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Convergence Rate Analysis of a Class of Uncertain Variational Inequalities
Variational inequalities theory is a potent tool that can be employed to tackle diverse optimization problems, with applications spanning physics, economics, finance and beyond.
Cunlin Li, Teng Zhao, Hooi Min Yee
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The Exponentially Convergent Trapezoidal Rule [PDF]
It is well known that the trapezoidal rule converges geometrically when applied to analytic functions on periodic intervals or the real line. The mathematics and history of this phenomenon are reviewed, and it is shown that far from being a curiosity, it is linked with computational methods all across scientific computing, including algorithms related ...
Lloyd N. Trefethen, J. A. C. Weideman
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This article is concerned with the exponential synchronization of a class of the chaotic systems with external disturbance via the saturation control. Through appropriate coordinate transformation, the exponential synchronization is translated into the ...
Meichun Huang +3 more
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Convergence of infinite exponentials [PDF]
We give two tests of convergence for an infinite exponential \(a_1^{a_2^{a_3^{\swnedots}}}\). We also show that these tests are essentially the best possible.
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Collocation Method for Optimal Control of a Fractional Distributed System
In this paper, a collocation method based on the Jacobi polynomial is proposed for a class of optimal-control problems of a fractional distributed system. By using the Lagrange multiplier technique and fractional variational principle, the stated problem
Wen Cao, Yufeng Xu
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This article investigates an aggregative game based on Euler-Lagrange systems subject to time-varying communication delays. First, a distributed algorithm is put forward to try to find the Nash equilibrium by the deliberated group of Euler-Lagrange ...
Long Zhang, Ge Guo
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Double Accelerated Convergence ZNN with Noise-Suppression for Handling Dynamic Matrix Inversion
Matrix inversion is commonly encountered in the field of mathematics. Therefore, many methods, including zeroing neural network (ZNN), are proposed to solve matrix inversion.
Yongjun He +4 more
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Global Practical Stabilization and Tracking for an Underactuated Ship - A Combined Averaging and Backstepping Approach [PDF]
We solve both the global practical stabilization and tracking problem for an underactuated ship, using a combined integrator backstepping and averaging approach.
Kristin Y. Pettersen, Henk Nijmeijer
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Sliding Mode Control of Servo Feed System Based on Fuzzy Reaching Law
An adaptive sliding mode control method based on the fuzzy exponential convergence law is proposed to solve the jitter problem caused by the sliding mode control of the servo-feed system and to improve the tracking performance of the system.
Chong-Li Huang +3 more
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Due to the existence of time-varying chaotic disturbances in complex applications, the chaotic synchronization of sensor systems becomes a tough issue in industry electronics fields.
Dechao Chen, Shuai Li, Qing Wu
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