Normal positive electrical circuits
A new notion of normal positive electrical circuits is proposed. It is shown that any positive second-order electrical circuit with 2-inputs and 2-outputs is normal and a positive electrical circuit with m-inputs and p-outputs (m, p ≥ 2) is normal if its system matrix A has distinct eigenvalues or i...
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| Veröffentlicht in: | IET control theory & applications Jg. 9; H. 5; S. 691 - 699 |
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| Format: | Journal Article |
| Sprache: | Englisch |
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The Institution of Engineering and Technology
19.03.2015
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| ISSN: | 1751-8644, 1751-8652 |
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| Abstract | A new notion of normal positive electrical circuits is proposed. It is shown that any positive second-order electrical circuit with 2-inputs and 2-outputs is normal and a positive electrical circuit with m-inputs and p-outputs (m, p ≥ 2) is normal if its system matrix A has distinct eigenvalues or its system matrix is symmetric. |
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| AbstractList | A new notion of normal positive electrical circuits is proposed. It is shown that any positive second‐order electrical circuit with 2‐inputs and 2‐outputs is normal and a positive electrical circuit with m ‐inputs and p ‐outputs ( m , p ≥ 2) is normal if its system matrix A has distinct eigenvalues or its system matrix is symmetric. A new notion of normal positive electrical circuits is proposed. It is shown that any positive second-order electrical circuit with 2-inputs and 2-outputs is normal and a positive electrical circuit with m-inputs and p-outputs (m, p > or = 2) is normal if its system matrix A has distinct eigenvalues or its system matrix is symmetric. |
| Author | Kaczorek, Tadeusz |
| Author_xml | – sequence: 1 givenname: Tadeusz surname: Kaczorek fullname: Kaczorek, Tadeusz email: kaczorek@isep.pw.edu.pl organization: Faculty of Electrical Engineering, Bialystok University of Technology, Wiejska 45D, 15-351 Bialystok, Poland |
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| CitedBy_id | crossref_primary_10_1002_asjc_3770 crossref_primary_10_1109_TCSI_2023_3325161 crossref_primary_10_2478_amcs_2018_0024 crossref_primary_10_1109_TNNLS_2021_3085396 crossref_primary_10_1016_j_sysconle_2024_105854 |
| Cites_doi | 10.1016/j.dam.2009.06.017 10.1007/978-1-4612-6392-0 10.1007/978-1-84628-605-6 10.1016/S1474-6670(17)70094-8 10.1109/TCSI.2010.2096111 10.1007/978-1-4471-0221-2 10.1109/TCAD.2010.2059330 10.2478/aee-2013-0045 10.1109/TNN.2003.821555 10.2478/v10006-011-0028-8 10.2478/v10006-008-0020-0 10.1002/9781118033029 10.2478/v10171-011-0026-3 10.2478/v10175-010-0043-1 10.2478/v10175-010-0057-8 10.1007/978-3-642-20502-6 |
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| Keywords | normal positive electrical circuits eigenvalues system matrix matrix decomposition positive second-order electrical circuit eigenvalues and eigenfunctions networks (circuits) |
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| References | Kaczorek, T. (C12) 2008; 18 Kaczorek, T. (C24) 2011; 21 Kalman, R.E. (C3) 1963; 1 Kaczorek, T. (C17) 2010; 86 Reis, T.; Stykel, T. (C19) 2010; 29 Kaczorek, T. (C22) 2010; 58 Kaczorek, T. (C21) 2013; 62 Aracena, J.; Demongeot, J.; Goles, E. (C16) 2004; 15 Richard, A. (C15) 2009; 157 Kaczorek, T. (C10) 2013; 89 Kaczorek, T. (C11) 2011; 60 Buslowicz, M. (C13) 2010; 58 Kaczorek, T. (C20) 2012; 88 Kaczorek, T. (C23) 2011; 58 2010; 58 2012 2011 2013; 89 2011; 60 2008; 18 2013; 62 1998 1974 2007 2006 2009; 157 1992 1970 2002 2011; 58 1963; 1 2010; 86 2000 2010; 29 2004; 15 2011; 21 1960 1980 2012; 88 e_1_2_7_5_1 Kaczorek T. (e_1_2_7_11_1) 2013; 89 e_1_2_7_3_1 Kaczorek T. (e_1_2_7_7_1) 1992 Rosenbrock H.H. (e_1_2_7_9_1) 1970 e_1_2_7_17_1 e_1_2_7_16_1 e_1_2_7_2_1 e_1_2_7_15_1 e_1_2_7_14_1 e_1_2_7_13_1 e_1_2_7_12_1 e_1_2_7_10_1 e_1_2_7_26_1 Kalman R.E. (e_1_2_7_4_1) 1963; 1 Kaczorek T. (e_1_2_7_18_1) 2010; 86 Kaczorek T. (e_1_2_7_21_1) 2012; 88 Kaczorek T. (e_1_2_7_27_1) 1998 e_1_2_7_25_1 Antsaklis P.J. (e_1_2_7_6_1) 2006 e_1_2_7_24_1 Kaczorek T. (e_1_2_7_19_1) 2012 e_1_2_7_23_1 e_1_2_7_22_1 e_1_2_7_20_1 Kailath T. (e_1_2_7_8_1) 1980 |
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| Snippet | A new notion of normal positive electrical circuits is proposed. It is shown that any positive second-order electrical circuit with 2-inputs and 2-outputs is... A new notion of normal positive electrical circuits is proposed. It is shown that any positive second‐order electrical circuit with 2‐inputs and 2‐outputs is... |
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| SubjectTerms | Control theory Eigenvalues eigenvalues and eigenfunctions Electric circuits matrix decomposition networks (circuits) normal positive electrical circuits positive second‐order electrical circuit Regular Papers Symmetry system matrix |
| Title | Normal positive electrical circuits |
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