Results 21 to 30 of about 17,724,365 (285)
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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IEEE Access, 2022 Our paper investigates complex modified function projective lag synchronization with fixed-time stability guarantees for hyperchaotic systems via a FxTC proposal.
Anh Tuan Vo +2 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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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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Fixed-time output stabilization of a chain of integrators [PDF]
2016 IEEE 55th Conference on Decision and Control (CDC), 2016 A solution to the problem of global fixed-time output stabilization of a chain of integrators is proposed. A nonlinear state feedback and a dynamic observer are designed in order to guarantee both fixed-time estimation and fixed-time control. Robustness with respect to exogenous disturbances and measurement noises is established. The performance of the
Lopez-Ramirez, Francisco +3 more
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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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A note on finite-time and fixed-time stability [PDF]
Neural Networks, 2016 In this letter, by regarding finite-time stability as an inverse problem, we reveal the essence of finite-time stability and fixed-time stability. Some necessary and sufficient conditions are given. As application, we give a new approach for finite-time and fixed-time synchronization and consensus.
Wenlian Lu, Xiwei Liu, Tianping Chen
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IET Control Theory & Applications, 2021 The paper devotes to study fixed‐time stability of stochastic nonlinear systems and fixed‐time consensus of stochastic multi‐agent systems (SMASs). Firstly, a new fixed‐time stability theorem is established and a high‐precise estimation of settling time ...
Jiaju Yu, Shuanghe Yu, Yan Yan
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Lyapunov-based fixed-time stabilization control of quantum systems
Journal of Automation and Intelligence, 2022 In this paper, we consider the fixed-time stabilization control problem of quantum systems modeled by Schrödinger equations. Firstly, the Lyapunov-based fixed-time stability criterion is extended to finite-dimensional closed quantum systems in the form ...
Xiaolei Li, Changyun Wen, Jiange Wang
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