On the stabilization and stability robustness against small delays of some damped wave equations
Date
1995
Authors
Morgül, O.
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Abstract
In this note we consider a system which can be modeled by two different one-dimensional damped wave equations in a bounded domain, both parameterized by a nonnegative damping constant. We assume that the system is fixed at one end and is controlled by a boundary controller at the other end. We consider two problems, namely the stabilization and the stability robustness of the closed-loop system against arbitrary small time delays in the feedback loop. We propose a class of dynamic boundary controllers and show that these controllers solve the stabilization problem when the damping coefficient is nonnegative and stability robustness problem when the damping coefficient is strictly positive.
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IEEE Transactions on Automatic Control
Publisher
IEEE
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Boundary value problems, Closed loop control systems, Control theory, Damping, Delay control systems, Feedback, Linear control systems, Mathematical models, Problem solving, Robustness (control systems), Transfer functions, Boundary controllers, Damped wave equations, Damping coefficient, Feedback law, Non-negative damping constant, One-dimensional, Parameterization, Stability robustness, Time delays, System stability
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English