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Quasi-stability regions of nonlinear dynamical systems: theory
IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications, 1996The concept of a stability region (region of attraction) of nonlinear dynamical systems is widely accepted in many fields such as engineering and the sciences. When utilizing this concept, the Lyapunov function approach has been found to give rather conservative estimations of the stability regions of many nonlinear systems.
null Hsiao-Dong Chiang, L. Fekih-Ahmed
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Quasi-stability regions of nonlinear dynamical systems: optimal estimations
IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications, 1996In this paper, we develop an effective scheme to estimate stability regions by using an energy function that is a generalization of the Lyapunov functions. It is shown that the scheme can optimally estimate stability regions. A fairly comprehensive study for the structure of the constant energy surface lying inside the quasi-stability region is ...
null Hsiao-Dong Chiang, L. Fekih-Ahmed
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Quasi-Stability and Attractor for a Laminated-Coleman-Gurtin Beam Without Structural Damping
Acta Applicandae Mathematicae, 2022zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Wenjun Liu, Weifan Zhao
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Quasi-Stability of Real Coded Finite Populations
2014This contribution analyzes dynamics of mean and variance of real chromosomes in consecutive populations of an Evolutionary Algorithm with selection and mutation. Quasi-stable state is characterized with an area in which population mean and variance will remain roughly unchanged for many generations. Size of the area can be indirectly estimated from the
Jarosław Arabas, Rafał Biedrzycki
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Quasi‐stability and upper semicontinuity for coupled parabolic equations with memory
Studies in Applied Mathematics, 2020AbstractThis current study deals with the long‐time dynamics of a nonlinear system of coupled parabolic equations with memory. The system describes the thermodiffusion phenomenon where the fluxes of mass diffusion and heat depend on the past history of the chemical potential and the temperature gradients, respectively, according to Gurtin‐Pipkin's law.
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Quasi-stabilized ionic gratings in photorefractive media for multiplex holography
Journal of the Optical Society of America B, 1997We investigate photorefractive media for which quasi-stabilized ionic gratings can be used to prolong readout lifetime. We use coupled-transport-mode theory to describe the coevolution of photorefractive gratings that arise from free-electron transport and ionic transport.
Matthew C. Bashaw, John F. Heanue
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Quasi-stability and attractors for a nonlinear coupled wave system with memory
Bollettino dell'Unione Matematica Italiana, 2020zbMATH Open Web Interface contents unavailable due to conflicting licenses.
M. J. Dos Santos +3 more
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Finite-Dimensional Behavior and Quasi-Stability
2015This chapter deals mainly with the dimension theory of global attractors. We present some background and develop a relatively new approach which is based on some ideas due to O. Ladyzhenskaya (see Ladyzhenskaya [142] and the literature cited there) and assumes minimal smoothness properties of evolutions.
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On the quasi-stability criteria of monic matrix polynomials
Journal of Computational and Applied MathematicszbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zhan, Xuzhou, Ban, Bohui, Hu, Yongjian
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Quasi stability via lyapunov functions for impulsive differential systems
Applicable Analysis, 1988Suitably modifying the usual stability notions and employing Lyapunov functions,stability results relating to a given solution of impulsive differential system have been ...
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