Results 21 to 30 of about 3,504,804 (362)

Exponential Stability of Evolutionary Equations [PDF]

, 2021
AbstractIn this chapter we study the exponential stability of evolutionary equations. Roughly speaking, exponential stability of a well-posed evolutionary equation $$\displaystyle \left (\partial _{t,\nu }M(\partial _{t,\nu })+A\right )U=F $$ ∂
Christian Seifert, Sascha Trostorff, Marcus Waurick   +2 more
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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
openaire   +2 more sources

Exponential Stability of Nonlinear Time-Varying Delay Differential Equations via Lyapunov–Razumikhin Technique

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
doaj   +1 more source

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), Karafyllis Iason(http://users.isc.tuc.gr/~ikarafyllis), Κοντορινακη Μαρια(http://users.isc.tuc.gr/~mkontorinaki1), Kontorinaki Maria(http://users.isc.tuc.gr/~mkontorinaki1), Παπαγεωργιου Μαρκος(http://users.isc.tuc.gr/~mpapageorgiou), Papageorgiou Markos(http://users.isc.tuc.gr/~mpapageorgiou)   +5 more
openaire   +6 more sources

Practical Exponential Stability of Impulsive Stochastic Reaction–Diffusion Systems With Delays

IEEE Transactions on Cybernetics, 2020
This article studies the practical exponential stability of impulsive stochastic reaction–diffusion systems (ISRDSs) with delays. First, a direct approach and the Lyapunov method are developed to investigate the $p$ th moment practical exponential ...
Qi Yao, Ping Lin, Linshan Wang, Yangfan Wang   +3 more
semanticscholar   +1 more source

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, H Uai-Xin Cao, W En-Ting Zheng, Lu Xu, S. M. Ulam, Zhen-Xia Gao   +5 more
openaire   +1 more source

Datko-type theorems concerning asymptotic behaviour of exponential type in mean [PDF]

Opuscula Mathematica
In this paper, we study the concept of exponential (in)stability in mean for stochastic skew-evolution semiflows, in which the exponential (in)stability in the classical sense is replaced by an average with respect to a probability measure.
Pham Viet Hai
doaj   +1 more source

Investor demand in syndicated EFSF/ESM bond issuances [version 1; peer review: 1 approved, 2 approved with reservations]

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, Martin Hillebrand, Peter Schwendner   +2 more
doaj  

Exponential stability in linear viscoelasticity [PDF]

Quarterly of Applied Mathematics, 2006
We address the study of the asymptotic behavior of solutions to an abstract integrodifferential equation modeling linear viscoelasticity. Framing the equation in the past history setting, we analyze the exponential stability of the related semigroup S ( t ) S(t) with dependence on the convolution kernel ...
openaire   +4 more sources

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
openaire   +3 more sources