Affine discrete-time control periodic systems are considered. The problem of global asymptotic stabilization of the zero equilibrium of the closed-loop system by state feedback is studied. It is assumed that the free dynamic system has the Lyapunov stable zero equilibrium. The method for constructing a damping control is extended from time-invariant systems to time varying periodic affine discrete-time systems. By using this approach, sufficient conditions for uniform global asymptotic stabilization for those systems are obtained. Examples of using the obtained results are presented.

From 20th to 28th August 2022, the 26th ICOM General Conference took place in Prague. Its main theme was “The Power of Museums”. The conference was the product of a long discussion about defining the contemporary role of museums and their obligations to the past, present, and future. In the article titled: The Humans and their History in Museums. A few Reflections about the 26th ICOM General Conference in Prague the author discusses the course of proceedings and asks questions about the character and nature of the museum’s work in the field of history as an academic discipline. Some of the most important questions discussed in the paper include those on: museums’ aspirations in the field of sensual depiction of history; the relationship between the tangible and intangible heritage within museums’ method of work; the role of heritage interpretation as the basic tool of contact with the audience; and the urgent issue of neutrality and institutions’ engagement in the face of contemporary challenges. The source materials used in order to find answers to these questions are the legal acts about museums; the resolutions of the 1st Congress of Polish Museum Professionals (April 2015 in Łódź); and the definitions that constitute museums, both through legal acts on the state level and those passed by the International Council of Museums (ICOM).

Artykuł poświęcony jest opisowi dziejów oraz wyzna-czeniu miejsca na mapie polskich czasopism nau-kowych rocznika naukowego Muzeum Historycznego Miasta Krakowa (od 2019 Muzeum Krakowa) „Krzy-sztofory”. Autor omawia długi proces powstania czasopisma, w tym niezrealizowanej, choć ciekawej idei rocznika „Kronika Miasta Krakowa”, który ukazał się tylko jednorazowo w 1962 r. Rocznik „Krzysztofory” to efekt rewizji tej nieudanej inicjatywy wydawniczej. Ukazuje się od 1974 r., a do 2024 r. wydanych zostało 41 numerów czasopisma.

In this paper, we establish variation of constant formulas for both Caputo and Riemann- Liouville fractional difference equations. The main technique is the Z -transform. As an application, we prove a lower bound on the separation between two different solutions of a class of nonlinear scalar fractional difference equations.