摘要 :
A whole impulsive control scheme of nonlinear systems with time-varying delays, which is an extension for impulsive control of nonlinear systems without time delay, is presented in this paper. Utilizing the Lyapunov functions and ...
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A whole impulsive control scheme of nonlinear systems with time-varying delays, which is an extension for impulsive control of nonlinear systems without time delay, is presented in this paper. Utilizing the Lyapunov functions and the impulsive-type comparison principles, we establish a series of different conditions under which impulsively controlled nonlinear systems with time-varying delays are asymptotically stable. Then we estimate upper bounds of impulse interval and time-varying delays for asymptotically stable control. Finally a numerical example is given to illustrate the effectiveness of the method.
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摘要 :
Energy especially for rapid electricity consumption increasing is an obvious problem during the process of urbanization and economic growth. It is also an important research field to explore intrinsic regular pattern of electricit...
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Energy especially for rapid electricity consumption increasing is an obvious problem during the process of urbanization and economic growth. It is also an important research field to explore intrinsic regular pattern of electricity consumption and provide solving approaches. Firstly, this paper studies the relationship between electricity consumption and urbanization via GMM model by stages and regions. The results show that the most obvious stage of urbanization on electricity consumption is the stage between 1992-2000. The residents’ income has an evident infl uence on electricity consumption of east region and industry also has generated stronger driving force in central and west regions. Then the paper analyzes the relationship between urbanization and electricity consumption by impulse function and gray correlation, and the variables of urbanization and industrialization both have various positive impulse effect. Estimating the gray correlation, central provinces with high population density and large shares of industry have high correlation degree in urbanization and electricity consumption.
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摘要 :
In this article, criteria of eventual stability are established for impulsive differential systems using piecewise continuous Lyapunov functions. The sufficient conditions that are obtained significantly depend on the moments of i...
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In this article, criteria of eventual stability are established for impulsive differential systems using piecewise continuous Lyapunov functions. The sufficient conditions that are obtained significantly depend on the moments of impulses. An example is discussed to illustrate the theorem.
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摘要 :
In this paper, we will extend the strict stability to impulsive differential equations. By using Lyapunov functions, we will get some criteria for the strict stability of impulsive differential equations, and we can see that impul...
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In this paper, we will extend the strict stability to impulsive differential equations. By using Lyapunov functions, we will get some criteria for the strict stability of impulsive differential equations, and we can see that impulses do contribute to the system's strict stability behavior. An example is also given in this paper to illustrate the efficiency of the obtained results.
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