Class information for:
Level 1: POSITIVE REALIZATION//POSITIVE SYSTEMS//POSITIVE LINEAR SYSTEMS

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
21461 418 18.4 37%


Bar chart of Publication_year

Last years might be incomplete

Hierarchy of classes
The table includes all classes above and classes immediately below the current class.


Cluster id Level Cluster label #P
15 4 MATHEMATICS//MATHEMATICS, APPLIED//MATH 719832
485 3       LINEAR ALGEBRA AND ITS APPLICATIONS//BENFORDS LAW//MATHEMATICS, APPLIED 23484
2286 2             LINEAR ALGEBRA AND ITS APPLICATIONS//MAX ALGEBRA//SIGN PATTERN 4579
21461 1                   POSITIVE REALIZATION//POSITIVE SYSTEMS//POSITIVE LINEAR SYSTEMS 418

Terms with highest relevance score


rank Term termType Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class
1 POSITIVE REALIZATION authKW 1172860 4% 94% 17
2 POSITIVE SYSTEMS authKW 710797 11% 21% 47
3 POSITIVE LINEAR SYSTEMS authKW 550008 4% 47% 16
4 FRACTIONAL authKW 433001 8% 17% 34
5 POSITIVE authKW 428604 8% 17% 34
6 TWO COLORED DIGRAPH authKW 365251 1% 100% 5
7 BULLETIN OF THE POLISH ACADEMY OF SCIENCES-TECHNICAL SCIENCES journal 329852 14% 8% 60
8 HURWITZ PRODUCTS authKW 233759 1% 80% 4
9 CHARGE ROUTING NETWORKS authKW 219151 1% 100% 3
10 POINTWISE COMPLETENESS authKW 219151 1% 100% 3

Web of Science journal categories


Rank Term Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class
1 Automation & Control Systems 13617 37% 0% 156
2 Mathematics, Applied 3450 36% 0% 152
3 Engineering, General 1783 16% 0% 67
4 Mathematics 769 20% 0% 82
5 Computer Science, Cybernetics 511 3% 0% 14
6 Operations Research & Management Science 488 8% 0% 34
7 Engineering, Electrical & Electronic 450 21% 0% 88
8 Computer Science, Artificial Intelligence 250 7% 0% 29
9 Computer Science, Information Systems 137 5% 0% 22
10 Mathematics, Interdisciplinary Applications 80 4% 0% 15

Address terms


Rank Term Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class
1 MOBILE SENSOR SYST MOSES 146100 0% 100% 2
2 AUTOMATY 73050 0% 100% 1
3 CONTROL ENGN ELECT 73050 0% 100% 1
4 ELECT ENGN MEASUREMENT CONTROL SYST 73050 0% 100% 1
5 ELECT TELECOMMU ENGN 73050 0% 100% 1
6 HIGH VOCAT TARNOW 73050 0% 100% 1
7 MOBILE SENSING SYST MOSES 73050 0% 100% 1
8 OFF INNOVAT STRATEGY 73050 0% 100% 1
9 VIA ENIGO 6A 73050 0% 100% 1
10 WYDZIAL ELEKTROTECH ELEKTRON 73050 0% 100% 1

Journals


Rank Term Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class
1 BULLETIN OF THE POLISH ACADEMY OF SCIENCES-TECHNICAL SCIENCES 329852 14% 8% 60
2 ARCHIVES OF CONTROL SCIENCES 82994 2% 11% 10
3 INTERNATIONAL JOURNAL OF APPLIED MATHEMATICS AND COMPUTER SCIENCE 82708 7% 4% 28
4 LINEAR ALGEBRA AND ITS APPLICATIONS 13427 11% 0% 46
5 LECTURE NOTES IN CONTROL AND INFORMATION SCIENCES 11041 5% 1% 20
6 SYSTEMS & CONTROL LETTERS 7942 5% 1% 21
7 CONTROL AND CYBERNETICS 5614 2% 1% 7
8 PRZEGLAD ELEKTROTECHNICZNY 3491 3% 0% 13
9 INTERNATIONAL JOURNAL OF CONTROL 3245 4% 0% 17
10 MULTIDIMENSIONAL SYSTEMS AND SIGNAL PROCESSING 2757 1% 1% 5

Author Key Words


Rank Term Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class		 LCSH search Wikipedia search
1 POSITIVE REALIZATION 1172860 4% 94% 17 Search POSITIVE+REALIZATION Search POSITIVE+REALIZATION
2 POSITIVE SYSTEMS 710797 11% 21% 47 Search POSITIVE+SYSTEMS Search POSITIVE+SYSTEMS
3 POSITIVE LINEAR SYSTEMS 550008 4% 47% 16 Search POSITIVE+LINEAR+SYSTEMS Search POSITIVE+LINEAR+SYSTEMS
4 FRACTIONAL 433001 8% 17% 34 Search FRACTIONAL Search FRACTIONAL
5 POSITIVE 428604 8% 17% 34 Search POSITIVE Search POSITIVE
6 TWO COLORED DIGRAPH 365251 1% 100% 5 Search TWO+COLORED+DIGRAPH Search TWO+COLORED+DIGRAPH
7 HURWITZ PRODUCTS 233759 1% 80% 4 Search HURWITZ+PRODUCTS Search HURWITZ+PRODUCTS
8 CHARGE ROUTING NETWORKS 219151 1% 100% 3 Search CHARGE+ROUTING+NETWORKS Search CHARGE+ROUTING+NETWORKS
9 POINTWISE COMPLETENESS 219151 1% 100% 3 Search POINTWISE+COMPLETENESS Search POINTWISE+COMPLETENESS
10 POINTWISE DEGENERACY 219151 1% 100% 3 Search POINTWISE+DEGENERACY Search POINTWISE+DEGENERACY

Core articles
The table includes core articles in the class. The following variables is taken into account for the relevance score of an article in a cluster c:
(1) Number of references referring to publications in the class.
(2) Share of total number of active references referring to publications in the class.
(3) Age of the article. New articles get higher score than old articles.
(4) Citation rate, normalized to year.


Rank Reference # ref.
in cl.		 Shr. of ref. in
cl.		 Citations
1 BENVENUTI, L , FARINA, L , (2004) TUTORIAL ON THE POSITIVE REALIZATION PROBLEM.IEEE TRANSACTIONS ON AUTOMATIC CONTROL. VOL. 49. ISSUE 5. P. 651 -664 53 76% 147
2 CZAJA, W , JAMING, P , MATOLCSI, M , (2008) AN EFFICIENT ALGORITHM FOR POSITIVE REALIZATIONS.SYSTEMS & CONTROL LETTERS. VOL. 57. ISSUE 5. P. 436 -441 19 100% 2
3 BAILO, E , GELONCH, J , ROMERO-VIVO, S , (2014) ADVANCES ON THE REACHABILITY INDEX OF POSITIVE 2-D SYSTEMS.IEEE TRANSACTIONS ON AUTOMATIC CONTROL. VOL. 59. ISSUE 8. P. 2248 -2251 14 93% 2
4 BENVENUTI, L , (2013) MINIMAL POSITIVE REALIZATIONS OF TRANSFER FUNCTIONS WITH REAL POLES.IEEE TRANSACTIONS ON AUTOMATIC CONTROL. VOL. 58. ISSUE 4. P. 1013 -1017 15 88% 3
5 BENVENUTI, L , (2011) ON THE REACHABLE SET FOR THIRD-ORDER LINEAR DISCRETE-TIME SYSTEMS WITH POSITIVE CONTROL.SYSTEMS & CONTROL LETTERS. VOL. 60. ISSUE 9. P. 690 -698 14 100% 1
6 SAJEWSKI, L , (2016) REACHABILITY, OBSERVABILITY AND MINIMUM ENERGY CONTROL OF FRACTIONAL POSITIVE CONTINUOUS-TIME LINEAR SYSTEMS WITH TWO DIFFERENT FRACTIONAL ORDERS.MULTIDIMENSIONAL SYSTEMS AND SIGNAL PROCESSING. VOL. 27. ISSUE 1. P. 27 -41 10 100% 3
7 BAILO, E , GELONCH, J , ROMERO-VIVO, S , (2009) AN UPPER BOUND ON THE REACHABILITY INDEX FOR A SPECIAL CLASS OF POSITIVE 2-D SYSTEMS.ELECTRONIC JOURNAL OF LINEAR ALGEBRA. VOL. 18. ISSUE . P. 1-12 16 89% 2
8 KACZOREK, T , (2016) MINIMUM ENERGY CONTROL OF FRACTIONAL POSITIVE ELECTRICAL CIRCUITS WITH BOUNDED INPUTS.CIRCUITS SYSTEMS AND SIGNAL PROCESSING. VOL. 35. ISSUE 6. P. 1815 -1829 12 92% 1
9 KIM, K , (2013) A CONSTRUCTIVE POSITIVE REALIZATION WITH SPARSE MATRICES FOR A CONTINUOUS-TIME POSITIVE LINEAR SYSTEM.MATHEMATICAL PROBLEMS IN ENGINEERING. VOL. . ISSUE . P. - 15 83% 0
10 BARTOSIEWICZ, Z , (2013) ON POSITIVE REACHABILITY OF TIME-VARIANT LINEAR SYSTEMS ON TIME SCALES.BULLETIN OF THE POLISH ACADEMY OF SCIENCES-TECHNICAL SCIENCES. VOL. 61. ISSUE 4. P. 905 -910 13 93% 3

Classes with closest relation at Level 1


Rank Class id link
1 26316 INVEST DESARROLLO PROC//IIDP//MIMO THERMAL PLANTS
2 10580 FINITE WORDLENGTH EFFECTS//2 D SYSTEMS//2 D DISCRETE SYSTEMS
3 23771 NONMAXIMAL EIGENVALUES//NONNEGATIVE RANK FACTORIZATION//CONE PRESERVING MAP
4 26727 SCRAMBLING INDEX//PRIMITIVE DIGRAPH//M COMPETITION INDEX
5 2348 SWITCHED SYSTEMS//AVERAGE DWELL TIME//SWITCHED LINEAR SYSTEMS
6 33180 SYNCHRONIZING AUTOMATA//CERNY CONJECTURE//RESET WORD
7 37321 COVERS OF GROUPS//FERRERO PAIR//PLANAR NEARRING
8 3215 FRACTIONAL ORDER SYSTEM//FRACTIONAL ORDER//FRACTIONAL ORDER CHAOTIC SYSTEM
9 22477 JOINT SPECTRAL RADIUS//GENERALIZED SPECTRAL RADIUS//EXTREMAL NORM
10 27052 SIGN PATTERN//POTENTIALLY NILPOTENT//SPECTRALLY ARBITRARY

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