Results 21 to 30 of about 475 (40)

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

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

Delayed Feedback Control near Hopf Bifurcation

open access: yes, 2007
The stability of functional differential equations under delayed feedback is investigated near a Hopf bifurcation. Necessary and sufficient conditions are derived for the stability of the equilibrium solution using averaging theory.
Atay, F.M.   +2 more
core   +4 more sources

General decay of the solution for a viscoelastic wave equation with a time-varying delay term in the internal feedback

open access: yes, 2012
In this paper we consider a viscoelastic wave equation with a time-varying delay term, the coefficient of which is not necessarily positive. By introducing suitable energy and Lyapunov functionals, under suitable assumptions, we establish a general ...
Abdallah C.   +7 more
core   +1 more source

Singular estimates and uniform stability of coupled systems of hyperbolic/parabolic PDEs

open access: yes, 2002
Abstract and Applied Analysis, Volume 7, Issue 4, Page 169-237, 2002.
F. Bucci, I. Lasiecka, R. Triggiani
wiley   +1 more source

On stability and controllability of multi-agent linear systems [PDF]

open access: yes, 2016
Recent advances in communication and computing have made the control and coordination of dynamic network agents to become an area of multidisciplinary research at the intersection of the theory of control systems, communication and linear algebra.
García Planas, María Isabel   +1 more
core   +1 more source

Local null controllability of the control-affine nonlinear systems with time-varying disturbances. Direct calculation of the null controllable region

open access: yes, 2017
The problem of local null controllability for the control-affine nonlinear systems $\dot x(t)=f(x(t))+Bu(t)+w(t),$ $t\in[0,T]$ is considered in this paper.
Vrabel, Robert
core   +1 more source

A subalgebra of the Hardy algebra relevant in control theory and its algebraic-analytic properties

open access: yes, 2013
We denote by A_0+AP_+ the Banach algebra of all complex-valued functions f defined in the closed right half plane, such that f is the sum of a holomorphic function vanishing at infinity and a ``causal'' almost periodic function.
A. Browder   +5 more
core   +1 more source

Equivalence of robust stabilization and robust performance via feedback

open access: yes, 2008
One approach to robust control for linear plants with structured uncertainty as well as for linear parameter-varying (LPV) plants (where the controller has on-line access to the varying plant parameters) is through linear-fractional-transformation (LFT ...
Ball, J. A.   +3 more
core   +1 more source

A generalized chordal metric making strong stabilizability a robust property [PDF]

open access: yes, 2012
An abstract chordal metric is defined on linear control systems described by their transfer functions. Analogous to a previous result due to Jonathan Partington ("Robust control and approximation in the chordal metric", in Robust Control, LNCIS 183 ...
Sasane, Amol
core  

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