Results 31 to 40 of about 276,545 (338)
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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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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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 ...
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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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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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Stability of Nonlinear Regime-switching Jump Diffusions [PDF]
Nonlinear Analysis Theory, Methods and Applications, Volume 75,
Issue 9, June 2012, Pages 3854-3873, 2014 Motivated by networked systems, stochastic control, optimization, and a wide variety of applications, this work is devoted to systems of switching jump diffusions. Treating such nonlinear systems, we focus on stability issues. First asymptotic stability in the large is obtained. Then the study on exponential p-stability is carried out.
arxiv +1 more source
IEEE Access, 2021 This paper considers exponential stability for a class of timescale-type differential-difference equation with bounded time-varying delay. Based on time scale theory, internally positive representation technique, as well as the existing exponential ...
Qiang Xiao, Yin Yang, Tingwen Huang
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Exponential stability and partial averaging
Journal of Mathematical Analysis and Applications, 2003 AbstractThe exponential stability of singularly perturbed time-varying systems is investigated. It turns out that, under natural conditions, exponential stability of an averaged system is equivalent to exponential stability of the perturbed system for small perturbation parameters.
Grammel, G., Maizurna, Isna
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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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Stabilization of stochastic McKean-Vlasov equations with feedback control based on discrete-time state observation [PDF]
arXiv, 2021 In this paper, we study the stability of solutions of stochastic McKean-Vlasov equations (SMVEs) via feedback control based on discrete-time state observation. By using a specific Lyapunov function, the $H_{\infty}$ stability, asymptotic stability and exponential stability in mean square for the solution of the controlled systems are obtained.
arxiv