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On Global Boundedness of Solutions for the Drift-diffusion Semiconductor Equations
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作者 GUO Xiu-lan ZHANG Yu-lan LI Gong-sheng 《Chinese Quarterly Journal of Mathematics》 CSCD 北大核心 2006年第4期590-596,共7页
This paper is devoted to the mixed initial-boundary value problem for the semiconductor equations. Using Stampacchia recurrence method, we prove that the solutions areglobally bounded and positive.
关键词 drift-diffusion model semiconductor equations global boundedness stampac-chia recurrence method
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BOUNDEDNESS PROPERTIES OF SOLUTIONS OF DOUBLY NONLINEAR PARABOLIC EQUATIONS 被引量:1
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作者 梁学信 《Acta Mathematica Scientia》 SCIE CSCD 1994年第S1期110-117,共8页
Consider a doubly nonlinear parabolic equation and prove the boundedness of its generalized solutions.
关键词 Doubly nonlinear perabelic equation Generalized solution Local and global boundedness.
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GLOBALLY BOUNDED IN-TIME SOLUTIONS TO A PARABOLIC-ELLIPTIC SYSTEM MODELLING CHEMOTAXIS 被引量:3
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作者 钟新华 江松 《Acta Mathematica Scientia》 SCIE CSCD 2007年第2期421-429,共9页
In this article, the globally bounded in-time pointwise estimate of solutions to the simplified Keller-Segel system modelling chemotaxis are derived. Moreover, a local existence theorem is obtained.
关键词 Keller-Segel system CHEMOTAXIS globally bounded
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Global Bounded Solutions for the Keller-Segel Chemotaxis System with Singular Sensitivity
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作者 Khalid Ahmed Abbakar Omer Khalil +3 位作者 Alhussein Mohamed Bechir Mahamat Abdoulaye Ali Abeer Alhadi 《Applied Mathematics》 2020年第10期985-990,共6页
In this paper, we consider the Neumann initial-boundary value problem for the Keller-Segel chemotaxis system with singular sensitivity <img src="Edit_4b941130-fc1e-4c9b-9626-4fd5a1f03836.bmp" alt="&q... In this paper, we consider the Neumann initial-boundary value problem for the Keller-Segel chemotaxis system with singular sensitivity <img src="Edit_4b941130-fc1e-4c9b-9626-4fd5a1f03836.bmp" alt="" />(0.1)<br /> <p> is considered in a bounded domain with smooth boundary, Ω &#8834;R<sup><i>n</i></sup> (<i>n</i> ≥ 1), where <i>d</i><sub>1</sub> > 0, <i>d</i><sub>2</sub> > 0 with parameter <i>χ</i> ∈ R. When <i>d</i><sub>1</sub> = <i>d</i><sub>2</sub> + <i>χ</i>, satisfying for all initial data 0 ≤ <i>n</i><sub>0</sub> ∈ <i>C</i><sup>0</sup><img src="Edit_4898c7a9-f047-4856-b9ad-8d42ecf262a2.bmp" alt="" /> and 0 < <i>v</i><sub>0</sub>∈ <i>W</i><sup>1,∞</sup> (Ω), we prove that the problem possesses a unique global classical solution which is uniformly bounded in Ω × (0, ∞). </p> 展开更多
关键词 Keller-Segel System CHEMOTAXIS global Bounded Solution Singular Sensitivity
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Controller design for stochastic nonlinear systems with matched conditions 被引量:1
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作者 LI Guifang Ye-Hwa CHEN 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 2018年第1期160-165,共6页
This paper is concerned with the global boundedness problem for a class of stochastic nonlinear systems with matched conditions. The uncertainties in the systems are due to parameter variations and external stochastic... This paper is concerned with the global boundedness problem for a class of stochastic nonlinear systems with matched conditions. The uncertainties in the systems are due to parameter variations and external stochastic disturbance. Only the matched conditions and the possible bound of the uncertainties are demanded. Based on the stochastic Lyapunov stability theory, an explicit controller is constructed in the gradient direction, which renders responses of the closed-loop systems be globally bounded in probability. When the systems degrade to linear systems, the controller becomes linear. Illustrative examples are given to show the effectiveness of the proposed method. 展开更多
关键词 stochastic nonlinear systems UNCERTAINTY matched conditions global boundedness in probability
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Tracking Control of Uncertain Nonlinear Systems With Unknown Constant Input Delay 被引量:6
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作者 Ashish Kumar Jain Shubhendu Bhasin 《IEEE/CAA Journal of Automatica Sinica》 EI CSCD 2020年第2期420-425,共6页
A robust delay compensator has been developed for a class of uncertain nonlinear systems with an unknown constant input delay.The control law consists of feedback terms based on the integral of past control values and... A robust delay compensator has been developed for a class of uncertain nonlinear systems with an unknown constant input delay.The control law consists of feedback terms based on the integral of past control values and a novel filtered tracking error,capable of compensating for input delays.Suitable Lyapunov-Krasovskii functionals are used to prove global uniformly ultimately bounded(GUUB)tracking,provided certain sufficient gain conditions,dependent on the bound of the delay,are satisfied.Simulation results illustrate the performance and robustness of the controller for different values of input delay. 展开更多
关键词 global uniformly ultimately bounded stability Lyapunov-Krasovskii functionals nonlinear systems tracking control unknown input delay
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Adaptive feedback control for nonlinear triangular systems subject to uncertain asymmetric dead-zone input 被引量:1
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作者 Minghui Feng Yanjie Chang +1 位作者 Zhiyu Duan Xianfu Zhang 《Control Theory and Technology》 EI CSCD 2023年第4期530-540,共11页
In this paper,an adaptive control strategy is proposed to investigate the issue of uncertain dead-zone input for nonlinear triangular systems with unknown nonlinearities.The considered system has no precise priori kno... In this paper,an adaptive control strategy is proposed to investigate the issue of uncertain dead-zone input for nonlinear triangular systems with unknown nonlinearities.The considered system has no precise priori knowledge about the dead-zone feature and growth rate of nonlinearity.Firstly,a dynamic gain is introduced to deal with the unknown growth rate,and the dead-zone characteristic is processed by the adaptive estimation approach without constructing the dead-zone inverse.Then,by virtue of hyperbolic functions and sign functions,a new adaptive state feedback controller is proposed to guarantee the global boundedness of all signals in the closed-loop system.Moreover,the uncertain dead-zone input problem for nonlinear upper-triangular systems is solved by the similar control strategy.Finally,two simulation examples are given to verify the effectiveness of the control scheme. 展开更多
关键词 Dead-zone input Dynamic gain Adaptive estimation global boundedness
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