Displaying similar documents to “Stabilization of the wave equation with unbounded feedback of finite range.”

Output stabilization for infinite-dimensional bilinear systems

El Zerrik, Mohamed Ouzahra (2005)

International Journal of Applied Mathematics and Computer Science

Similarity:

The purpose of this paper is to extend results on regional internal stabilization for infinite bilinear systems to the case where the subregion of interest is a part of the boundary of the system evolution domain. Then we characterize either stabilizing control on a boundary part, or the one minimizing a given cost of performance. The obtained results are illustrated with numerical examples.

Remarks on the Stabilization Problem for Linear Finite-Dimensional Systems

Takao Nambu (2014)

Bulletin of the Polish Academy of Sciences. Mathematics

Similarity:

The celebrated 1967 pole assignment theory of W. M. Wonham for linear finite-dimensional control systems has been applied to various stabilization problems both of finite and infinite dimension. Besides existing approaches developed so far, we propose a new approach to feedback stabilization of linear systems, which leads to a clearer and more explicit construction of a feedback scheme.

A reduction principle for global stabilization of nonlinear systems

Rachid Outbib, Gauthier Sallet (1998)

Kybernetika

Similarity:

The goal of this paper is to propose new sufficient conditions for dynamic stabilization of nonlinear systems. More precisely, we present a reduction principle for the stabilization of systems that are obtained by adding integrators. This represents a generalization of the well-known lemma on integrators (see for instance [BYIS] or [Tsi1]).

Direct design of robustly asymptotically stabilizing hybrid feedback

Rafal Goebel, Andrew R. Teel (2009)

ESAIM: Control, Optimisation and Calculus of Variations

Similarity:

A direct construction of a stabilizing hybrid feedback that is robust to general measurement error is given for a general nonlinear control system that is asymptotically controllable to a compact set.

Control of the Wave Equation by Time-Dependent Coefficient

Antonin Chambolle, Fadil Santosa (2010)

ESAIM: Control, Optimisation and Calculus of Variations

Similarity:

We study an initial boundary-value problem for a wave equation with time-dependent sound speed. In the control problem, we wish to determine a sound-speed function which damps the vibration of the system. We consider the case where the sound speed can take on only two values, and propose a simple control law. We show that if the number of modes in the vibration is finite, and none of the eigenfrequencies are repeated, the proposed control law does lead to energy decay. We illustrate...

The control of drilling vibrations: A coupled PDE-ODE modeling approach

Belem Saldivar, Sabine Mondié, Juan Carlos Avila Vilchis (2016)

International Journal of Applied Mathematics and Computer Science

Similarity:

The main purpose of this contribution is the control of both torsional and axial vibrations occurring along a rotary oilwell drilling system. The model considered consists of a wave equation coupled to an ordinary differential equation (ODE) through a nonlinear function describing the rock-bit interaction. We propose a systematic method to design feedback controllers guaranteeing ultimate boundedness of the system trajectories and leading consequently to the suppression of harmful dynamics....