Results 1 to 10 of about 2,196,852 (174)
Fixed-Time Synchronization Analysis for Complex-Valued Neural Networks via a New Fixed-Time Stability Theorem [PDF]
IEEE Access, 2020 Based on variable substitution, calculating definite integral and solving the minimization problem, in this paper we establish a new fixed-time stability theorem, which can provide a novel upper bound estimate formula for the settling time.
Ling Mi +4 more
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Global Fixed-Time Stability of General Stochastic Nonlinear Systems
ComplexityIn this article, the fixed-time stabilization issue is investigated for a kind of general p-norm stochastic nonlinear systems. The feature of the considered systems is that all powers are any positive rational numbers, which means this type of systems ...
Liandi Fang, Daohong Zhu, Zhenzhen Long
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Fixed-Time Stability, Uniform Strong Dissipativity, and Stability of Nonlinear Feedback Systems
MathematicsIn this paper, we develop new necessary and sufficient Lyapunov conditions for fixed-time stability that refine the classical fixed-time stability results presented in the literature by providing an optimized estimate of the settling time bound that is ...
Wassim M. Haddad +2 more
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Nonsingular Global Fixed‐Time Stabilization for Nonlinear Systems [PDF]
Complexity, 2021 Since existing results about fixed‐time stabilization are only applied to strict feedback systems, this paper investigates the nonsingular fixed‐time stabilization of more general high‐order nonlinear systems. Based on a novel concept named coordinate mapping of time domain, a control method is first proposed to transform the nonsingular fixed‐time ...
Wei Hu, Zhangyong Zhou, Junjun Tang
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Fixed-Time Fractional-Order Sliding Mode Control for UAVs under External Disturbances
Fractal and Fractional, 2023 The present paper investigates a fixed-time tracking control with fractional-order dynamics for a quadrotor subjected to external disturbances. After giving the formulation problem of a quadrotor system with six subsystems like a second-order system, a ...
Abdellah Benaddy +3 more
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Journal of Marine Science and Engineering, 2023 This paper is concerned with the consensus of a system involving multiple underactuated autonomous underwater vehicles (AUVs). Combined with a dynamic event-triggered mechanism and a fixed-time stability theorem, the backstepping average consensus ...
Zhuo Wang +3 more
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Fixed‐time output stabilization and fixed‐time estimation of a chain of integrators [PDF]
International Journal of Robust and Nonlinear Control, 2018 SummaryA solution to the problem of global fixed‐time output stabilization and estimation of a chain of integrators is proposed. A nonlinear scheme comprising a state feedback controller and a dynamic observer are designed to guarantee both fixed‐time estimation and fixed‐time control.
Lopez-Ramirez, Francisco +3 more
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A new fixed-time stability criterion for fractional-order systems
AIMS Mathematics, 2022 In this work, we study the fixed-time stability of fractional-order systems. By virtue of the properties of Riemann-Liouville fractional derivative and the comparison principle, we derive a new fixed-time stability theorem for fractional-order systems ...
Yucai Ding, Hui Liu
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Robust Fixed-Time Stability: Application to Sliding-Mode Control [PDF]
IEEE Transactions on Automatic Control, 2022 This article deals with robust fixed-time stability and stabilization. First, new global robust fixed-time stability results are proposed for scalar systems by using constant and variable exponent coefficients. Then, they are applied to global robust fixed-time stabilization of a class of uncertain nonlinear second order systems by using sliding mode ...
Emmanuel Moulay +3 more
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On Finite/Fixed-Time Stability Theorems of Discontinuous Differential Equations
Mathematics, 2022 We investigated the finite/fixed-time stability (FNTS/FXTS) of discontinuous differential equations (DDEs) in this paper. To cope with differential equations that were discontinuous on the right-hand side, we utilized the Filippov solution, which is ...
Luke Li, Dongshu Wang
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