Results 21 to 30 of about 73,396 (227)
Stability of time-varying systems in the absence of strict Lyapunov functions [PDF]
, 2019 When a non-linear system has a strict Lyapunov function, its stability can be studied using standard tools from Lyapunov stability theory. What happens when the strict condition fails?
Ikhouane, Fayçal +1 more
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HYDRODYNAMICAL STABILITY AND POINCARÉ-LYAPUNOV THEORY. I [PDF]
Proceedings of the National Academy of Sciences, 1956 Abstract : The purpose of the paper is to initiate a rigorous theory of hydrodynamical stability. Results were established corresponding to the classical PoincareLyapunov theory for systems of nonlinear ordinary differential equations, for classes of nonlinear partial differential equations occurring in hydrodynamics. (Author)
Bellman, Richard, Wing, G. Milton
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Stable Exact Solutions in Cosmological Models with Two Scalar Fields [PDF]
, 2010 The stability of isotropic cosmological solutions for two-field models in the Bianchi I metric is considered. We prove that the sufficient conditions for the Lyapunov stability in the Friedmann-Robertson-Walker metric provide the stability with respect ...
A. A. Starobinsky +40 more
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Lyapunov stability of abstract nonlinear dynamic system in Banach space [PDF]
, 2003 The Lyapunov stability theory for nonlinear time-varying dynamic system in Banach space is given in this paper. The Lyapunov stable theorem and the Barbashin-Krasovskii-LaSalle invariant set principle in classical theory are extended to infinite ...
Xu, GQ, Yung, SP
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Abstract and Applied Analysis, 2011 We consider Lyapunov stability theory of linear time-varying system and derive sufficient conditions for uniform stability, uniform exponential stability, 𝜓-uniform stability, and h-stability for linear time-varying system with nonlinear perturbation on ...
Kanit Mukdasai, Piyapong Niamsup
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MIMO Lyapunov Theory-Based RBF Neural Classifier for Traffic Sign Recognition
Applied Computational Intelligence and Soft Computing, 2012 Lyapunov theory-based radial basis function neural network (RBFNN) is developed for traffic sign recognition in this paper to perform multiple inputs multiple outputs (MIMO) classification.
King Hann Lim +2 more
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Applications of Lyapunov Functions to Caputo Fractional Differential Equations
Mathematics, 2018 One approach to study various stability properties of solutions of nonlinear Caputo fractional differential equations is based on using Lyapunov like functions.
Ravi Agarwal +2 more
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Stability theory and Lyapunov regularity
Journal of Differential Equations, 2007 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Barreira, Luis, Valls, Claudia
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BACKPROPAGATION TRAINING ALGORITHM WITH ADAPTIVE PARAMETERS TO SOLVE DIGITAL PROBLEMS [PDF]
ICTACT Journal on Soft Computing, 2011 An efficient technique namely Backpropagation training with adaptive parameters using Lyapunov Stability Theory for training single hidden layer feed forward network is proposed.
R. Saraswathi
doaj
Variational Lyapunov method and stability theory [PDF]
Mathematical Problems in Engineering, 1998 By unifying the method of variation of parameters and Lyapunov′s second method, we develop a fruitful technique which we call variational Lyapunov method. We then consider the stability theory in this new framework showing the advantage of this unification.
Lakshmikantham, V., Liu, X., Leela, S.
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