ISS characterization of retarded switching systems with relaxed Lyapunov–Krasovskii functionals
2022 IEEE 61st Conference on Decision and Control (CDC), 2022 This paper gives further insights about the Lyapunov-Krasovskii characterization of input-tostate stability (ISS) for switching retarded systems on the basis of the results in [I. Haidar and P. Pepe. Lyapunov-krasovskii characterization of the input-to-state stability for switching retarded systems.
Haidar, Ihab, Pepe, Pierdomenico
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Constructing Lyapunov-Krasovskii functionals for linear time delay systems
Proceedings of the 2005, American Control Conference, 2005., 2005 We present an algorithmic methodology for constructing Lyapunov-Krasovskii (L-K) functionals for linear time-delay systems, using the sum of squares decomposition of multivariate polynomials to solve the related infinite dimensional linear matrix inequalities (LMIs).
Papachristodoulou, A +3 more
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Stability Analysis of Switched Systems Using Lyapunov-Krasovskii Functionals [PDF]
IFAC Proceedings Volumes, 2011 Abstract Piecewise Lyapunov-Razumikhin functions are previously used for obtaining a lower bound for the dwell time of the switched time delay systems under the assumption that each candidate system is delay dependently stable. In this work, using Lyapunov-Krasovskii functionals, a less conservative lower bound for the dwell time is obtained ...
Caliskan, S.Y. +2 more
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On Lyapunov-Krasovskii Functionals for Switched Nonlinear Systems with Delay [PDF]
, 2013 We present a set of results concerning the existence of Lyapunov-Krasovskii functionals for classes of nonlinear switched systems with time-delay. In particular, we first present a result for positive systems that relaxes conditions recently described in [11] for the existence of L-K functionals.
Mason, Oliver, Aleksandrov, A. Yu.
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Diagonal Lyapunov–Krasovskii functionals for discrete-time positive systems with delay [PDF]
Systems & Control Letters, 2014 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Alexander Yu. Aleksandrov, Oliver Mason
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Absolute stability and Lyapunov–Krasovskii functionals for switched nonlinear systems with time-delay [PDF]
Journal of the Franklin Institute, 2014 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Alexander Yu. Aleksandrov, Oliver Mason
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Construction of Lyapunov-Krasovskii functional for time-varying delay systems [PDF]
2008 47th IEEE Conference on Decision and Control, 2008 This paper provides some new techniques to construct a Lyapunov-Krasovskii functional for time varying delay systems. The construction is based on a partitioning scheme of the time-varying delay leading to a new type of Lyapunov-Krasovskii functional. This functional is depending on an augmented state and also on an integral quadratic constraint added ...
Yassine Ariba, Frédéric Gouaisbaut
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MachinesThis paper presents a novel control design methodology for a magnetorheological (MR) damper-based semi-active suspension system operating under communication-induced time delays, which introduce nonlinear sampled-data dynamics.
Fernando Viadero-Monasterio +3 more
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Building coercive Lyapunov-Krasovskii functionals based on Razumikhin and Halanay approaches
International Journal of Robust and Nonlinear Control, 2023 In this paper, we provide a systematic and constructive way to build a Lyapunov-Krasovskii functional for time-delay systems whose stability can be established through the Razumikhin or the Halanay approaches. The constructed Lyapunov-Krasovskii functional turns out to be coercive, meaning sandwiched between functions of the state history norm, and to ...
Loko, Epiphane +2 more
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Stabilization and control of unstable discrete linear delay systems using pole-placement and Lyapunov-Krasovskii Functional Methods [PDF]
مجلة جامعة الزيتونةStabilizing and controlling unstable discrete linear delay systems present significant challenges, primarily due to the destabilizing effects of time delays.
Abdunaser Abdusamad, Farag Mousa
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