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On the Stability of Pointer States Using Lyapunov Theory
IFAC Proceedings Volumes, 2012Abstract Pointer states are states of an open quantum system that are able to survive the constant monitoring of the system by an environment. It has been shown that open systems that are prepared in superpositions of such pointer states quickly decohere and evolve into classical statistical mixtures of (pure) pointer states.
Ram Somaraju +2 more
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Investigation of human-robot interaction stability using Lyapunov theory
2008 IEEE International Conference on Robotics and Automation, 2008For human-robot cooperation in the context of human-augmentation tasks, the stability of the control model is of great concern due to the risk for the human safety represented by a powerful robot. This paper investigates stability conditions for impedance control in this cooperative context and where touch is used as the sense of interaction.
Vincent Duchaine, Clément M. Gosselin
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Lyapunov’s theory methods in stability problems of singular systems
Nonlinear Analysis: Theory, Methods & Applications, 2009zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Elements of Lyapunov stability theory for dynamic equations on time scale
International Applied Mechanics, 2007Stability of dynamic equations on time scale is analyzed. The main results are new conditions of stability, uniform stability, and uniform asymptotic stability for quasilinear and nonlinear ...
Bohner, M., Martynyuk, A. A.
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Lyapunov stability theory based complex valued adaptive filter design
2014 22nd Signal Processing and Communications Applications Conference (SIU), 2014In this study, a novel complex valued adaptive filter algorithm is proposed satisfying stability in the sense of Lyapunov. The prediction capability of the proposed algorithm is presented by using complex valued autoregressive process and wind signal in the literature.
Engin Cemal Menguc, Nurettin Acir
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Stability Theory And Lyapunov's Second Method.
1962PhD ; Mathematics ; University of Michigan, Horace H. Rackham School of Graduate Studies ; http://deepblue.lib.umich.edu/bitstream/2027.42/185630/2/6300439 ...
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Lyapunov Functions in Stability Theory of Nonlinear Difference Delay Equations
Differential Equations, 2002Using the direct Lyapunov method, the author obtains sufficient conditions for uniform asymptotic stability and for instability of the zero solution to the following nonlinear difference equation \[ x(k+1)-x(k)=f(k,x[k]), \quad k= \sigma ,\sigma +1,\dots, \] where \(x=(x_1,x_2,\dots,x_n),\) the function \(f:{\mathbb Z}\times {\mathfrak M}_p\rightarrow {
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Further investigation of Lyapunov stability theory
Abstract not available.Phooi, Seng Kah +2 more
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The Glansdorff-Prigogine thermodynamic stability criterion in the light of Lyapunov's theory
Journal of Theoretical Biology, 1975The Glansdorff-Prigogine stability criterion is examined in the light of Lyapunov's theory of stability. It is found that its application to the study of stability of steady states far from equilibrium is sound, although in general the criterion is expected to leave a large region of undertermined stability when used to delimit the stability domain in ...
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Lyapunov Stability Theory Based Control of Uncertain Dynamical Systems
1994Summary: We present a controller design methodology for uncertain systems which is based on the constructive use of Lyapunov stability theory. The uncertainties, which are deterministic, are characterized by certain structural conditions and known as well as unknown bounds. As a consequence of the Lyapunov approach, the methodology is not restricted to
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