, globally Lipschitz,  ...  Links between global exponential stability and ISS are an interesting topic to be investigated too.  ... 
doi:10.1016/j.automatica.2008.01.010 fatcat:b2fm6gw6hff3bpyl6ni47r532a
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