a single server queue with bernoulli vacation has been considered. in addition the admission to queue is based on a bernoulli process and the server gives two type of services. for this model the probability generating function for the number of customers in the queue at different server's state are obtained using supplementary variable technique. some performance measures are calculated. ...

Using an abstract condition of Riesz basis generation of discrete operators in the Hilbert spaces, we show, in this paper, that a sequence of generalized eigenfunctions of an Euler– Bernoulli beam equation with a tip mass under boundary linear feedback control forms a Riesz basis for the state Hilbert space. In the meanwhile, an asymptotic expression of eigenvalues and the exponential stability...

TUDGE, JONATHAN R. H. Processes and Consequences of Peer Collaboration: A Vygotskian Analysis. CHILD DEVELOPMENT, 1992, 63, 1364-1379. A sample of 162 children aged from 5 to 9 was pretested to discover each child's "rule" for predicting the movement of a mathematical balance beam. Children then worked alone, with a partner who used the same rule, with a partner who was more competent, or with ...

Abstract: This work describes the modeling and control of an experimental platform associated to a single link flexible robot, whose motion is restricted to an horizontal plane, thus neglecting the gravity effects. The modeling problem is addressed using the so-called Euler-Bernoulli beam equation. The design, construction and integration of an experimental set-up developed for this work is als...

In a recent paper (Beghi, Lepschy & Viaro (1997) IEEE Transactions on Circuits and System-I, 44, 824}828) a procedure for obtaining proper rational approximants of the transfer function of a delay was suggested. We study a generalization of the feedback problem posed in the cited paper and obtain its general solution. Explicit computations of the generalized approximants are obtained in terms o...

Adaptive algorithms are obtained for the solution of separable optimization problems in multiclass M/GI/1 queues with Bernoulli feedback. Optimality of the algorithms is established by modifying and extending methods of stochastic approximation. These algorithms, can be used as a basis for designing policies for semi-separable and approximate lexicographic optimization problems and in the case ...

A system of serially connected string and Euler-Bernoulli beam with coupled linear feedback control and sliding model control is studied in the present paper. The system is formulated by partial differential equations with the boundary conditions. The eigenvalues and eigenfunctions of the system operator are discussed in the appropriate Hilbert spaces. A sliding model control is applied to the ...

In this paper, we show that a linear unbounded operator associated with an Euler–Bernoulli beam equation under shear boundary feedback generates a C0-semigroup in the underlying state Hilbert space. This provides an answer to a long time unsolved problem due to the lack of dissipativity for the operator. The main steps are a careful estimation of the Green’s function and the verification of the...