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Global Asymptotic Stability of Modular Multilevel Converters
IEEE Transactions on Industrial Electronics, 2014Modular multilevel converters require that the controller is designed so that the submodule capacitor voltages are equalized and stable, independent of the loading conditions. Assuming that the individual capacitor-voltage sharing is managed effectively, an open-loop strategy has been designed to ensure that the total amount of energy stored inside the
Antonios Antonopoulos +4 more
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Global Asymptotic Stability for Oscillators with Superlinear Damping
Journal of Dynamics and Differential Equations, 2012The authors study the global asymptotic stability of the equilibrium for the damped superlinear oscillator \[ x''+a(t) \varphi_q(x') +\omega^2 x=0.
Sugie, Jitsuro +2 more
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Global Asymptotical Stability of Internet Congestion Control
2007A class of Internet congestion control algorithms with communication delays is studied. The algorithm is a pieced continuous function that will be switched on the rate of the source. Based on the Lyapunov theorem, the Lyapunov stability of the system is analyzed.
Hongyong Yang +3 more
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A Proof of the Jacobian Conjecture on Global Asymptotic Stability
Acta Mathematica Sinica, English Series, 2001The classical Jacobian conjecture says that if for every \(x\in\mathbb{R}^2\) the Jacobian matrix \(Df(x)\) of \(f\) is stable, then the zero solution of the differential system \(x'=f(x)\) is globally asymptotically stable. Many papers have been devoted to this conjecture proving it in special cases.
Chen, Pengnian, He, Jianxun, Qin, Huashu
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Global asymptotic stability of a periodic ecological model
Applied Mathematics and Computation, 2004zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jiandong Zhao, Wencheng Chen
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Global asymptotic stability for nonlinear difference equations
Applied Mathematics and Computation, 2006Consider the nonlinear difference equation \[ x_{n+1}-x_{n}+a_{n}x_{n-k}=b_{n}f(x_{n-l})~\;\;\;,~\;\;n\geq 0,\tag{\(*\)} \] where \(l,~k\) are nonnegative integers, \(\{a_{n}\}\) \ and \ \(\{b_{n}\}\) \(\;\)\ are two sequences of real numbers, and \(a_{n}\geq 0\) for \ \(n=0,1,2,\dots,f\in C((-\infty ,\infty )~,~(-\infty ,\infty )).\) The author ...
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Global asymptotic output feedback stabilization of feedforward systems
2001 European Control Conference (ECC), 2001zbMATH Open Web Interface contents unavailable due to conflicting licenses.
F. Mäzene, J. C. Vivaida
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Global Asymptotic Stability and Stabilization of Neural Networks With General Noise
IEEE Transactions on Neural Networks and Learning Systems, 2018Neural networks (NNs) in the stochastic environment were widely modeled as stochastic differential equations, which were driven by white noise, such as Brown or Wiener process in the existing papers. However, they are not necessarily the best models to describe dynamic characters of NNs disturbed by nonwhite noise in some specific situations.
Qihe Shan +3 more
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Global Asymptotic Stability of a Generalized Liénard Equation
SIAM Journal on Applied Mathematics, 1970is necessary and sufficient for the global asymptotic stability of the equilibrium point (0, 0) of (1.2). The idea of the proof is to show that (1.3) is necessary and sufficient for the boundedness of all solutions of (1.2). In doing this the crucial step is determining whether a solution with initial conditions in the first quadrant (third quadrant ...
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The von Neumann facet and a global asymptotic stability
Annals of Operations Research, 1992The author considers a multi-sector discrete-time optimal growth model with neoclassical non-joint technology and shows that any path on an \(n\)- dimensional flat supported by the optimal steady state price will converge to the optimal steady state and is optimal.
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