RIESZ BASIS AND EXPONENTIAL STABILITY FOR EULER-BERNOULLI BEAMS WITH VARIABLE COEFFICIENTS AND INDEFINITE DAMPING UNDER A FORCE CONTROL IN POSITION AND VELOCITY

Riesz basis and exponential stability for Euler-bernoulli beams with variable coefficients and indefinite damping under a force control in position and velocity

Riesz basis and exponential stability for Euler-bernoulli beams with variable coefficients and indefinite damping under a force control in position and velocity

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This article concerns the Riesz basis property and the stability of a damped Euler-Bernoulli beam with nonuniform thickness or density, IMMUNOL that is clamped at one end and is free at the other.To stabilize the system, we apply a linear boundary control force in position and velocity at the free end of the beam.We first put Dryer Anti-Wrinkle Balls some basic properties for the closed-loop system and then analyze the spectrum of the system.Using the modern spectral analysis approach for two-points parameterized ordinary differential operators, we obtain the Riesz basis property.

The spectrum-determined growth condition and the exponential stability are also concluded.

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