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Abstract

The analysis of the positivity and stability of linear electrical circuits by the use of state-feedbacks is addressed. Generalized Frobenius matrices are proposed and their properties are investigated. It is shown that if the state matrix of an electrical circuit has generalized Frobenius form then the closed-loop system matrix is not positive and asymptotically stable. Different cases of modification of the positivity and stability of linear electrical circuits by state-feedbacks are discussed and necessary conditions for the existence of solutions to the problem are established.

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Authors and Affiliations

Tadeusz Kaczorek
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Abstract

The poetic system of calendar and ritual folklore is especially characterized by parallelism, which is a stylistic device based on the homogeneous syntactic structure of two or more adjacent language units, mainly text lines, which seem to be symmetric. Parallelism is often supported with an expressive comparison of the ideas which can be called “psychological parallelism” – between the life of nature and fragments of a human life. This helps create the parallel “world of nature” and the “world of a person”. Parallelisms in ritual folklore works make the poetic images of characters, their actions, thoughts and feelings more expressive. Quite often the object and the subject of the action are compared based on the category of movement. Lexical and semantic and syntactic structures in calendar and ritual songs are based on associative and semantic relations as a form of systemic coordination and regularity of folklore thinking and are built upon a similarity of action. The majority of them are related to matrimonial motives. The article also focuses on negative parallelisms. Similar to comparisons, they were first used to specify the essence of the phenomena and only later became the means for any emotional colouring of the main images.
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Authors and Affiliations

Галина Коваль
1

  1. Львів, Інститут народознавства НАН України

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