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Surjectivity of the asymptotic Borel map in Carleman ultraholomorphic classes defined by sequences with shifted moments. [PDF]
J Inequal ApplJiménez-Garrido J +3 more
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Vesicle internalization proceeds <i>via</i> a morphological phase transition.
Soft MatterSchachter I, Jungwirth P, Harries D.
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Uniform Asymptotic Stability and Global Asymptotic Stability for Time-Delay Hopfield Neural Networks [PDF]
International Federation for Information Processing, 2012 In this paper, we consider the uniform asymptotic stability and global asymptotic stability of the equilibrium point for time-delays Hopfield neural networks. Some new criteria of the system are derived by using the Lyapunov functional method and the linear matrix inequality approach for estimating the upper bound of the derivative of Lyapunov ...
Adnène Arbi, Aouiti Chaouki
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On the Jacobian conjecture for global asymptotic stability
Journal of Dynamics and Differential Equations, 1992An old conjecture says that, for the two-dimensional system of ordinary differential equations \(\dot x=f(x)\), where \(f:\mathbb{R}^ 2\to\mathbb{R}^ 2\), \(f\in C^ 1\), and \(f(0)=0\), the origin \(x=0\) should be globally asymptotically stable (i.e., a stable equilibrium and all trajectories \(x(t)\) converge to it as \(t\to+\infty)\) whenever the ...
Zampieri G, GORNI, Gianluca
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Noise-induced global asymptotic stability
Journal of Statistical Physics, 1990zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Mackey, Michael C. +2 more
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Uniform Global Asymptotic Stability of Differential Inclusions
Journal of Dynamical and Control Systems, 2004The authors consider the stability of differential inclusions of the type \[ x'(t)\in F(x(t)), \tag{1} \] where the state \(x(\cdot)\) evolves in \(\mathbb{R}^n\), and the set-valued function \(F\) is locally Lipschitz and takes values which are nonempty compact subsets of \(\mathbb{R}^n\).
ANGELI, DAVID +3 more
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Global Asymptotic Stability of a Nonlinear Recursive Sequence
Applied Mathematics Letters, 2004 Using a ``semicycle analysis method'' developed by the authors, they prove that the positive equilibrium of the nonlinear difference equation \[ x_{n+1}=\frac{x_nx_{n-1}^b+x_{n-2}^b+a}{x_{n-1}^b+x_nx_{n-2}^b+a}, \quad n\geq 0 \] is globally asymptotically stable for parameters \(a\geq 0\), \(b>0\) and initial values \(x_{-2},x_{-1},x_0>0\).
Deming Zhu
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Proceedings of the 37th IEEE Conference on Decision and Control (Cat. No.98CH36171), 2002
We prove a generalized Liapunov theorem which guarantees practical asymptotic stability. Based on this theorem, we show that if the averaged system x/spl dot/=f/sub av/(x) corresponding to x/spl dot/=f(x,t) is globally asymptotically stable then, starting from an arbitrarily large set of initial conditions, the trajectories of x/spl dot/=f(x, t//spl ...
A.R. Teel, J. Peuteman, D. Aeyels
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We prove a generalized Liapunov theorem which guarantees practical asymptotic stability. Based on this theorem, we show that if the averaged system x/spl dot/=f/sub av/(x) corresponding to x/spl dot/=f(x,t) is globally asymptotically stable then, starting from an arbitrarily large set of initial conditions, the trajectories of x/spl dot/=f(x, t//spl ...
A.R. Teel, J. Peuteman, D. Aeyels
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Global Asymptotic Stability and Global Exponential Stability of Delayed Cellular Neural Networks
IEEE Transactions on Circuits and Systems Part 2: Express Briefs, 2005In this brief, many novel theorems and corollaries are presented regarding the global asymptotic stability and global exponential stability of cellular neural networks with constant and variable time delays. The stability conditions in the new results improve and generalize existing ones.
Jun Wang, Zhigang Zeng, X X Liao
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Intrinsic robustness of global asymptotic stability
Systems & Control Letters, 1999zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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