共查询到20条相似文献,搜索用时 15 毫秒
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本文对随机大系统dx(t)=b(t,x(t))dt σ(t,x(t)dω(t)采用较文[1]更一般的分解形式,利用比较法和分解-集结法得到该随机大系统随机(一致)稳定性和渐近(一致)稳定性的比较准则。 相似文献
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Paulo Xavier Pamplona 《Journal of Mathematical Analysis and Applications》2009,350(1):37-1087
In this paper we study the asymptotic behavior and the analyticity of the solutions of the one-dimensional porous-elasticity problem with thermal effect. Our main result is to prove the lack of exponential stability in case of the porous-elasticity with thermal effect when viscoelasticity is present. We prove the analyticity of the problem when a porous viscosity is present. We conclude by showing the impossibility of localization in time of the solutions in the isothermal case. 相似文献
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Burton Voorhees 《Complexity》2009,15(2):31-44
After a discussion of the importance of stability and instability for complex systems theory, we define the concept of virtual stability as a state in which a system employs self‐monitoring and adaptive control to maintain itself in a configuration that would otherwise be unstable. The energy expended in this gains the system an increase in its flexibility of behavioral response to environmental changes. A model designed to illustrate virtual stability is presented, followed by a brief discussion of the evolutionary advantage this capacity provides. This leads to the suggestion that such advantage gives an argument both for the directionality of evolution and for the emergence of self‐consciousness. © 2008 Wiley Periodicals, Inc. Complexity, 2009 相似文献
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利用Lyapunov泛函方法及线性矩阵不等式,得到了随机时滞混杂区间系统的能失性及鲁棒稳定性的充分判据。 相似文献
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In this paper, we study the existence, uniqueness, continuous dependence, Ulam stabilities and exponential stability of random impulsive semilineax differential equations under sufficient condition. The results are obtained by using the contraction mapping principle. Finally an example is given to illustrate the applications of the abstract results. 相似文献
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In this paper, we study the existence, uniqueness, continuous dependence, Ulam stabilities and exponential stability of random impulsive semilinear differential equations under sufficient condition. The results are obtained by using the contraction mapping principle. Finally an example is given to illustrate the applications of the abstract results. 相似文献
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一类非线性动力系统实用稳定域的研究及应用 总被引:1,自引:0,他引:1
杨玉华 《数学的实践与认识》2012,42(13):189-192
借助于李雅普诺夫函数讨论了一类非线性动力系统的实用稳定性和实用稳定域的估计问题,得到了实用稳定域存在的充分条件,给出了一类动力系统实用稳定域的具体形式.通过具体实例说明了所给条件的实用性,改进了已有的结果. 相似文献
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Kojima's strong stability of stationary solutions can be characterized by means of first and second order terms. We treat the problem whether there is a characterization of the stability concept allowing perturbations of the objective function only, keeping the feasible set unchanged. If the feasible set is a convex polyhedron, then there exists a characterization which is in fact weaker than that one of strong stability. However, in general it appears that data of first and second order do not characterize that kind of stability. As an interpretation we have that the strong stability is the only concept of stability which both admits a characterization and works for large problem classes.Supported by the Deutsche Forschungsgemeinschaft, Graduiertenkolleg Analyse und Konstruktion in der Mathematik.Partial support under Support Center for Advanced Telecommunications Technology Research. 相似文献
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The stability of the null solution of different systems of differential equations describing the motion of 1-D coupled nonlinear oscillators is discussed. Under certain assumptions we derive some stability results. Specifically, in the case of coupled damped oscillators we obtain asymptotic stability of the null solution (see Theorem 3.1, Example 3.1, and Fig. 2), while in the case of partial lack of damping we only obtain convergence to zero of the solution components corresponding to damped oscillators (see Theorem 4.1, Example 4.1, and Fig. 5). In all cases, including the case of coupled undamped oscillators, we obtain uniform stability of the null solution. 相似文献
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A recent paper (Ref. 1) established a new approach to estimate the robust stability radius of a Schur polynomial. This note points out that the approach given in Ref. 1 is not correct and also gives a counterexample to the main result of Ref. 1. 相似文献
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We consider one-dimensional problem for the thermoelastic diffusion theory and we obtain polynomial decay estimates. Then we show that the solution decays exponentially to zero as time goes to infinity; that is, denoting by E(t) the first-order energy of the system, we show that positive constants C 0 and c 0 exist which satisfy E(t) ≤ C 0 E(0)e ?c 0 t . 相似文献
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疾病在食饵中流行的捕食与被捕食模型的分析 总被引:1,自引:1,他引:0
分析并建立了疾病在食饵中传播的生态-传染病模型,同时考虑到两种群都受密度制约因素的影响,讨论了模型解的有界性和各平衡点的存在性,利用Routh-Hurwitz判据证明了各平衡点的局部渐进稳定性,通过构造Lyapunov函数分析了各平衡点的全局渐进稳定性,得到了疾病存在与否的充分性条件. 相似文献
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Jackson and Watts (J Econ Theory 71: 44–74, 2002) have examined the dynamic formation and stochastic evolution of networks. We provide a refinement of pairwise stability, p-pairwise stability, which allows us to characterize the stochastically stable networks without requiring the “tree construction” and the computation of resistance that may be quite complex. When a
-pairwise stable network exists, it is unique and it coincides with the unique stochastically stable network. To solve the inexistence problem of p-pairwise stable networks, we define its set-valued extension with the notion of p-pairwise stable set. The
-pairwise stable set exists and is unique. Any stochastically stable networks is included in the
-pairwise stable set. Thus, any network outside the
-pairwise stable set must be considered as a non-robust network. We also show that the
-pairwise stable set can contain no pairwise stable network and we provide examples where a set of networks is more “stable” than a pairwise stable network. 相似文献
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Pham Huu Anh Ngoc 《Numerical Functional Analysis & Optimization》2013,34(6):739-751
By a novel approach, we get explicit robust stability bounds for positive linear differential systems subject to time-varying multi-perturbations and time-varying affine perturbations. Our approach is based on the celebrated Perron-Frobenius theorem and ideas of the comparison principle. An example is given to illustrate the obtained results. 相似文献
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G. Leitmann 《Journal of Optimization Theory and Applications》1979,27(1):99-106
We consider a class of linear dynamical systems with bounded, Lebesgue-measurable uncertainties in the system and input matrices as well as in the input itself. A state feedback control is derived, which guarantees global, uniform asymptotic stability of the zero state; this control is continuous, except at the zero state.This paper is based in part on research supported by the National Science Foundation. 相似文献
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Dalia Sabina Cîmpean 《Applied mathematics and computation》2010,217(8):4141-4146
We obtain a result on stability of the linear differential equation of higher order with constant coefficients in Aoki-Rassias sense. As a consequence we obtain the Hyers-Ulam stability of the above mentioned equation. A connection with dynamical sytems perturbation is established. 相似文献