Results 271 to 280 of about 41,557 (312)
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On asymptotic stabilization of driftless systems
Applied Mathematics and Computation, 2000The authors consider the problem of stabilizing the driftless system \[ \dot{x} = g(x)u(t) \] by the state feedback \(u=u(x)\). Instead of a control Lyapunov function, the authors adopt an approach based on expansions which are similar to the first method of Lyapunov.
Yew-Wen Liang, Der-Cherng Liaw
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On the Poincaré Criterion for Asymptotic Stability
SIAM Journal on Mathematical Analysis, 1979This work discusses an n dimensional generalization of the Poincare criterion for asymptotic stability of a periodic solution to an ordinary differential equation. We define a function along a trajectory which measures the projection, normal to the flow, of a solution to the linearized equations. When this function satisfies certain monotone conditions,
Churchill, R. C., Selgrade, J. F.
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Stability and Asymptotic Stability of Functional-Differential Equations
Journal of the London Mathematical Society, 1995For the scalar equation \[ y'(t)= a(t) y(t)+ b(t) y(\theta(t))+ c(t) y'(\theta(t)),\;y(0)= y_0, \] where (i) the lag function \(\theta\) is nonnegative and continuous, \(\theta(t)\leq t\) for \(t\geq 0\), (ii) the complex functions \(a\), \(b\), \(c\) reside in \(C[0, \infty)\), (iii) \(\alpha(t):= \text{Re } a(t)\leq 0\), \(|c(t)|\leq c^*< 1\), \(t ...
Iserles, Arieh, Terjéki, József
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Asymptotic Stability in an Epidemic System
Mathematical Methods in the Applied Sciences, 1996Summary: Using the invariance principle in Banach space with less restrictions, we discuss the asymptotic behaviour of an integro-differential equation with infinite delay which is an infectious disease model. It is proved that the equilibria are globally asymptotic stable if the parameters fit some relation and the integral kernel satisfies a ...
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ON EXPONENTIAL ASYMPTOTIC STABILITY IN LINEAR VISCOELASTICITY
Mathematical Models and Methods in Applied Sciences, 2006This paper establishes results concerning the exponential decay of strong solutions of a linear hyperbolic integrodifferential equation in Hilbert space. Rather than the more commonly used assumptions that the relaxation function is non-negative, decreasing and convex, dissipation is modelled by requiring that the dynamic viscosity be a positive ...
J. Appleby +3 more
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On the Asymptotic Stability of a Satellite with a Gravitational Stabilizer
2017The problem of the influence of the structure of forces on the stability of the relative equilibrium of a controlled satellite with a gravitational stabilizer on the circular orbit is studied. In the space of entered parameters, the regions with different degrees of instability by Poincare are found.
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ON ASYMPTOTIC STABILITY OF GROUND STATES OF NLS
Reviews in Mathematical Physics, 2003We prove in dimension n = 3 an asymptotic stability result for ground states of the Nonlinear Schrödinger Equation which contain one internal mode.
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Invariance and asymptotic stability
Journal of Applied Mathematics and Mechanics, 2011zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Stability and Asymptotics in Electrohydrodynamics
2023This dissertation focuses on the relative energy analysis of two-species fluids composed of charged particles. It presents a formal derivation of the relative energy identity for both the bipolar Euler-Maxwell system and the unmagnetized case of the bipolar Euler-Poisson system.
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Stability and Asymptotic Behavior
1998We resume the problems treated in §12. In contrast to the case investigated there, we now consider solutions defined on infinite intervals. In this setting, continuous dependence on initial conditions and on the right side of the differential equation is a significantly more complicated matter than in §12, where general results were obtained under ...
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