Results 21 to 30 of about 134,749 (268)
Exponential stability and partial averaging
Journal of Mathematical Analysis and Applications, 2003 The initial value problem for the system \(\dot{x}(t)=\varepsilon f(\varepsilon t,t, x(t))\), \(x(t_{0})=x_{0}\), is considered, where \(\varepsilon >0\) is a small parameter. The corresponding partially averaged system is \(\dot{z}(t)=\varepsilon f^{0}(\varepsilon t,z(t))\), \(z(t_{0})=x_{0}\), with \(f^{0}(s,x)=\lim_{T\rightarrow \infty}\frac{1}{T ...
Grammel, G., Maizurna, Isna
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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.
Iasson Karafyllis +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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On the Stability of Some Exponential Polynomials
Journal of Mathematical Analysis and Applications, 1997 The authors deal with the transcendental equation of the type \[ (z+ pz+ q)\exp(\tau z)+ rz=0, \] where \(p\), \(q\), \(r\), \(\mathbb{R}\), \(\tau, p>0\), \(q>0\), \(r=0\), \(n=0,1,2\). The main results are concerned with the case \(n=0\), which is important in the stability theory of delay.
Baptistini, Margarete, Táboas, Plácido
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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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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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Frequency criteria for exponential stability
IMA Journal of Mathematical Control and Information, 2022 Abstract We discuss some frequency-domain criteria for the exponential stability of nonlinear feedback systems based on Popov’s hyperstability theorem. The main results are new bounds on convergence rates for perturbations of the damped harmonic oscillator, including the Hessian-damped case, when the perturbations satisfy certain ...
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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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Linear stability of exponential density profiles [PDF]
Journal of Plasma Physics, 1971 The problem of the linear stability of a plasma with density profilesin a homogeneous magnetic field B = îzB0 has been solved exactly. The dispersion relation leads to stability criteria less severe than those obtained in the local approximation. As examples, we consider Bernstein waves and the low-frequency drift instability. In the second example the
Croci, R., Saison, R.
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Open Research EuropeThe European Financial Stability Facility (EFSF) and the 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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