This paper has three objectives. The first objective is to provide a simpler proof concerning a sufficient condition due to Ferfera under which bilinearity is preserved for cascade interconnections. The next objective is to provide a specific counterexample to show that this condition does not apply to the feedback connection. The final objective is to show that thewell-known correspondence bet...

Many electronic cash systems have been proposed with the proliferation of the Internet and the activation of electronic commerce. E-cash enables the exchange of digital coins with value assured by the bank’s signature and with concealed user identity. In an electronic cash system, a user can withdraw coins from the bank and then spends each coin anonymously and unlinkably. In this paper, we des...

The main purpose of the paper is to summarize some fundamental results concerning the matrix impulsive differential equations with impulses at fixed points. The theory of impulsive matrix differential equations is interesting in itself and it will assume greater importance in the near future, since the application of the theory to various fields of science is also increasing, especially in the ...

We solve an optimal control problem governed by evolution equation using bilinear regular feedback. Using optimization techniques, we show how to approximate the flow of a reaction-diffusion system desired target. For application, consider regional constrained distributed system. The paper ends example illustrating numerical approach proposed method.

Two inverse ill-posed problems are considered. The first problem is an input restoration of a linear system. second one time-dependent coefficients ordinary differential equation. Both reformulated as auxiliary optimal control with regularizing cost functional. For the problem, two models proposed. In model, approximated by output and estimates its derivatives. This model yields approximating l...

introduction:  the  advent  of  dual-modality  pet/ct  scanners  has  revolutionized  clinical  oncology  by  improving lesion localization and facilitating treatment planning for radiotherapy. in addition, the use of  ct images for ct-based attenuation correction (ctac) decreases the overall scanning time and creates  a noise-free  attenuation  map  (6map).  ctac  methods  include  scaling,  s...

We describe two constructions of non-zero inner product encryption (NIPE) systems in the public index setting, both having ciphertexts and secret keys of constant size. Both schemes are obtained by tweaking the Boneh-Gentry-Waters broadcast encryption system (Crypto 2005) and are proved selectively secure without random oracles under previously considered assumptions in groups with a bilinear m...

The dual purpose of this article is to establish bilinear Poincaré-type estimates associated to an approximation of the identity and to explore the connections between bilinear pseudo-differential operators and bilinear potential-type operators. The common underlying theme in both topics is their applications to Leibniz-type rules in Sobolev and Campanato-Morrey spaces under Sobolev scaling.

Ekman, M. 2005: Modeling and Control of Bilinear Systems: Applications to the Activated Sludge Process. Written in English. Acta Universitatis Upsaliensis. Uppsala Dissertations from the Faculty of Science and Technology 65. 231 pp. Uppsala, Sweden. ISBN 91-554-6342-8 This thesis concerns modeling and control of bilinear systems (BLS). BLS are linear but not jointly linear in state and control....