| DC Field | Value | Language |
|---|
| dc.contributor.author | Качорек, Тадеуш | |
| dc.contributor.author | Kaczorek, Tadeusz | |
| dc.date.accessioned | 2021-01-22T11:45:40Z | - |
| dc.date.available | 2021-01-22T11:45:40Z | - |
| dc.date.created | 2020-02-24 | |
| dc.date.issued | 2020-02-24 | |
| dc.identifier.citation | Kaczorek T. Angles Between Matrices and Between Polynomials in Fractional Linear Systems and Electrical Circuits / Tadeusz Kaczorek // Computational Problems of Electrical Engineering. — Lviv : Lviv Politechnic Publishing House, 2020. — Vol 10. — No 1. — P. 1–10. | |
| dc.identifier.uri | https://ena.lpnu.ua/handle/ntb/55978 | - |
| dc.description.abstract | Сформульовано поняття кутів між матрицями та між
поліномами дробових лінійних систем та електричних кіл.
Під час аналізу кутів між матрицями стану дробових лінійних систем засновано добуток Адамара з двох матриць.
Розглянуто також кути між матрицями та їх функції.
Досліджено кути між симетричною й несиметричною
частинами матриць. Проаналізовано кути між поліномами
передатних матриць дробових лінійних систем та встановлено їхні деякі нові властивості. | |
| dc.description.abstract | The notions of angles between matrices
and between polynomials of fractional linear systems
and electrical circuits are proposed. In analysis of angles
between state matrices of fractional linear systems the
Hadamard product of two matrices is applied. The
angles between matrices and their functions are also
addressed. The angles between symmetrical and
asymmetrical part of matrices are investigated. The
angles between polynomials of transfer matrices of
fractional linear systems are analyzed and some new
properties are established. | |
| dc.format.extent | 1-10 | |
| dc.language.iso | en | |
| dc.publisher | Видавництво Львівської політехніки | |
| dc.publisher | Lviv Politechnic Publishing House | |
| dc.relation.ispartof | Computational Problems of Electrical Engineering, 1 (10), 2020 | |
| dc.subject | angle between matrices | |
| dc.subject | polynomials | |
| dc.subject | matrix function | |
| dc.subject | linear | |
| dc.subject | electrical circuit | |
| dc.title | Angles Between Matrices and Between Polynomials in Fractional Linear Systems and Electrical Circuits | |
| dc.title.alternative | Кути між матрицями та між поліномами в дробових лінійних системах та електричних колах | |
| dc.type | Article | |
| dc.rights.holder | © Національний університет “Львівська політехніка”, 2020 | |
| dc.contributor.affiliation | Bialystok University of Technology | |
| dc.format.pages | 10 | |
| dc.identifier.citationen | Kaczorek T. Angles Between Matrices and Between Polynomials in Fractional Linear Systems and Electrical Circuits / Tadeusz Kaczorek // Computational Problems of Electrical Engineering. — Lviv : Lviv Politechnic Publishing House, 2020. — Vol 10. — No 1. — P. 1–10. | |
| dc.relation.references | [1] M. Ait Rami and F. Tadeo, “Controller Synthesis for Positive Linear Systems With Bounded Controls”, IEEE Transactions on Circuits and Systems, vol. 54, no. 2, pp. 151–155, 2007. | |
| dc.relation.references | [2] S. Domek and P. Dworakm Theoretical Developments and Aplications of Non-Integer Order Systems, Springer 2016. | |
| dc.relation.references | [3] L. Farina and S. Rinaldi, Positive Linear Systems; Theory and Applications. J. Wiley, New York, 2000. | |
| dc.relation.references | [4] F. R. Gantmacher, The Theory of Matrices. Chelsea 1974. | |
| dc.relation.references | [5] T. Kaczorek,: “A class of positive and stable timevarying electrical circuits. Electrical Review”, vol. 91, no. 5, 2015, 121–124. | |
| dc.relation.references | [6] T. Kaczorek, “Angles between matrices and between polynomials in analysis of electrical circuits”, Proceedings of SPIE, Bellingham WA, USA, Art. vol. 8903, no 3903–35. | |
| dc.relation.references | [7] T. Kaczorek, “Normal positive electrical circuits”, IET Circuits Theory and Applications, vol. 9, no. 5, pp. 691–699, 2015. | |
| dc.relation.references | [8] T. Kaczorek, Positive 1D and 2D Systems. SpringerVerlag. London, 2002. | |
| dc.relation.references | [9] T. Kaczorek, “Positive electrical circuits and their reachability”, Archives of Electrical Engineering, vol. 60, no. 3, pp. 283–301, 2011. | |
| dc.relation.references | [10] T. Kaczorek Positive fractional linear electrical circuits, Proceedings of SPIE, vol. 8903, Bellingham WA, USA, Art. No 3903–35. | |
| dc.relation.references | [11] T. Kaczorek, Positive and stable electrical circuits with state matrices, Archives of Electrical Engineering, vol. 67, no. 3, pp. 563–578, 2018. | |
| dc.relation.references | [12] T. Kaczorek, Selected Problems of Fractional Systems Theory, Springer, Berlin, 2011. | |
| dc.relation.references | [13] T. Kaczorek, Vectors and Matrices in Automation and Electrotechnics, WNT, Warszawa,1998 (in Polish). | |
| dc.relation.references | [14] T. Kaczorek and K. Borawski, “Stability of continuous-time and discrete-time linear systems with inverse state matrices”, Measurement Automation Monitoring, vol. 62, no. 4, pp. 132–135, 2016. | |
| dc.relation.references | [15] T. Kaczorek and K. Rogowski, “Fractional Linear Systems and Electrical Circuits”, Studies in Systems, Decision and Control, vol. 13, Springer, 2015. | |
| dc.relation.references | [16] T. Kaczorek and L. Sajewski, “Transfer matrices with positive coefficients for standard and fractional positive linear systems”, in Proc. MMAR, Międzyzdroje 2018, http:/ieeeexplore.ieee.org. | |
| dc.relation.references | [17] K.J.L atawiec, M. Lukaniszyn and R. Stanisławski, Advances in Modelling and Control of Non-integer Order Systems, Springer 2015. | |
| dc.relation.references | [18] A. B. Malinowska, D. Mozyrska and L. Sajewski Advances in Non-Integer Order Calculus and Its Applications, Springer 2020. | |
| dc.relation.references | [19] P. Ostalczyk, Discrete Fractional Calculus, World Scientific, 2016. | |
| dc.relation.referencesen | [1] M. Ait Rami and F. Tadeo, "Controller Synthesis for Positive Linear Systems With Bounded Controls", IEEE Transactions on Circuits and Systems, vol. 54, no. 2, pp. 151–155, 2007. | |
| dc.relation.referencesen | [2] S. Domek and P. Dworakm Theoretical Developments and Aplications of Non-Integer Order Systems, Springer 2016. | |
| dc.relation.referencesen | [3] L. Farina and S. Rinaldi, Positive Linear Systems; Theory and Applications. J. Wiley, New York, 2000. | |
| dc.relation.referencesen | [4] F. R. Gantmacher, The Theory of Matrices. Chelsea 1974. | |
| dc.relation.referencesen | [5] T. Kaczorek,: "A class of positive and stable timevarying electrical circuits. Electrical Review", vol. 91, no. 5, 2015, 121–124. | |
| dc.relation.referencesen | [6] T. Kaczorek, "Angles between matrices and between polynomials in analysis of electrical circuits", Proceedings of SPIE, Bellingham WA, USA, Art. vol. 8903, no 3903–35. | |
| dc.relation.referencesen | [7] T. Kaczorek, "Normal positive electrical circuits", IET Circuits Theory and Applications, vol. 9, no. 5, pp. 691–699, 2015. | |
| dc.relation.referencesen | [8] T. Kaczorek, Positive 1D and 2D Systems. SpringerVerlag. London, 2002. | |
| dc.relation.referencesen | [9] T. Kaczorek, "Positive electrical circuits and their reachability", Archives of Electrical Engineering, vol. 60, no. 3, pp. 283–301, 2011. | |
| dc.relation.referencesen | [10] T. Kaczorek Positive fractional linear electrical circuits, Proceedings of SPIE, vol. 8903, Bellingham WA, USA, Art. No 3903–35. | |
| dc.relation.referencesen | [11] T. Kaczorek, Positive and stable electrical circuits with state matrices, Archives of Electrical Engineering, vol. 67, no. 3, pp. 563–578, 2018. | |
| dc.relation.referencesen | [12] T. Kaczorek, Selected Problems of Fractional Systems Theory, Springer, Berlin, 2011. | |
| dc.relation.referencesen | [13] T. Kaczorek, Vectors and Matrices in Automation and Electrotechnics, WNT, Warszawa,1998 (in Polish). | |
| dc.relation.referencesen | [14] T. Kaczorek and K. Borawski, "Stability of continuous-time and discrete-time linear systems with inverse state matrices", Measurement Automation Monitoring, vol. 62, no. 4, pp. 132–135, 2016. | |
| dc.relation.referencesen | [15] T. Kaczorek and K. Rogowski, "Fractional Linear Systems and Electrical Circuits", Studies in Systems, Decision and Control, vol. 13, Springer, 2015. | |
| dc.relation.referencesen | [16] T. Kaczorek and L. Sajewski, "Transfer matrices with positive coefficients for standard and fractional positive linear systems", in Proc. MMAR, Międzyzdroje 2018, http:/ieeeexplore.ieee.org. | |
| dc.relation.referencesen | [17] K.J.L atawiec, M. Lukaniszyn and R. Stanisławski, Advances in Modelling and Control of Non-integer Order Systems, Springer 2015. | |
| dc.relation.referencesen | [18] A. B. Malinowska, D. Mozyrska and L. Sajewski Advances in Non-Integer Order Calculus and Its Applications, Springer 2020. | |
| dc.relation.referencesen | [19] P. Ostalczyk, Discrete Fractional Calculus, World Scientific, 2016. | |
| dc.citation.issue | 1 | |
| dc.citation.spage | 1 | |
| dc.citation.epage | 10 | |
| dc.coverage.placename | Львів | |
| dc.coverage.placename | Lviv | |
| Appears in Collections: | Computational Problems Of Electrical Engineering. – 2020 – Vol. 10, No. 1
|
