Cellular synthesis of synchronous sequential machines

With the advancing solid-state technology, it is necessary to develop new techniques for synthesizing digital networks. The regular pattern of cellular circuits seems to be the best fitted for the new LSI technology. Recently, cellular implementations of comibinational circuits have received considerable attention but very little attention has been given to sequential circuits. In this paper, we present two new methods for realizing sequential machines, both using cellular circuits. These new techniques will also enable us to do away with the time-consuming and difficult problem of state assignment. State-assigned (Moore) machines are assumed throughout. The first method converts sequential functions into combinational like equations. In order to do so, the machine must be either definite or finite input and feedback memory (FIFM). If the machine is neither definite nor FIFM, it is made FIFM by constructing a proper feedback function. These combinational like equations can easily be implemented by conventional combinational cellular circuits, such as the cutpoint cellular arrays, together with delay elements. The second method utilizes matrix methods. It is noted that when a machine is in a certain state and is subject to an input, it does two things: it makes a state transition and it produces outputs. If the diagonal elements of an nxn array of cells are thought as representing n states, the transition of states can be accomplished by first moving horizontally and then vertically and the output can be collected by an added bottom collection row. In both cases, bounds on the number of cells are established and minimal realizations are studied. Methods for starting these cellular machines are also investigated. In order to make the machine more flexible, techniques are devised to initialize the machine into any state desired. It is safe to predict that future computing systems will continue to increase the demands on several sophisticated design areas. They will need to be more readily expandable and modifiable. Automatic error detection and correction will also play a more significant role. Therefore, besides modularity, reliability and programmability are also important aspects of any new design techniques. Both synthesis methods presented in this paper can easily be modified to include these features

Bilinear control processes with application to immunology

As a significant class of nonlinear systems, bilinear systems (BLS) are extensively developed in the past years. In addition to their advantages over linear systems which are often not adequate to represent accurately many control processes, the BLS are particularly appealing in modeling biological systems in which parametric controls are of fundamental importance. This dissertation is aimed at making a contribution to the theory of bilinear control systems via Lie algebraic methods, and the application of accomplished results in immunology. To this end, the input-output relationship of BLS is studied in terms of Volterra series expansion which provides a convenient tool in examining the BLS stability as well as controllability. Moreover, the Volterra series associated with a BLS is in general an infinite series, and thus in practice, it is important to know how many terms are required to prevent the truncation error from exceeding the maximum allowance. Criteria of acquiring prescribed accuracy in terms of finite Volterra series are derived for BLS with uniformly bounded input or with exponentially stable linear subsystems. The problem of inverse system design which is capable of identifying both the input function and the state variables based upon the output data, is also considered. The observer theory of constant linear systems is then extended into a special class of bilinear systems with input matrices of rank one. In view of the functional similarity between immune processes and parametric control systems, a mathematical model of humoral immune response is presented and analyzed. The structural aspects of this nonlinear immune model is examined with the aid of bilinear control theory. Approximate immune models which are amenable to the control-theoretic analysis via foregoingly developed techniques are proposed. Some computer simulations are performed to show that the form of model responses is reasonable by comparing with the experimental data

Generalized averaged Gaussian quadrature and applications

A simple numerical method for constructing the optimal generalized averaged Gaussian quadrature formulas will be presented. These formulas exist in many cases in which real positive GaussKronrod formulas do not exist, and can be used as an adequate alternative in order to estimate the error of a Gaussian rule. We also investigate the conditions under which the optimal averaged Gaussian quadrature formulas and their truncated variants are internal

MS FT-2-2 7 Orthogonal polynomials and quadrature: Theory, computation, and applications

Quadrature rules find many applications in science and engineering. Their analysis is a classical area of applied mathematics and continues to attract considerable attention. This seminar brings together speakers with expertise in a large variety of quadrature rules. It is the aim of the seminar to provide an overview of recent developments in the analysis of quadrature rules. The computation of error estimates and novel applications also are described

NOTIFICATION !!!

All the content of this special edition is retrieved from the conference proceedings published by the European Scientific Institute, ESI. http://eujournal.org/index.php/esj/pages/view/books The European Scientific Journal, ESJ, after approval from the publisher re publishes the papers in a Special edition

NOTIFICATION !!!

All the content of this special edition is retrieved from the conference proceedings published by the European Scientific Institute, ESI. http://eujournal.org/index.php/esj/pages/view/books The European Scientific Journal, ESJ, after approval from the publisher re publishes the papers in a Special edition

NOTIFICATION!!!

The full content of this special edition is retrieved from the conference proceedings published by the European Scientific Institute, ESI. http://eujournal.org/index.php/esj/pages/view/books The European Scientific Journal, ESJ, after approval from the publisher re publishes the papers in a Special edition

NOTIFICATION !!!

All the content of this special edition is retrieved from the conference proceedings published by the European Scientific Institute, ESI. http://eujournal.org/index.php/esj/pages/view/books The European Scientific Journal, ESJ, after approval from the publisher re publishes the papers in a Special edition