Existence and global asymptotic stability criteria for nonlinear neutral-type neural networks involving multiple time delays using a quadratic-integral Lyapunov functional. [PDF]
Adv Differ Equ, 2021 Gholami Y.
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, 2005 We prove optimality principles for semicontinuous bounded viscosity solutions of Hamilton-Jacobi-Bellman equations. In particular we provide a representation formula for viscosity supersolutions as value functions of suitable obstacle control problems ...
Cesaroni, Annalisa
core
Dynamics of a class of uncertain nonlinear systems under flow-invariance constraints
International Journal of Mathematics and Mathematical Sciences, 2003 For a class of uncertain nonlinear systems (UNSs), the flow-invariance of a time-dependent rectangular set (TDRS) defines individual constraints for each component of the state-space trajectories.
Octavian Pastravanu, Mihail Voicu
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Nash Equilibrium and Robust Stability in Dynamic Games: A Small-Gain Perspective [PDF]
This paper develops a novel methodology to study robust stability properties of Nash equilibrium points in dynamic games. Small-gain techniques in modern mathematical control theory are used for the first time to derive conditions guaranteeing uniqueness
Athanasiou, George +2 more
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Global asymptotic stability in a periodic integro-differential system
Tohoku Mathematical Journal, 1985 This paper deals with generalized Lotka-Volterra equations of the form \[ dx_ i(t)/dt=x_ i(t)\{b_ i(t)-a_{ii}(t)x_ i(t)- \sum^{n}_{j=1,j\neq i}a_{ij}(t)\int^{t}_{-\infty}K_{ij}(t- u)x_ j(u)du\}, \] i\(=1,2,...,n\); \(t>t_ 0\); \(t_ 0\in (- \infty,\infty)\) in which \(b_ i\), \(a_{ij}\) \((i,j=1,2,...,n)\) are continuous, periodic, and positive.
openaire +2 more sources
Global stability of Hopfield neural networks under dynamical thresholds with distributed delays
Discrete Dynamics in Nature and Society, 2006 We study the dynamical behavior of a class of Hopfield neural networks with distributed delays under dynamical thresholds. Some new criteria ensuring the existence, uniqueness, and global asymptotic stability of equilibrium point are derived.
Fei-Yu Zhang, Hai-Feng Huo
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Dynamics of a Reaction-diffusion Multi-group Infectious Disease Model Featuring Partial Degeneracy
Journal of Harbin University of Science and TechnologyBased on the spatial heterogeneity and the differences in the range of human activities, a reaction-diffusion multi-group infectious disease model with partial degeneracy is introduced and the threshold dynamical behavior is discussed using the theory of
ZENG Bin +3 more
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Global asymptotic stability of complex-valued neural networks with additive time-varying delays. [PDF]
Cogn Neurodyn, 2017 Subramanian K, Muthukumar P.
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Electronic Journal of Differential Equations, 2013 We study a class of discrete-time bidirectional ring neural network model with delay. We discuss the asymptotic stability of the origin and the existence of Neimark-Sacker bifurcations, by analyzing the corresponding characteristic equation ...
Yan-Ke Du, Rui Xu, Qi-Ming Liu
doaj
An LMI Based Criterion for Global Asymptotic Stability of Discrete-Time State-Delayed Systems with Saturation Nonlinearities. [PDF]
Int Sch Res Notices, 2014 Kokil P.
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