Results 11 to 20 of about 627,844 (260)
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]
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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A note on finite-time and fixed-time stability [PDF]
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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Lyapunov-based fixed-time stabilization control of quantum systems
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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New Fixed-Time Stability Theorems for Delayed Fractional-Order Systems and Applications
This paper examines the problem of improved fixed-time stability for generalized delayed fractional-order systems (FOSs). As a first step, some stability conditions are presented in two theorems to verify fixed-time stability (F-TS) of FOSs by using ...
Udhayakumar Kandasamy +3 more
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Finite-time synchronization for chaotic neural networks with stochastic disturbances
In this paper, we focus on the problem of synchronization for chaotic neural networks with stochastic disturbances. Firstly, we provide a basic result that the systems including the drive system, response system, and error system have a unique solution ...
Xuejun Shi, Yongshun Zhao, Xiaodi Li
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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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Aiming at the problem of fixed and preassigned-time synchronization of drive-response networks with discontinuous activation function, we derive a fixed-time stability theorem with more accurate stable time estimation for discontinuous systems by ...
LI Xingrui +5 more
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Fixed-Time Stabilization of Nonlinear System and its Application into General Neural Networks
In this paper, fixed-time stability problem of nonlinear system is investigated. Firstly, a new fixed-time stability theorem is established, and a higher precise estimate of settling time is provided.
Jiaju Yu, Shuanghe Yu, Yan Yan
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Fixed-Time Synergetic Approach for Biological Pest Control Based on Lotka-Volterra Model
Biological pest control has a strong advantage in its non-chemical effects on the environment. In this study, a fixed-time synergetic control scheme for the biological pest control problems represented by the $n$ -dimensional Lotka-Volterra model was ...
Arsit Boonyaprapasorn +7 more
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