Results 11 to 20 of about 348,641 (333)

Lyapunov stability analysis for nonlinear delay systems under random effects and stochastic perturbations with applications in finance and ecology

Advances in Difference Equations, 2021
This manuscript is involved in the study of stability of the solutions of functional differential equations (FDEs) with random coefficients and/or stochastic terms.
Abdulwahab Almutairi, H. El-Metwally, M. A. Sohaly, I. M. Elbaz   +3 more
doaj   +1 more source

Global exponential stabilization of freeway models [PDF]

International Journal of Robust and Nonlinear Control, 2015
SummaryThis work is devoted to the construction of feedback laws, which guarantee the robust global exponential stability of the uncongested equilibrium point for general discrete‐time freeway models. The feedback construction is based on a control Lyapunov function approach and exploits certain important properties of freeway models.
Καραφυλλης Ιασων(http://users.isc.tuc.gr/~ikarafyllis), Karafyllis Iason(http://users.isc.tuc.gr/~ikarafyllis), Κοντορινακη Μαρια(http://users.isc.tuc.gr/~mkontorinaki1), Kontorinaki Maria(http://users.isc.tuc.gr/~mkontorinaki1), Παπαγεωργιου Μαρκος(http://users.isc.tuc.gr/~mpapageorgiou), Papageorgiou Markos(http://users.isc.tuc.gr/~mpapageorgiou)   +5 more
openaire   +5 more sources

Global solutions and exponential decay to a Klein–Gordon equation of Kirchhoff-Carrier type with strong damping and nonlinear logarithmic source term

Partial Differential Equations in Applied Mathematics, 2021
This paper is concerned with the existence and exponential stability of the global solution to a Klein–Gordon equation of Kirchhoff-Carrier type with strong damping −Δutand logarithmic source term uln|u|R2.
S.M.S. Cordeiro, D.C. Pereira, J. Ferreira, C.A. Raposo   +3 more
doaj   +1 more source

Global Exponential Stability of Fractional Order Complex-Valued Neural Networks with Leakage Delay and Mixed Time Varying Delays

Fractal and Fractional, 2022
This paper investigates the global exponential stability of fractional order complex-valued neural networks with leakage delay and mixed time varying delays.
M. Hymavathi, G. Muhiuddin, M. Syed Ali, Jehad F. Al-Amri, Nallappan Gunasekaran, R. Vadivel   +5 more
doaj   +1 more source

Global exponential stabilization on the n-dimensional sphere [PDF]

2015 American Control Conference (ACC), 2015
In this paper, we show that the existence of centrally synergistic potential functions on the n-dimensional sphere, denoted by Sn, is a sufficient condition for the global asymptotic stabilization of a point in Sn. Additionally, if these functions decrease exponentially fast during flows and are bounded from above and from below by some polynomial ...
Pedro Casau, Christopher G. Mayhew, Ricardo G. Sanfelice, Carlos Silvestre   +3 more
openaire   +3 more sources

Chevron Pattern Equations: Exponential Attractor and Global Stabilization [PDF]

Vietnam Journal of Mathematics, 2021
The initial boundary value problem for a nonlinear system of equations modeling the chevron patterns is studied in one and two spatial dimensions. The existence of an exponential attractor and the stabilization of the zero steady state solution through application of a finite-dimensional feedback control is proved in two spatial dimensions.
Habiba Kalantarova, Varga Kalantarov, Orestis Vantzos   +2 more
openaire   +3 more sources

Global exponential stability of delayed inertial competitive neural networks

Advances in Difference Equations, 2020
In this paper, the exponential stability for a class of delayed competitive neural networks is studied. By applying the inequality technique and non-reduced-order approach, some novel and useful criteria of global exponential stability for the addressed ...
Min Shi, Juan Guo, Xianwen Fang, Chuangxia Huang   +3 more
doaj   +1 more source

Global Exponential Stability of a Discrete-Time Rayleigh System with Delays

Discrete Dynamics in Nature and Society, 2021
This paper deals with the problem of global exponential stability for a discrete-time Rayleigh system with delays. By using the mathematical induction method, some sufficient conditions are proposed for the global exponential stability of the discrete ...
Bangyu Shen
doaj   +1 more source

Global Stabilization of Attitude Dynamics: SDRE-based Control Designs [PDF]

AUT Journal of Modeling and Simulation, 2018
The State-Dependant Riccati Equation method has been frequently used to design suboptimal controllers applied to nonlinear dynamic systems. Different methods for local stability analysis of SDRE controlled systems of order higher than two such as the ...
M. Safi, M. Mortazavi, S.M. Dibaji
doaj   +1 more source

On global exponential stability of standard and full‐range CNNs [PDF]

International Journal of Circuit Theory and Applications, 2007
AbstractThis paper compares the dynamical behaviour of the standard (S) cellular neural networks (CNNs) and the full‐range (FR) CNNs, when the two CNN models are characterized by the same set of parameters (interconnections and inputs). The FR‐CNNs are assumed to be characterized by ideal hard‐limiter nonlinearities with two vertical segments in the i ...
Di Marco, Mauro, Forti, Mauro, Grazzini, Massimo, Pancioni, Luca   +3 more
openaire   +3 more sources