Lyapunov-based approach for finite time stability and stabilization [PDF]
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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Continuous Uniform Finite Time Stabilization of Planar Controllable Systems [PDF]
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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An improved closed-loop stability related measure for finite-precision digital controller realizations [PDF]
The pole-sensitivity approach is employed to investigate the stability issue of the discrete-time control system, where a digital controller, implemented with finite word length (FWL), is used.
Li, G. +5 more
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Finite-time stability of linear stochastic fractional-order systems with time delay
This paper focuses on the finite-time stability of linear stochastic fractional-order systems with time delay for α ∈ ( 1 2 , 1 ) $\alpha \in (\frac{1}{2},1)$ . Under the generalized Gronwall inequality and stochastic analysis techniques, the finite-time
Lassaad Mchiri +3 more
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Continuous Adaptive Finite Reaching Time Control and Second-Order Sliding modes [PDF]
This paper focuses on the design of adaptive finite reaching time control for first- and second-order dynamic systems with perturbation terms given in a regressive form. The uncertainties considered here are assumed to be bounded with unknown bounds. The
Spurgeon, Sarah K. +3 more
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Adaptive Finite-time and Fixed-time Control Design using Output Stability Conditions [PDF]
International audienceThe present paper provides a sufficient condition to ensure output finite-time and fixed-time stability. Comparing with analogous researches the proposed result is less restrictive and obtained for a wider class of systems.
Zimenko, Konstantin +5 more
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Finite Time Stability of Fractional Order Systems of Neutral Type
This work deals with a new finite time stability (FTS) of neutral fractional order systems with time delay (NFOTSs). In light of this, FTSs of NFOTSs are demonstrated in the literature using the Gronwall inequality.
Abdellatif Ben Makhlouf, Dumitru Baleanu
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In this paper, the problem of finite-time stability and finite-time boundedness for a class of linear switched singular positive time-delay systems with finite-time unstable subsystems is investigated.
Suriyon Yimnet, Piyapong Niamsup
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Finite-time stability of multiterm fractional nonlinear systems with multistate time delay
This work is mainly concentrated on finite-time stability of multiterm fractional system for 0 < α 2 ≤ 1 < α 1 ≤ 2 $0 < \alpha _{2} \leq 1 < \alpha _{1} \leq 2$ with multistate time delay.
G. Arthi, N. Brindha, Yong-Ki Ma
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Predefined Time Synchronization of Multi-Agent Systems: A Passivity Based Analysis
This paper deals with the predefined-time synchronization for a class of nonlinear multi-agent systems. The notion of passivity is exploited to design the controller for predefined-time synchronization of a nonlinear multi-agent system, where the time of
Vinay Pandey +4 more
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