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This paper studies the stability of linear continuous-time systems with time-varying delay by employing new Lyapunov–Krasovskii functionals. Based on the new Lyapunov–Krasovskii functionals, more relaxed stability criteria are obtained. Firstly, in order to coordinate with the use of the third-order Bessel-Legendre inequality, a proper quadratic functional is constructed. Secondly, two couples of integral terms and are involved in the integral functionals and respectively, so that the coupling information between them can be fully utilized. Finally, two commonly-used numerical examples are given to demonstrate the effectiveness of the proposed method. 相似文献
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Xiongping Dai Tingwen Huang Yu Huang Yi Luo Gang Wang Mingqing Xiao 《Journal of The Franklin Institute》2017,354(10):4126-4155
Given any finite family of real d-by-d nonsingular matrices by extending the well-known Li–Yorke chaos of a deterministic nonlinear dynamical system to a discrete-time linear inclusion or hybrid or switched system:
we study the chaotic dynamics of the state trajectory (xn(x0, σ))n ≥ 1 with initial state governed by a switching law . Two sufficient conditions are given so that for a “large” set of switching laws σ, there exhibits the scrambled dynamics as follows: for all This implies that there coexist positive, zero and negative Lyapunov exponents and that the trajectories (xn(x0, σ))n ≥ 1 are extremely sensitive to the initial states . We also show that a periodically stable linear inclusion system, which may be product unbounded, does not exhibit any such chaotic behavior. An explicit simple example shows the discontinuity of Lyapunov exponents with respect to the switching laws. 相似文献
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Xingping Sheng 《Journal of The Franklin Institute》2018,355(10):4282-4297
The present work proposes a relaxed gradient based iterative (RGI) algorithm to find the solutions of coupled Sylvester matrix equations . It is proved that the proposed iterative method can obtain the solutions of the coupled Sylvester matrix equations for any initial matrices X0 and Y0. Next the RGI algorithm is extended to the generalized coupled Sylvester matrix equations of the form . Then, we compare their convergence rate and find RGI is faster than GI, which has maximum convergence rate, under an appropriative positive number ω and the same convergence factor µ1 and µ2. Finally, a numerical example is included to demonstrate that the introduced iterative algorithm is more efficient than the gradient based iterative (GI) algorithm of (Ding and Chen 2006) in speed, elapsed time and iterative steps. 相似文献
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投资者偏爱地理位置近的上市公司的现象被称为地缘效应,其成因一直是资本市场中的一个未解之谜。本文以上海、天津、大连的3710名投资者为研究样本,从信息优势角度解释了地缘效应。研究发现,中国资本市场内部存在地缘效应;信息优势与地缘效应之间存在倒U型关系,即当信息优势小于临界值时,地缘效应随着信息优势的增强而增强;当信息优势大于临界值时,地缘效应随着信息优势的增强而减弱。研究认为随着信息优势强度的增加,信息目标由少到多,信息涉及的上市公司由近及远,由此使得投资者投资的分散程度不断提高,这是信息优势与地缘效应之间呈现倒U型关系的主要原因。 相似文献
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Shen-Ping Xiao Hong-Hai Lian Kok Lay Teo Hong-Bing Zeng Xiao-Hu Zhang 《Journal of The Franklin Institute》2018,355(17):8857-8873
This paper discusses the problem of synchronization for delayed neural networks using sampled-data control. We introduce a new Lyapunov functional, called complete sampling-interval-dependent discontinuous Lyapunov functional, which can adequately capture sampling information on both intervals from to and from to . Based on this Lyapunov functional and an improved integral inequality, less conservative conditions are derived to ensure the stability of the synchronization error system, leading to the fact that the drive neural network is synchronized with the response neural network. The desired sampled-data controller is designed in terms of solutions to linear matrix inequalities. A numerical example is provided to demonstrate that the proposed approaches are effective and superior to some existing ones in the literature. 相似文献
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杜瑞萍 《科技成果管理与研究》2009,(2):90-91,89
气井一点法试井工艺技术简单,施工成本低,施工周期短,已广泛应用于大牛地气田气井产能预测和评价,一点法试井只要求测取稳定的地层压力、一个工作制度下的稳定流压,但一点法对资料的分析带有一定的经验性和统计性,分析误差较大。特别是大牛地气田属于低渗透气藏,压力恢复缓慢,所测的地层静压值偏低,求产开井3天以上多数井测取不到稳定的流压,所取流压值偏高,计算的无阻流量均偏高。因而根据一点法所得到的产能方程来预测地层产能往往偏大,经验统计表明,开井时间越长,所求的无阻流量越低。 相似文献
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Consider the continuous-time matrix Riccati operator Ricc. In this work, we consider the robustness of this operator to direct perturbations of the matrices (A, R, S) and, in particular, the flow robustness of the corresponding Riccati differential equation. For a given class of perturbation, we show that the corresponding differential equation is well defined in the sense it is bounded above and below, it has a well-defined fixed point, and it converges to this fixed point exponentially fast. Moreover, the flow of the perturbed Riccati flow is close to the nominal Riccati flow when the perturbation is small; i.e. we prove a continuity-type condition in the size of the perturbation. 相似文献
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Akbar Zada Bakht Zada Jinde Cao Tongxing Li 《Journal of The Franklin Institute》2017,354(14):6247-6257
Let {Πτ(m, n): m?≥?n?≥?0} be the family of periodic discrete transition matrices generated by bounded valued square matrices Λτ(n), where is an arbitrary switching signal. We prove that the family {Πτ(m, n): m?≥?n?≥?0} of bounded linear operator is uniformly exponentially stable if and only if the sequence is bounded. 相似文献
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技术创新与广义需求圆锥体 总被引:1,自引:0,他引:1
廖什的需求圆锥体可以泛化为一种更加普适的广义需求圆锥体。这是一个大中涵小的多个圆锥体的集合体,与廖什的单一形态的需求圆锥体有别。广义需求圆锥体的大中生小的孕育是由技术创新导致的,亦即其不断的“胎生”是由技术创新推动的。在一定时段内,影响广义需求圆锥体体积大小的主要因子是交通条件,而交通的发达程度是与科技进步紧密关联的。 相似文献
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D. Wulich 《Journal of The Franklin Institute》1984,317(3):135-145
A novel method of noise variance measurement in the presence of strong sine burst interference with unknown parameters is presented. The measurement system is based on the Adaptive Sine Pulse Shortener (ASPS) which shorts each sine pulse from which the interfering burst is composed. After this a conventional noise variance measurement method is applied. A measurement accuracy is satisfactory when the interfering signal is strong and the number of periods of interfering sine-wave in each sine pulse is great. While a practical implementation of the proposed procedure is not simple in hardware, the microprocessor implementation is quite realizable. 相似文献
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本文考虑了JIT环境下基于Supply-hub的供货模式,建立了制造商、Supply-hub和供应商的平均成本函数,并提出了分别由制造商和供应商负责Supply-hub营运及成本的生产与订货批量模型。结果表明,在Supply-hub适用的条件下,相比由制造商负责,供应商负责Supply-hub的运营及成本时,对供应商有利而不利于制造商,但整个供应链的总成本减少,通过供应商与制造商之间的协商和利益转移,可以使制造商和供应商的成本都有所减少,从而实现整个供应链的Pareto优化,此外,供应商距离Supply-hub越远,相比制造商负责,由供应商负责Supply-hub的营运及成本对整个供应链更有利。 相似文献