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Stability of networked control systems: A Lyapunov–Krasovskii functional plus approach
ISA Transactions, 2023This paper is concerned with stability for networked control systems with a transmission delay and data packet dropouts. A hybrid model is formulated for the networked control systems to separate the constant delay and data packet dropouts, and a stability theorem is established for the hybrid model.
Zhong-Hua Pang +2 more
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The Problem of the Absolute Continuity for Liapunov-Krasovskii Functionals
Proceedings of the 45th IEEE Conference on Decision and Control, 2006 The condition of non-positivity, almost everywhere, of the upper right-hand Dini derivative of a (simply) continuous function is not a sufficient condition for such function to be non-increasing. That condition is sufficient for the non-increasing property if the function is locally absolutely continuous. Therefore, if the time function obtained by the
PEPE, PIERDOMENICO
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Stabilization of retarded systems of neutral type by control Lyapunov–Krasovskii functionals
Systems & Control Letters, 2016 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
PEPE, PIERDOMENICO
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Discretization schemes for Lyapunov-Krasovskii functionals in time-delay systems. [PDF]
Kybernetika, 2001 Summary: This article gives an overview of discretized Lyapunov functional methods for time-delay systems. Quadratic Lyapunov-Krasovskii functionals are discretized by choosing the kernel to be piecewise linear. As a result, the stability conditions may be written in the form of linear matrix inequalities.
Gu, Keqin
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New Lyapunov–Krasovskii Functionals for Global Asymptotic Stability of Delayed Neural Networks
IEEE Transactions on Neural Networks, 2009 This brief deals with the problem of global asymptotic stability for a class of delayed neural networks. Some new Lyapunov-Krasovskii functionals are constructed by nonuniformly dividing the delay interval into multiple segments, and choosing proper functionals with different weighting matrices corresponding to different segments in the Lyapunov ...
Xian-Ming Zhang, Qing-Long Han
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Lyapunov‐Krasovskii functionals for additional dynamics
International Journal of Robust and Nonlinear Control, 2003AbstractA class of Lyapunov–Krasovskii functionals for the additional dynamics introduced by special transformation of time delay systems is given in the paper. Some basic properties of the functionals are also discussed. Copyright © 2003 John Wiley & Sons, Ltd.
Kharitonov, Vladimir L. +1 more
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Lyapunov-Krasovskii functional for coupled differential-functional equations
2007 46th IEEE Conference on Decision and Control, 2007This article discusses the Lyapunov-Krasovskii functional approach for the stability problem of coupled differential-functional equations. Such systems include as special cases many types of time-delay systems, including lossless propagation model, some neutral time-delay systems and singular time-delay systems.
Keqin Gu, Yi Liu
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Remarks on Regularity Properties of Lyapunov-Krasovskii Functionals
2018 IEEE 14th International Conference on Control and Automation (ICCA), 2018In this work we consider regularity properties of Lyapunov-Krasovskii functionals for delay systems that are asymptotically stable. We will show that under the Lipschitz condition on bounded and closed subsets for the system, a Lyapunov-Krasovskii functional can be chosen to be Lipschitz on bounded and closed subsets.
Yuandan Lin, Yuan Wang 0005
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Lyapunov–Krasovskii functionals for homogeneous time delay systems of neutral type
International Journal of Robust and Nonlinear Control, 2021AbstractIn this article, we present a general construction of Lyapunov–Krasovskii functionals for a class of neutral‐type time delay systems with a linear difference part and homogeneous right‐hand sides of degree strictly greater than one. Under an assumption that the corresponding difference matrix equation as well as a system with zero delays are ...
Irina V. Alexandrova, Alexey P. Zhabko
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Lyapunov-Krasovskii functionals for integral delay equations
IFAC Proceedings Volumes, 2003Abstract In this paper we show the existence of complete type Lyapunov-Krasovskii functionals to study the stability and robust stability of some class of integral delay equations. This special class of integral delay equations appear in the stability analysis of both the additional dynamics introduced by system transformations and the internal ...
Daniel Melchor-Aguilar +2 more
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