Results 31 to 40 of about 3,504,804 (362)
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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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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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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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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Exponentially-fitted methods and their stability functions [PDF]
AIP Conference Proceedings, 2012 AbstractWe investigate the properties of stability functions of exponentially-fitted Runge–Kutta methods, and we show that it is possible (to some extent) to determine the stability function of a method without actually constructing the method itself. To focus attention, examples are given for the case of one-stage methods.
Van Daele, Marnix, Hollevoet, Davy
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Characterizations of Global Transversal Exponential Stability [PDF]
IEEE Transactions on Automatic Control, 2021 We study the relationship between the global exponential stability of an invariant manifold and the existence of a positive semi-definite Riemannian metric which is contracted by the flow. In particular, we investigate how the following properties are related to each other (in the global case): i).
Vincent Andrieu +2 more
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Advances in Mechanical Engineering, 2019 A novel framework of rapid exponential stability and optimal feedback control is investigated and analyzed for a class of nonlinear systems through a variant of continuous Lyapunov functions and Hamilton–Jacobi–Bellman equation.
Yan Li, Yuanchun Li
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On the Stability of Some Exponential Polynomials
Journal of Mathematical Analysis and Applications, 1997 AbstractThis paper studies elementary transcendental equations of the type (z2+pz+q)eτz+rzn=0, wherep,q,r∈ R , τ,p>0,q≥0,r≠0,n=0,1,2. We are mainly interested in the casen=0 for which a characterization of stability is accomplished; that is, we state a necessary and sufficient condition for all the roots to lie to the left of the imaginary axis. Also a
Plácido Z. Táboas +1 more
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Exponential Stabilization of an Underactuated Surface Vessel [PDF]
Modeling, Identification and Control: A Norwegian Research Bulletin, 1997 The paper shows that a large class of underactuated vehicles cannot be asymptotically stabilized by either continuous or discontinuous state feedback. Furthermore, stabilization of an underactuated surface vessel is considered. Controllability properties of the surface vessels is presented, and a continuous periodic time-varying feedback law is ...
Kristin Y. Pettersen, Olav Egeland
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Mathematics, 2022 The stability analysis of the numerical solutions of stochastic models has gained great interest, but there is not much research about the stability of stochastic pantograph differential equations.
Amr Abou-Senna, Boping Tian
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