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Finite-time stabilization of interconnected nonlinear systems
2013 IEEE International Conference on Control Applications (CCA), 2013 International audienceThis paper deals with the finite-time stability and stabilization problems of interconnected nonlinear systems. We consider that there exist a finite-time stable controller for each isolated system for which is added a control part ...
Zoghlami, Naim +7 more
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, 2014 Ce manuscrit est dédié à l'étude de la stabilité et la stabilisation en temps fini des systèmes dynamiques interconnectés et problème de consensus en temps fini.
Zoghlami, Naïm
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Finite-Time Stability Under Denial of Service [PDF]
IEEE Systems Journal, 2021 Finite-time stability of networked control systems under Denial of Service (DoS) attacks are investigated in this paper, where the communication between the plant and the controller is compromised at some time intervals. Toward this goal, first an event-triggered mechanism based on the variation rate of the Lyapunov function is proposed such that the ...
Mohammadreza Doostmohammadian +1 more
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Visnik Harkivsʹkogo Nacionalʹnogo Universitetu im. V.N. Karazina. Cepiâ Matematika, Prikladna Matematika i Mehanika, 2021 We prove a small-gain sufficient condition for (global) finite-time input-to-state stability (FTISS) of infinite networks. The network under consideration is composed of a countable set of finite-dimensional subsystems of ordinary differential equations,
Svyatoslav Pavlichkov
doaj +1 more source
On Notions of Output Finite-Time Stability [PDF]
2019 18th European Control Conference (ECC), 2019 Lyapunov characterizations of output finite-time stability are presented for the system $x' = f (x), y = h(x)$ which is locally Lipschitz continuous out of the set $Y = {x ∈ R n : h(x) = 0}$ and continuous on $R^n$. The definitions are given in the form of $K$ and $KL$ functions.
Zimenko, Konstantin +3 more
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Finite time stability of differential inclusions [PDF]
IMA Journal of Mathematical Control and Information, 2005 In this paper, the problem of finite time stability is investigated for differential inclusion. Two sufficient conditions for finite time stability, using a smooth Lyapunov function and a nonsmooth one, are established. Then, the same idea is used to give two necessary conditions.
Emmanuel Moulay, Wilfrid Perruquetti
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Prescribed Finite Time Stabilization of Linear Systems With State Constraints
IEEE Access, 2021 This paper studies the prescribed finite time stabilization control problem of multi-input linear control systems subject to uncertainties and state constraints.
Tingting Yang +3 more
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Lyapunov-based approach for finite time stability and stabilization [PDF]
Proceedings of the 44th IEEE Conference on Decision and Control, 2006 Finite time stability is investigated for continuous system ẋ = f(x) which satisfies uniqueness of solutions in forward time. A necessary and sufficient condition is given for this class of systems using Lyapunov functions. Then, a necessary and sufficient condition is developed for finite time stabilization of class CLk-affine systems involving a ...
Emmanuel Moulay, Wilfrid Perruquetti
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Finite-Time Stabilization Procedures for Discrete-Time Nonlinear Systems in Feedback Form
IEEE Access, 2021 New control procedures for finite-time stabilization of discrete-time nonlinear systems in the strict-feedback form are proposed. The proposed designs enjoy the properties of being dependent on one design parameter and the ability to bring the state ...
Salim Ibrir
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Continuous Uniform Finite Time Stabilization of Planar Controllable Systems [PDF]
, 2015 Continuous homogeneous controllers are utilized in a full state feedback setting for the uniform finite time stabilization of a perturbed double integrator in the presence of uniformly decaying piecewise continuous disturbances.
Oza, HB +5 more
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