Results 31 to 40 of about 42,377 (221)

On Vector Lyapunov Functions [PDF]

Proceedings of the American Mathematical Society, 1971
It has been proved that the use of a vector Lyapunov function is more advantageous in certain situations rather than a scalar function. Moreover, each function needs to satisfy less rigid requirements. In this paper a new situation has been considered where vector Lyapunov functions play a further useful role. For this purpose, a new type of stability,
openaire   +1 more source

On boundedness, square integrability and uniform stability for neutral non autonomous third order differential equations with delay [PDF]

Mathematica Bohemica
In the study of the solutions for a given class of neutral third order differential equations with delay, a suitable conditions are given based on the Lyapunov second method by considering convenable Lyapunov functional to guarantee the uniform ...
Fatima Abdellaoui, Mebrouk Rahmane
doaj   +1 more source

Global dynamics on a class of age-infection structured cholera model with immigration

Electronic Journal of Qualitative Theory of Differential Equations, 2023
This paper is concerned with a class of age-structured cholera model with general infection rates. We first explore the existence and uniqueness, dissipativeness and persistence of the solutions, and the existence of the global attractor by verifying ...
Xin Jiang, Ran Zhang
doaj   +1 more source

Design of Integral Controllers for Nonlinear Systems Governed by Scalar Hyperbolic Partial Differential Equations

, 2017
The paper deals with the control and regulation by integral controllers forthe nonlinear systems governed by scalar quasi-linear hyperbolic partial differentialequations.
Andrieu, Vincent, Trinh, Ngoc-Tu, Xu, Cheng-Zhong   +2 more
core   +3 more sources

On delayed genetic regulatory networks with polytopic uncertainties: Robust stability analysis [PDF]

, 2008
Copyright [2008] IEEE. This material is posted here with permission of the IEEE. Such permission of the IEEE does not in any way imply IEEE endorsement of any of Brunel University's products or services.
Cao, J, Gao, H, Liu, X, Wang, Z
core   +2 more sources

Lyapunov functionals and practical stability for stochastic differential delay equations with general decay rate

Electronic Journal of Qualitative Theory of Differential Equations, 2022
This paper stands for the almost sure practical stability of nonlinear stochastic differential delay equations (SDDEs) with a general decay rate. We establish some sufficient conditions based upon the construction of appropriate Lyapunov functionals ...
Tomas Caraballo, Faten Ezzine, Mohamed Ali Hammami   +2 more
doaj   +1 more source

Stability of interconnected impulsive systems with and without time-delays using Lyapunov methods [PDF]

, 2012
In this paper we consider input-to-state stability (ISS) of impulsive control systems with and without time-delays. We prove that if the time-delay system possesses an exponential Lyapunov-Razumikhin function or an exponential Lyapunov-Krasovskii ...
Dashkovskiy, Sergey, Kosmykov, Michael, Mironchenko, Andrii, Naujok, Lars   +3 more
core  

Fractalization of Torus Revisited as a Strange Nonchaotic Attractor

, 1996
Fractalization of torus and its transition to chaos in a quasi-periodically forced logistic map is re-investigated in relation with a strange nonchaotic attractor, with the aid of functional equation for the invariant curve. Existence of fractal torus in
A. S. Pikovsky, C. Grebogi, F. H. Willeboordse, F. J. Romeiras, J. F. Heagy, J. Moser, K. Kaneko, K. Kaneko, Kunihiko Kaneko, M. Courbage, M. Ding, M. Yamaguti, O. E. Roessler, R. J. Deissler, S. P. Kuznetsov, Takashi Nishikawa, U. Feudel, V. S. Anishchenko, Y. Lai   +18 more
core   +1 more source

Photon‐Sphere Modes in Curved Optical Microcavities: A Black‐Hole Analogue Laser

Advanced Science, EarlyView.
An optical analogue of a Schwarzschild black hole is realized using curved microcavities that preserve light‐like geodesics. A new family of laser modes confined around the photon sphere is identified alongside conventional whispering‐gallery modes. Analytical theory, numerical simulations, and experiments reveal curvature‐induced confinement, enabling
Chenni Xu, Aswathy Sundaresan, Nazire‐Begüm Kazkal, Clement Lafargue, Lior Zarfaty, Li‐Gang Wang, Ofek Birnholtz, Dominique Decanini, Melanie Lebental, Patrick Sebbah   +9 more
wiley   +1 more source

Finite-Time H∞ Control for Time-Delayed Stochastic Systems with Markovian Switching

Abstract and Applied Analysis, 2014
This paper studies the problem of finite-time H∞ control for time-delayed Itô stochastic systems with Markovian switching. By using the appropriate Lyapunov-Krasovskii functional and free-weighting matrix techniques, some sufficient conditions of finite ...
Wenhua Gao, Feiqi Deng, Ruiqiu Zhang, Wenhui Liu   +3 more
doaj   +1 more source