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absolute stability OF TIME-VARYING NONLINEAR CONTROL SYSTEM

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Acta Mathematica Scientia 1999年第4期19卷 442-448页

作者：肖冬梅邓宗琦 Department of Mathematics Central China Normal University Wuhan 430079 China

In this paper the authors study two classes of time-varying nonlinear control systems. A few sufficient conditions of absolute stability of these systems were obtained by means of classical analysis and the analogue of the variation of constants formula of nonlinear systems. Moreover, they gave some sufficient conditions of absolute stability in Hurwitz angle for these systems.

关键词： absolute stability two classes time-varying nonlinear control system

absolute stability OF CONTROL SYSTEM WITH MULTI-NONLINEAR FEEDBACK TERMS

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Acta Mathematica Scientia 1996年第3期16卷 302-307页

作者：廖晓昕王晓君舒卫华吴卫华 Dept. of Mathematics Huazhong Sci. & Tech. Univ. Wuhan 430074 China Dept. of Mathematics Huazhong Normal Univ. Wuhan 430070 China

In this paper, the absolute stability of control systems with multi nonlinear feedback terms are studied. The sufficient and necessary conditions of absolute stability are obtained. Some applied sufficient conditions ... 详细信息

关键词： control system multi-nonlinear feedback absolute stability

absolute stability of Nonlinear Systems with Two Additive Time-varying Delay Components

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International Journal of Automation and computing 2011年第4期8卷 391-402页

作者： Bassem Ben Hamed Mohamed Chaabane Walid Kacem Higher Institute of Applied Sciences and Technology of Gab`es Department of Mathematics Street Amor Ben El Khatab 6029 Gab`es Tunisia National Engineering School of Sfax Department of Electrical Engineering Street Soukra km 3.5 B.P. 1173 3038 Sfax Tunisia

In this paper, we present a new sufficient condition for absolute stability of Lure system with two additive time-varying delay components. This criterion is expressed as a set of linear matrix inequalities （LMIs）, which can be readily tested by using standard numerical software. We use this new criterion to stabilize a class of nonlinear time-delay systems. Some numerical examples are given to illustrate the applicability of the results using standard numerical software.

关键词： Time-varying delay system additive delay absolute stability linear matrix inequalities (LMIs) S-procedure Lyapunov Krasovskii functional stabilization.

absolute stability OF GENERAL LURIE TYPE INDIRECT CONTROL SYSTEMS

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Acta Mathematicae Applicatae Sinica 2001年第1期17卷 81-85页

作者：甘作新葛渭高赵素霞仵永先 Department of Applied Mathematics Beijing Institute of Technology Beijing China Department of Mathematics Liaoning Normal University Dalian China

In this paper, by introducing a new concept of absolute stability for a certain argument, necessary and sufficient conditions for absolute stability of general Lurie indirect control systems are obtained, and some pra... 详细信息

关键词： General Lurie indirect system absolute stability Lyapunov function

absolute stability of the solidification interface in a laser resolidified Zn-2wt.%Cu hypoperitectic alloy

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Chinese Physics B 2006年第7期15卷 1631-1637页

作者：苏云鹏林鑫王猛薛营黄卫东 State Key Laboratory of Solidification Processing Northwestern Polytechnical University Xi'an 710072 China

This paper reports on laser surface remelting experiments performed on a Zn-2wt.%Cu hypoperitectic alloy by employing a 5kW CW CO2 laser at scanning velocities between 6 and 1207mm/s. The growth velocities of the mi- crostructures in the laser molten pool were accurately measured. The planar interface structure caused by the high velocity absolute stability was achieved at a growth velocity of 210 mm/s. An implicit expression of the critical solidification velocity for the cellular-planar transition was carried out by nonlinear stability analyses of the planar interface. The results showed a better agreement with the measured critical velocity than that predicted by M-S theory. Cell-free structures were observed throughout the whole molten pool at a scanning velocity of 652 mm/s and the calculated minimum temperature gradient in this molten pool was very close to the critical temperature gradient for high gradient absolute stability （HGAS） of the η phase. This indicates that HGAS was successfully achieved in the present experiments.

关键词： rapid solidification absolute stability laser surface resolidification Zn-Cu peritectic alloy

ON THE absolute stability OF A CLASS OF INDIRECT CONTROL SYSTEMS

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Applied Mathematics and Mechanics(English Edition) 2000年第7期21卷 809-818页

作者：赵洪涌滕志东 College of Mathematics Sichuan University Chengdu P R China Department of Mathematics Xinjiang University Ürümqi P R China

The absolute stability of a class of indirect control systems was studied by applying the theory of Hermitian quadratic form and Jordan normal form. The algebraic formal criteria for the absolute stability are establi... 详细信息

关键词： indirect control system absolute stability Hermitian quadratic form Jordan normal form

absolute stability for Lure Systems with Time-varying Delay and Disturbance

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Absolute Stability for Lure Systems with Time-varying Delay ...

Delay-dependent absolute stability criterion for Lurie system with probabilistic interval time-varying delay

第25届中国控制与决策会议

作者： Feng Jian Li Ning Wang Shenquan School of Information Science and Engineering Northeastern University

ISBN: (纸本)9781467355339

This paper is concerned with the absolute stability criteria of Lure systems with time-varying delay and disturbance. Two cases of time-varying delay are given, one is continuous-uniformly bounded and the other one is differentiable-uniformly bounded with the derivative of the delay bounded by a constant. Based on Lyapunov function method, some absolute stability criteria are achieved in terms of linear matrix inequities. Numerical examples are given to show the effectiveness of the obtained results.

关键词： Lure systems absolute stability time-varying delay disturbance Lyapunov function linear matrix inequalities

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控制理论与应用（英文版） 2012年第4期10卷 477-482页

作者： Mingxiang XUE Shumin FEI Tao LI Juntao PAN Key Laboratory of Measurement and Control of CSE of Ministry of Education Southeast University School of Mathematical Sciences Anhui University School of Automation Engineering Nanjing University of Aeronautics and Astronautics

In this paper, the absolute stability of Lurie control system with probabilistic time-varying delay is studied. By using a new extended Lyapunov-Krasovskii functional, an improved stability criterion based on LMIs is presented and its solvability heavily depends on the sizes of both the delay range and its derivatives, which has wider application fields than those present results. The efficiency and reduced conservatism of the presented results can be demonstrated by two numerical examples with giving some comparing results.

关键词： Lurie control system absolute stability Probabilistic time-varying delay Linear matrix inequality (LMI)

absolute stability OF THE GENERAL LURIE TYPE ROBUST SYSTEMS

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Annals of Differential Equations 2000年第1期16卷 34-40页

作者：甘作新葛渭高

In this paper, the absolute stability of general Lurie type robust control system has been discussed by using the method of Lyapunov function. Some more practical sufficient conditions of absolute stability for the above system are obtained by adjusting the coefficients of Lyapunov functions and parameters of S-procedure. Examples are given to illustrate the method of this paper and the application of new algebraic criteria for absolute stability.

关键词： absolute stability general Lurie systems Lyapunov function