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Number of results: 72
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Abstract

Positively invariant sets play an important role in the theory and applications of dynamical systems. The stability in the sense of Lyapunov of the equilibrium x = 0 is equivalent to the existence of the ellipsoidal positively invariant sets. The constraints on the state and control vectors of dynamical systems can be formulated as polyhedral positively invariant sets in practical engineering problems. Numerical checking method of positive invariance of polyhedral sets is addressed in this paper. The validation of the positively invariant sets can be done by solving LPs which can be easily done numerically. It is illustrated by examples that our checking method is effective. Compared with the now existing algebraic methods, numerical checking method is an attractive method in that it’s easy to be implemented.

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Authors and Affiliations

H. Yang
Y. Hu
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Abstract

Identifying the best scientists among the mediocre is straightforward when given the perspective of centuries, or at least decades, of hindsight. The problem of evaluating contemporary researchers is far more complex.
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Karol Życzkowski
Agnieszka Pollo
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Abstract

Polish true-confessions magazines are bolder than other women's journals at covering sensitive issues. The confessional formula makes it easier to cross discourse boundaries.
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Katarzyna Stańczak-Wiślicz
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Abstract

It was long believed that RNA was a molecule specialized in transmitting information from DNA to proteins. However, in recent years scientists have been discovering hitherto unknown complexities of RNA.
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Witold Filipowicz
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Abstract

Today's technology makes it possible to analyze genetic samples up to a million years old. Perhaps one day the aurochs will make a comeback to Poland's forests, thanks to Polish scientists.
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Ryszard Słomski
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Abstract

In Copernicus' day, canons were buried under the altar where they served Mass. As such, the altar of St. Andrew in Frombork cathedral was a natural starting point for researchers looking for the great astronomer's grave.
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Wiesław Bogdanowicz
Patrycja Dołowy
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Abstract

Existing therapies for heart failure do not target intracellular pathways regulating the metabolism of cardiomyocytes, even though research shows that this could offer an effective treatment method.
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Authors and Affiliations

Paweł Dobrzyń

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