The design of controllers for nonlinear, nonminimum-phase processes is one of the most difficult control problems currently faced. Current available control algorithms for nonlinear processes rely implicitly or explicitly on an inverse of the process. Linear control methods for nonminimum-phase processes are based on a decomposition of the process into a minimum-phase and a nonminimum-phase par...

An important step towards establishing an engineering discipline of software is to provide a formal basis for describing and analyzing software architectures. The Wright Architectural Speciication Language was developed for this purpose. The key novel features of Wright are its support for (a) formal speciication of new architectural connection types, (b) formal deenition of architectural style...

1. ABSTRACT In a recent publication, we reported on the utilization of a LabVIEW based Communication Systems Toolkit in the investigation of a novel idea for envelope detection of amplitude modulated (AM) signals (Wright, Tanyel 2005). In this paper, we will describe our efforts to develop the toolkit further and our investigations into the Walsh domain with the help of our latest developments....

The Wright--Fisher model and its approximating diffusion model are compared in terms of the expected value of a smooth but arbitrary function of nth-generation gene frequency. In the absence of selection, this expectation is shown to differ in the two models by at most a linear combination (with coefficients depending only on the derivatives of the smooth function involved) of the maximum mutat...

The main objective of this paper is to introduce k-fractional derivative operator by using the definition of k-beta function. We establish some results related to the newly defined fractional operator such as Mellin transform and relations to khypergeometric and k-Appell’s functions. Also, we investigate the k-fractional derivative of k-Mittag-Leffler and Wright hypergeometric functions.

Combinatorial proofs are given for certain entries in Ramanujan’s lost notebook. Bijections of Sylvester, Franklin, and Wright, and applications of Algorithm Z of Zeilberger are employed. A new bijection, involving the new concept of the parity sequence of a partition, is used to prove one of Ramanujan’s fascinating identities for a partial theta function.

In the paper, the authors generalize the notion “k-Mittag-Leffler function”, establish some integral transforms of the generalized k-Mittag-Leffler function, and derive several special and known conclusions in terms of the generalized Wright function and the generalized k-Wright function. 1. Preliminaries Throughout this paper, let C, R, R0 , R, Z − 0 , and N denote respectively the sets of com...

Karl Hammar, Jönköping University and Linköping University, Sweden Eva Blomqvist, Linköping University, Sweden David Carral, Wright State University, Dayton, Ohio, USA Marieke van Erp, Vrije Universiteit Amsterdam, The Netherlands Antske Fokkens, Vrije Universiteit Amsterdam, The Netherlands Aldo Gangemi, CNR-ISTC, Italy Willem Robert van Hage, Vrije Universiteit Amsterdam, The Netherlands Pasc...