Results 21 to 30 of about 276,545 (338)
Mathematics, 2023 In this article, some new sufficient conditions for the exponential stability of nonlinear time-varying delay differential equations are given. An extension of the classical asymptotical stability theorem in terms of a Lyapunov–Razumikhin function is ...
Natalya O. Sedova, Olga V. Druzhinina
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On Exponential Stability ofC0Semigroups
Journal of Mathematical Analysis and Applications, 1998 AbstractIn this note, the exponential stability forC0semigroups in a Hilbert space is considered. First, an expression for aC0semigroup is given, and then a formula on the growth order of aC0semigroup is obtained. Finally, with some additional condition such as the boundedness of the resolvent of the generator of aC0semigroup on an imaginary axis, the ...
Yue-Hu Luo, De-Xing Feng
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Global exponential stabilization of freeway models [PDF]
International Journal of Robust and Nonlinear Control, 2015 SummaryThis work is devoted to the construction of feedback laws, which guarantee the robust global exponential stability of the uncongested equilibrium point for general discrete‐time freeway models. The feedback construction is based on a control Lyapunov function approach and exploits certain important properties of freeway models.
Καραφυλλης Ιασων(http://users.isc.tuc.gr/~ikarafyllis) +5 more
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Super-stability and stability of the exponential equations [PDF]
Journal of Mathematical Inequalities, 2010 In this paper, we introduce the concepts of super-stability, stability, δ -Ger-stability of the exponential equation of an operator from a normed space into a normed algebra. By using some results due to J. Baker and R. Ger, we obtain some new conclusions about these stabilities. Mathematics subject classification (2010): Primary 39B52, secondary 39B82,
D. H. Hyers +5 more
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Sub-exponential stability for the beam equation
Journal of Differential Equations, 2023 We consider a one-parameter family of beam equations with Hamiltonian non-linearity in one space dimension under periodic boundary conditions. In a unified functional framework we study the long time evolution of initial data in two categories of differentiability: (i) a subspace of Sobolev regularity, (ii) a subspace of infinitely many differentiable ...
Roberto Feola, Jessica Elisa Massetti
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Open Research Europe, 2023 European Financial Stability Facility (EFSF) and European Stability Mechanism (ESM) were set up at the peak of the European sovereign debt crisis to issue bonds and lend to countries under current funding stress.
Marko Mravlak +2 more
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Abstract and Applied Analysis, 2012 The numerical approximation of exponential Euler method is constructed for semilinear stochastic differential equations (SDEs). The convergence and mean-square (MS) stability of exponential Euler method are investigated. It is proved that the exponential
Chunmei Shi, Yu Xiao, Chiping Zhang
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Polynomial stability of evolution operators in Banach spaces [PDF]
Opuscula Mathematica, 2011 The paper considers three concepts of polynomial stability for linear evolution operators which are defined in a general Banach space and whose norms can increase not faster than exponentially.
Megan Mihail +2 more
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Exponential stability of Hopfield neural networks of neutral type with multiple time-varying delays
AIMS Mathematics, 2021 This paper investigates the problem for exponential stability of Hopfield neural networks of neutral type with multiple time-varying delays. Different from the existing results, the states of the neurons involve multiple time-varying delays and time ...
Li Wan +3 more
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Frontiers in Physiology, 2017 Over the last decades, various measures have been introduced to assess stability during walking. All of these measures assume that gait stability may be equated with exponential stability, where dynamic stability is quantified by a Floquet multiplier or ...
Espen A. F. Ihlen +5 more
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