Results 11 to 20 of about 7,504,828 (242)

Stability theory and Lyapunov regularity [PDF]

open access: yesJournal of Differential Equations, 2007
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Barreira, Luis, Valls, Claudia
openaire   +2 more sources

Variational Lyapunov method and stability theory [PDF]

open access: yesMathematical 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.
openaire   +4 more sources

Lyapunov stability in an evolutionary game theory model of the labour market [PDF]

open access: yesEconomiA, 2014
In this paper the existence and stability of equilibriums in an evolutionary game theory model of the labour market is studied by using the Lyapunov method. The model displays multiple equilibriums and it is shown that the Nash equilibriums of the static
Ricardo Azevedo Araujo   +1 more
doaj   +4 more sources

Stability Theory via Vector Lyapunov Functions

open access: yes, 2011
This chapter describes a fundamental stability theory for nonlinear dynamical systems using vector Lyapunov functions. It first introduces the notation and definitions before developing stability theorems via vector Lyapunov functions for continuous-time and discrete-time nonlinear dynamical systems.
Wassim M. Haddad, Sergey G. Nersesov
openaire   +2 more sources

Asymptotic behaviours of stochastic differential delay equations [PDF]

open access: yes, 2006
Most of the existing results on stochastic stability use a single Lyapunov function, but we shall instead use multiple Lyapunov functions in this paper.
Shen, Yi, Mao, Xuerong
core   +4 more sources

Determining the domain of attraction of hybrid non–linear systems using maximal Lyapunov functions [PDF]

open access: yes, 2010
summary:In this article a method is presented to find systematically the domain of attraction (DOA) of hybrid non-linear systems. It has already been shown that there exists a sequence of special kind of Lyapunov functions $V_n$ in a rational functional ...
Hangos, Katalin M.   +3 more
core   +2 more sources

HYDRODYNAMICAL STABILITY AND POINCARÉ-LYAPUNOV THEORY. I [PDF]

open access: yesProceedings 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
openaire   +2 more sources

BACKPROPAGATION TRAINING ALGORITHM WITH ADAPTIVE PARAMETERS TO SOLVE DIGITAL PROBLEMS [PDF]

open access: yesICTACT 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  

Acceleration-critical density time-delay model for crowd stability analysis based on Lyapunov theory [PDF]

open access: yesMATEC Web of Conferences, 2022
Crowd stability analysis is one of research hotspots to alleviate the severe situation of stampede accidents worldwide. Different from the conventional analysis models for crowd stability based on pedestrian density, this study analyses the ...
Zhao Rongyong   +5 more
doaj   +1 more source

Lyapunov stability analysis of higher-order 2D systems

open access: yes, 2010
We prove a necessary and sufficient condition for the asymptotic stability of a 2D system described by a system of higher-order linear partial difference equations.
Paolo Rapisarda   +8 more
core   +2 more sources

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