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Journal of Theoretical and Applied Mechanics
2018 Vol. 56 nr 4 961--976
EN Multilayer structures allow obtaining good performance in acoustic insulation to eliminate unwanted noise in the medium and high frequencies in many applications such as building and transport industry. In this paper, the sound transmission of multilayer systems is studied using the Transfer Matrix [...]
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Archives of Electrical Engineering
2019 Vol. 68, nr 4 875--890
EN The invariant properties of the stability, reachability, observability and transfer matrices of positive linear electrical circuits with integer and fractional orders are investigated. It is shown that the stability, reachability, observability and transfer matrix of positive linear systems are inva[...]
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Zeszyty Naukowe. Automatyka / Politechnika Śląska
2006 z. 145 97-104
PL W pracy podano metodę wyznaczania dodatnich realizacji z opóźnieniami dla zadanej właściwej macierzy transmitancji układu dyskretnego. Podano warunki wystarczające istnienia realizacji dodatnich z opóźnieniami oraz procedurę wyznaczania takich realizacji. Procedurę zilustrowano przykładem liczbowym.
EN A method for finding positive realizations of a given proper transfer matrix of discrete-time systems with delays is proposed. Sufficient conditions for the existence of positive realizations of a given transfer matrix are established. A procedure for finding positive realizations of a given proper [...]
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International Journal of Applied Mechanics and Engineering
EN The development of a general purpose model for thermoelastic wave propagation in Cartesian system for heat conducting isotropic layered plates is illustrated, the model can account for elastic and visco-elastic isotropic materials, single or multi-layered structures, and free or leaky systems. Theor[...]
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Computer Applications in Electrical Engineering
2016 Vol. 14 1--13
EN Positive continuous–time and discrete–time linear electrical circuits with zero transfer matrices are addressed. It is shown that there exists a large class of positive electrical circuits with zero transfer matrices. The electrical circuits are unreachable, unobservable and unstable for all values [...]
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Archives of Mechanics
2017 Vol. 69, nr 3 243--256
EN By means of the theory of elasticity, we investigate the structural instability of a parallel array of identical simply-supported plates. One plate interacts with the neighboring plates through surface attractive forces. The proposed method is based on the 2 × 2 transfer matrix for a plate and on th[...]
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Archives of Control Sciences
2018 Vol. 28, No. 4 511--525
EN A new method for computation of positive realizations of given transfer matrices of fractional linear continuous-time linear systems is proposed. Necessary and sufficient conditions for the existence of positive realizations of transfer matrices are given. A procedure for computation of the positive[...]
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Poznan University of Technology Academic Journals. Electrical Engineering
2019 No. 97 109--123
EN The invariant properties of the stability, reachability, and transfer matrices of positive linear electrical circuits with integer and fractional orders are investigated. It is shown that the stability, reachability and transfer matrix of positive linear systems are invariant under their integer and[...]
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Vibrations in Physical Systems
EN In phononic quasi one-dimensional structures, there is a phenomenon of a phononic bandgap (PhBG), which means that waves of a given frequency do not propagate in the structure. The location and size of PhBG depend on the thickness of the layers, the type of materials used and their distribution in s[...]
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Control and Cybernetics
EN The transfer matrix T(s) = C [Ins - A]^-1 B of a linear system x = Ax + Bu, y = Cx can be always written in the standard form T(s) = P(s)/d(s), where P(s) is the polynomial matrix and d(s) is the minimal common denominator. The irreducible transfer matrix is called normal if every nonzero second ord[...]
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Czasopismo Techniczne. Budownictwo
PL W niniejszej pracy poddano analizie zbiór danych dotyczących dynamicznych charakterystyk cieplnych ścian zewnętrznych o różnie dobranej pod względem materiałowym warstwie konstrukcyjnej. Głównym celem pracy było porównanie amplitud wahań fali temperatury wewnętrznej i wewnętrznego strumienia ciepła [...]
EN In this paper, the thermal dynamic characteristics of exterior walls with variant concrete solutions of load-bearing layer were analysed. The main aim of this study was to compare the amplitudes of wave fluctuations of internal temperature and internal heat flux depending on the construction materia[...]
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Computer Assisted Methods in Engineering and Science
2017 Vol. 24, no. 3 199--215
EN Transfer relations, representing analytical solutions of the linear theory of slender circular arches, have facilitated structural analysis of segmented tunnel linings. This is the motivation to apply such relations to two examples of circular arch bridges in which the bridge deck is held from the a[...]
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Bulletin of the Polish Academy of Sciences. Technical Sciences
EN A new approach to the realization problem for fractional discrete-time linear systems is proposed. A procedure for computation of fractional realizations of given transfer matrices is presented and illustrated by numerical examples.
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Journal of Applied Mathematics and Computational Mechanics
EN The work studied the reflectance for quasi one-dimensional phononical structures. In composite superlattices, the thickness of the layers, their arrangement and selection of constituent materials with appropriate properties such as the density and velocity of mechanical waves propagation allows for [...]
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Przegląd Elektrotechniczny
2011 R. 87, nr 9a 248-254
PL W pracy badane są sterowalność i obserwowalność liniowych obwodów elektrycznych złożonych z rezystorów, cewek, kondensatorów i źródeł napięcia i prądu. Wykazano, że: 1) liniowe obwody elektryczne są niesterowalne i nieobserwowalne w tedy i tylko wtedy gdy ich parametry spełniają specjalne warunki. 2[...]
EN The controllability and observability of linear electrical circuits composed of resistors, coils, capacitors and voltage (current) sources are addressed. It is shown that: 1) the linear electrical circuits are uncontrollable and unobservable if and only if their parameters satisfy some special condi[...]
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Bulletin of the Polish Academy of Sciences. Technical Sciences
2018 Vol. 66, nr 5 605--611
EN A new method for determination of positive realizations of given transfer matrices of linear continuous-time linear systems is proposed. Necessary and sufficient conditions for the existence of positive realizations of transfer matrices are presented. A procedure for computation of the positive real[...]
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Autobusy : technika, eksploatacja, systemy transportowe
2018 R. 19, nr 12 428--432
PL W pracy podano nową metodę wyznaczania dodatnich realizacji dla zadanych macierzy transmitacji operatorowych deskryptowych( singularnych) ciągłych układów liniowych. Sformułowano warunki konieczne i wystarczające istnienia dodatnich realizacji dla tej klasy deskryptowych ciągłych układów liniowych. [...]
EN A new method for computation of positive realizations of given transfer matrices of descriptor linear continuous-time linear systems is proposed. Necessary and sufficient conditions for the existence of positive realizations of transfer matrices are given. A procedure for computation of the positive[...]
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