Stabilization of wave systems with input delay in the boundary control

نویسندگان
چکیده

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Exponential stabilization of 1-d wave equation with input delay

Abstract: In this paper, we consider the stabilization problem of 1-d wave equation with input delay. Suppose that the wave system is fixed at one end whereas a control force is applied at other end. Here we consider the control force of the form αu(t) + βu(t − τ) where τ is the time delay. In this paper we find a feedback control law that stabilizes exponentially the system for any |α| ̸= |β| a...

متن کامل

Feedback boundary stabilization of wave equations with interior delay

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. The proof of the main result is based on an identity with multipliers that allows to obtain a uniform decay estimate for a suitable Lyapunov functional. Mathematics Subject Classification (2000): 35B05, 93D15, 93D20

متن کامل

Hybrid Control of Systems with Input Delay

In this paper the concept of multiple models and concept of switching controllers is used. The analog part of the system is described by finite set of continuous-time models with input delays. The continuous-time models include unmodeled dynamics in the form of affine matrix family. Using suitable transformation the models with input delay is converted in the delay free models. Then for multipl...

متن کامل

Suboptimal Control of Systems with Input Delay

The stabilization by feedback control of systems with input delays may be considered in various frameworks; a very popular is the abstract one, based on the inclusion of such systems in the Pritchard-Salamon class. In this paper we consider the elementary approach based on variants of the Smith predictor, make a system theoretic analysis of the compensator and suggest a computer control impleme...

متن کامل

Stabilization of LTI Switched Systems with Input Time Delay

This paper deals with stabilization of LTI switched systems with input time delay. A description of systems’ stabilization is presented. Common Lyapunov function is introduced to construct switching law in order to stabilize this kind of system. Necessary and sufficient conditions are presented for both asynchronous switching and synchronous one. Precisely, after a proper change in state space ...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: ESAIM: Control, Optimisation and Calculus of Variations

سال: 2006

ISSN: 1292-8119,1262-3377

DOI: 10.1051/cocv:2006021