We study block decoupling of linear multivariable systems under unity-feedback configuration. We consider plants which have unstable pole-zero coincidences and give necessary and sufficient conditions for the existence of the block decoupling controllers. The conditions are particularly simple for plants with only simple unstable pole-zero coincidences. An illustrative example is given.

Abstract Meinertsen’s unifier is discussed on the background of Aristotle’s distinction between four kinds unity. It argued that Meinertsen combines two different unity exclude each other. Only first meaning seems to be relevant for unifier. But this applies literally only spatial complexes. Its application states affairs problematic because they are mostly not spatial. also in sense requires a...

meister eckhart is one of the christian mystics that christian orthodoxy and catholic church accused his thoughts in medieval ages and named him heretic. most important themes that disparate the theism of eckhart from his christian predecessors are belief to godhead beyond god, denial of possibility of knowing god, innovations about trinity, belief to apophatic theology and etc. he defended of ...

one of the consequences of accepting personal unity of existence as well as the philosophical rule of “al-wahid” is wujud-e munbasit (the extended existence). sayyid haydar amuli explains origination of multiplicity from the one on the basis of wujud-e munbasit. according to him the first emanation from being is universal and extendedand contains all degrees of contingent world. by depicting of...

The aim of this work is to model a jet diffusion flame, to show the corresponding proof of existence of solutions, and to present numerical results. The model is based on the flamelet equations for the chemistry and on the mixture fraction for the flow. Numerical tests are carried out for Sandia Flame D and the results are found to compare well with available data found in the literature.

We prove a general finite-dimensional reduction theorem for critical equations of scalar curvature type. Solutions of these equations are constructed as a sum of peaks. The use of this theorem reduces the proof of existence of multi-peak solutions to some test-functions estimates and to the analysis of the interactions of peaks.

The three Divine Abrahamic faiths i.e. Judaism, Christianity and Islam, revealed to the prophets of God, are divine religions that shape outlook of life, people’s perception, culture and civilization and enhance the relationship between God-man-universe. In this process, people who adhere to a particular religion tend to explore the phenomena through the lens of religion. However, throughout th...

We show lower bounds on the number of sample points and on the number of coin tosses used by general sampling algorithms for estimating the average value of functions over a large domain. The bounds depend on the desired precision and on the error probability of the estimate. Our lower bounds match upper bounds established by known algorithms, up to a mul-tiplicative constant. Furthermore, we g...

This paper presents an application of voting geometry to individual decision making. We demonstrate that a number of decision anomalies can arise as a natural consequence of the aggregation of preferences of different neural systems. We present a proof of existence of a set of voting procedures that can account for the attraction effect, the similarity effect and the compromise effect, and prov...