Results 21 to 30 of about 530 (65)

Chaos control and Hopf bifurcation analysis of the Genesio system with distributed delays feedback

open access: yesAdvances in Differential Equations, 2012
In this paper, the Genesio system with distributed time delay feedback is investigated. Firstly, the stability of the equilibria of the system is investigated by analyzing the characteristic equation, and then the existence of Hopf bifurcations is ...
J. Guan, Fangyue Chen, Guixiang Wang
semanticscholar   +2 more sources

The geometrical quantity in damped wave equations on a square [PDF]

open access: yes, 2006
The energy in a square membrane $\Omega$ subject to constant viscous damping on a subset $\omega\subset \Omega$ decays exponentially in time as soon as $\omega$ satisfies a geometrical condition known as the "Bardos-Lebeau-Rauch" condition.
Humbert, Emmanuel, Hébrard, Pascal
core   +3 more sources

Tracking control of a flexible beam by nonlinear boundary feedback

open access: yesInternational Journal of Stochastic Analysis, Volume 8, Issue 1, Page 47-58, 1995., 1994
This paper is concerned with tracking control of a dynamic model consisting of a flexible beam rotated by a motor in a horizontal plane at the one end and a tip body rigidly attached at the free end. The well‐posedness of the closed loop systems considering the dissipative nonlinear boundary feedback is discussed and the asymptotic stability about ...
Bao-Zhu Guo, Qian Song
wiley   +1 more source

Exponential input-to-state stability of composite stochastic systems

open access: yesAdvances in Differential Equations, 2013
Sufficient conditions for the exponential input-to-state stability in probability in r th mean and for the almost sure exponential input-to-state stability in probability of a composite stochastic system are established.
Fakhreddin Abedi   +2 more
semanticscholar   +2 more sources

Non-exponential and polynomial stability results of a Bresse system with one infinite memory in the vertical displacement

open access: yesNonautonomous Dynamical Systems, 2017
The asymptotic stability of one-dimensional linear Bresse systems under infinite memories was obtained by Guesmia and Kafini [10] (three infinite memories), Guesmia and Kirane [11] (two infinite memories), Guesmia [9] (one infinite memory acting on the ...
Guesmia Aissa
doaj   +1 more source

Control Strategies for the Fokker-Planck Equation [PDF]

open access: yes, 2017
Using a projection-based decoupling of the Fokker-Planck equation, control strategies that allow to speed up the convergence to the stationary distribution are investigated.
Breiten, Tobias   +2 more
core   +2 more sources

Local Stabilization of a Fluid-Structure System around a Stationary State with a Structure Given by a Finite Number of Parameters

open access: yesSIAM Journal of Control and Optimization, 2019
We study the stabilization of solutions to a 2d fluid-structure system by a feedback control law acting on the acceleration of the structure. The structure is described by a finite number of parameters.
G. Delay
semanticscholar   +1 more source

A notion of stability in probability of stochastic nonlinear systems

open access: yesAdvances in Differential Equations, 2013
The concepts of stability in probability of nontrivial solutions for stochastic nonlinear systems are analyzed in terms of a control Lyapunov function which is smooth except possibly at the origin.
Fakhreddin Abedi   +2 more
semanticscholar   +2 more sources

Dynamic Output Feedback Control of Discrete-Time Nonlinear Quadratic Systems with Stochastic Parametric Uncertainty and Missing Measurements

open access: yesEast Asian Journal on Applied Mathematics, 2019
Finite-time dynamic output feedback control for a class of discrete-time nonlinear quadratic systems with stochastic parametric uncertainty, exogenous disturbance and missing measurements, modeled by a Bernoulli distributed stochastic variable, is ...
Yujing Shi, Shanqiang Li, Yueru Li
semanticscholar   +1 more source

Feedback boundary stabilization of wave equations with interior delay

open access: yes, 2010
In this paper we consider a boundary stabilization problem for the wave equation with interior delay. We prove an exponential stability result under some Lions geometric condition.
Ammari, K., Nicaise, S., Pignotti, C.
core   +1 more source

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