Displaying similar documents to “Exponential stability of Timoshenko beam system with delay terms in boundary feedbacks*”

Exponential stability of Timoshenko beam system with delay terms in boundary feedbacks

Zhong-Jie Han, Gen-Qi Xu (2011)

ESAIM: Control, Optimisation and Calculus of Variations

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In this paper, the stability of a Timoshenko beam with time delays in the boundary input is studied. The system is fixed at the left end, and at the other end there are feedback controllers, in which time delays exist. We prove that this closed loop system is well-posed. By the complete spectral analysis, we show that there is a sequence of eigenvectors and generalized eigenvectors of the system operator that forms a Riesz basis for the state Hilbert space. Hence the system satisfies...

Stability and stabilizability of mixed retarded-neutral type systems

Rabah Rabah, Grigory Mikhailovitch Sklyar, Pavel Yurevitch Barkhayev (2012)

ESAIM: Control, Optimisation and Calculus of Variations

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We analyze the stability and stabilizability properties of mixed retarded-neutral type systems when the neutral term may be singular. We consider an operator differential equation model of the system in a Hilbert space, and we are interested in the critical case when there is a sequence of eigenvalues with real parts converging to zero. In this case, the system cannot be exponentially stable, and we study conditions under which it will...

Stability and stabilizability of mixed retarded-neutral type systems

Rabah Rabah, Grigory Mikhailovitch Sklyar, Pavel Yurevitch Barkhayev (2012)

ESAIM: Control, Optimisation and Calculus of Variations

Similarity:

We analyze the stability and stabilizability properties of mixed retarded-neutral type systems when the neutral term may be singular. We consider an operator differential equation model of the system in a Hilbert space, and we are interested in the critical case when there is a sequence of eigenvalues with real parts converging to zero. In this case, the system cannot be exponentially stable, and we study conditions under which it will...

Output feedback stabilization of a one-dimensional wave equation with an arbitrary time delay in boundary observation

Bao-Zhu Guo, Cheng-Zhong Xu, Hassan Hammouri (2012)

ESAIM: Control, Optimisation and Calculus of Variations

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The stabilization with time delay in observation or control represents difficult mathematical challenges in the control of distributed parameter systems. It is well-known that the stability of closed-loop system achieved by some stabilizing output feedback laws may be destroyed by whatever small time delay there exists in observation. In this paper, we are concerned with a particularly interesting case: Boundary output feedback stabilization...