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141.
对于一类模型不确定非线性随机系统,用耗散性的观点发展了鲁棒性能准则理论.特别地,将确定性非线性系统理论中的耗散性概念引入到模型不确定随机非线性系统中,并以此作为基础来发展H∞理论.在精确模型随机非线性系统H∞基础上,建立了模型不确定系统L2增益和HJI不等式的可解性的关系.由于HJI偏微分方程难于求解,考虑模型参数满足某种适当匹配条件的系统的鲁棒性能准则问题,我们不需要通过求解HJI方程就可以得到此类系统的H∞控制律. 相似文献
142.
String theory, quantum geometry, loop quantum gravity and black hole physics all indicate the existence of a minimal observable length on the order of Planck length. This feature leads to a modification of Heisenberg uncertainty principle. Such a modified Heisenberg uncertainty principle is referred as gravitational uncertainty principle(GUP) in literatures. This proposal has some novel implications on various domains of theoretical physics. Here, we study some consequences of GUP in the spirit of Quantum mechanics. We consider two problem: a particle in an one-dimensional box and free particle wave function. In each case we will solve corresponding perturbational equations and compare the results with ordinary solutions. 相似文献
143.
LIN Yi 《纯粹数学与应用数学》2003,(1)
1 Unified information theoryOne characteristic of the 2 0 th century is its information revolution.With satellites,huge amounts of information are collected daily,proposing a challenge to our understandingof the information.Also,we realize that different ways of comprehension can be very mis-leading,since all information contains noise and our reasoning and sensing organs are limit-ed.To this end,Shannon and Weaver in 1949established the first theory of informationdealing with uncertainty on… 相似文献
144.
G. Rigolin 《Foundations of Physics Letters》2002,15(3):293-298
A generalized uncertainty relation for an entangled pair of particles is obtained if we impose a symmetrization rule for all
operators that we should employ when doing any calculation using the entangled wave function of the pair. This new relation
reduces to Heisenberg’s uncertainty relation when the particles have no correlation and suggests that we can have new lower
bounds for the product of position and momentum dispersions. 相似文献
145.
The paper outlines an approach to constructing a mathematical model of moving mechanical systems under uncertainty. Generalized
fuzzy differential equations are used to prove that the model is mathematically correct. The motion of a control oscillator
under uncertainty is considered as an example
__________
Translated from Prikladnaya Mekhanika, Vol. 43, No. 10, pp. 108–119, October 2007. 相似文献
146.
The measurement uncertainty of the result of chemical oxygen demand determination in wastewater was evaluated. The major
sources of uncertainty of the result of measurement were identified as the purity of reagents, volumetric operations, gravimetric
operations, bias, and the repeatability of the method. Identification and evaluation of uncertainty sources was followed by
combined uncertainty calculations. The combined uncertainty was compared to the experimentally determined variation and good
agreement was found, indicating that the major uncertainty sources had been identified. The results show that the major sources
of uncertainty arose from repeatability at high concentration level and volumetric steps at low concentration level, thus
revealing the target operations for reducing the measurement uncertainty of this determination.
Received: 5 August 2002 Accepted: 5 November 2002
Acknowledgements This research was supported by the Ministry of Education, Science and Sport of the Republic of Slovenia (Project Z2–3530).
Presented at CERMM-3, Central European Reference Materials and Measurements Conference: The function of reference materials
in the measurement process, May 30–June 1, 2002, Rogaška Slatina, Slovenia
Correspondence to A. Drolc 相似文献
147.
This paper considers the nonexistence of periodic solutions in a class of nonlinear uncertain systems. Based on the generalized
Kalman–Yakubovich–Popov (GKYP) lemma, linear matrix inequalities (LMIs) characterizations are derived to guarantee the nonexistence
of periodic solutions in a certain frequency range. The new LMI conditions do not involve any product of the Lyapunov matrix
and the system matrices. Based on the results, a dynamic output feedback controller is designed to ensure the nonexistence
of periodic solutions in such systems. A concrete application to the Chua circuit shows the applicability and validity of
the proposed approach.
This work was supported by the National Science Foundation of China under Grants 60404007 and 60334030. 相似文献
148.
Authorship of a quote attributed to J. Hilgevoord and J. Uffink is disclaimed. 相似文献
149.
对任意算符不确定关系的一般表述加以定义,从而给出判断任意算符存在共同本征态的必要条件,并将其应用于非厄米算符的情形. 相似文献
150.
For symmetric spaces of noncompact type we prove an analogue of Hardy’s theorem which characterizes the heat kernel in terms
of its order of magnitude and that of its Fourier transform. 相似文献