A complex network of Euler-Bernoulli beams is studied in this paper. As for this network, the boundary vertices are clamped, the displacements of the structure are continuous but the rotations of different beams are not continuous at the interior vertices. The feedback controller are designed at the interior nodes to stabilize the elastic system. The well-posed-ness of the closed loop system is...

Continued Fractions method has been used to obtain a transient solution for the system size probabilities in an M/M/1 queue with instantaneous Bernoulli feedback subject to Catastrophes, Server Failures and Repairs. The steady state analysis of system size probabilities and some performance measures of the system are deduced. Further, Busy Period, Reliability and Availability of the model are a...

In this article, we study the stabilization of an Euler-Bernoulli beam equation with variable coefficients where boundary observation is subject to a time delay. To resolve the mathematical complexity of variable coefficients, we design an observer-predictor based on the well-posed open-loop system: the state of system is estimated with available observation and then predicted without observati...

SUMMARY Spreading sequences with appropriate negative auto-correlation can reduce average multiple access interference (MAI) in asyn-chronous DS/CDMA systems compared with the conventional Gold Sequences generated by linear feedback shift registers (LFSRs). We design spreading sequences with negative auto-correlation based on Gold sequences and the chaos theory for the Bernoulli map. By compute...

A system of partial differential equations describing the spatial oscillations of an Euler-Bernoulli beam with a tip mass is considered. The linear system considered is actuated by two independent controls and separated into a pair of differential equations in a Hilbert space. A feedback control ensuring strong stability of the equilibrium in the sense of Lyapunov is proposed. The proof of the ...

In this paper we present results on existence and regularity of integral representations of feedback operators arising from hyperbolic PDE control problems. The existence of such representations is important for the design of low order compensators and for the placement of sensors. This paper contains results which apply to problems with spatial domains in N dimensions. Numerical examples are i...

A Timoshenko beam equation with boundary feedback control is considered. By an abstract result on the Riesz basis generation for the discrete operators in the Hilbert spaces, we show that the closed-loop system is a Riesz system, that is, the sequence of generalized eigenvectors of the closed-loop system forms a Riesz basis in the state Hilbert space. 1. Introduction. The boundary feedback stab...

This paper deals with the active vibration control of beam like structures with distributed piezoelechic sensor and actuator layers bonded on top and bottom surfaces of the beam. A finite element model based on Euler-Bernoulli beam theory has been developed. The contribution of the piezoelectric sensor and actuator layers on the mass and stiffness of the beam is colisidered. Three types of clas...