Class information for:
Level 1: CARLEMAN ESTIMATES//NULL CONTROLLABILITY//CARLEMAN INEQUALITIES

Basic class information
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
14 4 MATHEMATICS//MATHEMATICS, APPLIED//MATH 912822
587 3       PROPER ORTHOGONAL DECOMPOSITION//SIAM JOURNAL ON CONTROL AND OPTIMIZATION//DISTRIBUTED PARAMETER SYSTEMS 15113
1712 2             CARLEMAN ESTIMATES//NULL CONTROLLABILITY//GENERAL DECAY 6970
7223 1                   CARLEMAN ESTIMATES//NULL CONTROLLABILITY//CARLEMAN INEQUALITIES 1418

Terms with highest relevance score


rank Category termType chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 CARLEMAN ESTIMATES authKW 2858323 14% 64% 200
2 NULL CONTROLLABILITY authKW 2781414 11% 79% 159
3 CARLEMAN INEQUALITIES authKW 899541 4% 69% 59
4 DPTO EDAN address 553882 3% 69% 36
5 CONTROLLABILITY authKW 404279 13% 10% 179
6 OBSERVABILITY INEQUALITY authKW 394532 2% 51% 35
7 INSENSITIZING CONTROLS authKW 377818 1% 100% 17
8 EDAN address 333840 2% 58% 26
9 BANG BANG PROPERTY authKW 316079 1% 89% 16
10 APPROXIMATE CONTROLLABILITY authKW 314346 4% 23% 61

Web of Science journal categories


chi_square_rank Category chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 Mathematics, Applied 41137 67% 0% 949
2 Mathematics 16657 47% 0% 667
3 Automation & Control Systems 15371 22% 0% 311
4 Physics, Mathematical 479 6% 0% 82
5 Operations Research & Management Science 474 5% 0% 65
6 Mathematics, Interdisciplinary Applications 234 3% 0% 48
7 Computer Science, Cybernetics 36 1% 0% 8
8 Mechanics 29 3% 0% 38
9 Multidisciplinary Sciences 9 1% 0% 10
10 Engineering, General 1 1% 0% 11

Address terms


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 DPTO EDAN 553882 3% 69% 36
2 EDAN 333840 2% 58% 26
3 KLMNS 155572 0% 100% 7
4 UMR 7598 78976 4% 7% 52
5 LMDPUMMISCO IRD UPMC 71117 0% 80% 4
6 JACQUES LOUIS LIONS 67632 5% 4% 70
7 CNRS UMR 2706 66674 0% 100% 3
8 DIPARTIMENTO SCI MATEMAT GIUSEPPE LUIGI LAGRANGE 55556 0% 50% 5
9 MACS TEAM 55556 0% 50% 5
10 INVERSE PROBLEMS 44449 0% 100% 2

Journals


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS 146809 5% 9% 73
2 MATHEMATICAL CONTROL AND RELATED FIELDS 137875 2% 19% 32
3 SIAM JOURNAL ON CONTROL AND OPTIMIZATION 94073 9% 3% 126
4 EVOLUTION EQUATIONS AND CONTROL THEORY 44049 1% 10% 19
5 JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES 25017 3% 3% 40
6 INVERSE PROBLEMS 22631 4% 2% 60
7 COMPTES RENDUS MATHEMATIQUE 20690 4% 1% 63
8 APPLICABLE ANALYSIS 15450 2% 2% 33
9 MATHEMATICS OF CONTROL SIGNALS AND SYSTEMS 15286 1% 4% 18
10 JOURNAL OF INVERSE AND ILL-POSED PROBLEMS 11934 1% 4% 15

Author Key Words


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass LCSH search Wikipedia search
1 CARLEMAN ESTIMATES 2858323 14% 64% 200 Search CARLEMAN+ESTIMATES Search CARLEMAN+ESTIMATES
2 NULL CONTROLLABILITY 2781414 11% 79% 159 Search NULL+CONTROLLABILITY Search NULL+CONTROLLABILITY
3 CARLEMAN INEQUALITIES 899541 4% 69% 59 Search CARLEMAN+INEQUALITIES Search CARLEMAN+INEQUALITIES
4 CONTROLLABILITY 404279 13% 10% 179 Search CONTROLLABILITY Search CONTROLLABILITY
5 OBSERVABILITY INEQUALITY 394532 2% 51% 35 Search OBSERVABILITY+INEQUALITY Search OBSERVABILITY+INEQUALITY
6 INSENSITIZING CONTROLS 377818 1% 100% 17 Search INSENSITIZING+CONTROLS Search INSENSITIZING+CONTROLS
7 BANG BANG PROPERTY 316079 1% 89% 16 Search BANG+BANG+PROPERTY Search BANG+BANG+PROPERTY
8 APPROXIMATE CONTROLLABILITY 314346 4% 23% 61 Search APPROXIMATE+CONTROLLABILITY Search APPROXIMATE+CONTROLLABILITY
9 BILINEAR CONTROL 306584 2% 53% 26 Search BILINEAR+CONTROL Search BILINEAR+CONTROL
10 OBSERVABILITY ESTIMATE 213351 1% 80% 12 Search OBSERVABILITY+ESTIMATE Search OBSERVABILITY+ESTIMATE

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.

Classes with closest relation at Level 1


rank cluster_id2 link
1 20357 UNIQUE CONTINUATION//STRONG UNIQUE CONTINUATION//NODAL SETS
2 599 GENERAL DECAY//RELAXATION FUNCTION//ENERGY DECAY
3 36541 A S UFR//MACS GRP//REGIONAL OBSERVABILITY
4 33166 CONTROLLABILITY PROBLEM//HALF AXIS//INFLUENCE OPERATOR
5 33844 NO REGRET CONTROL//STACKELBERG NASH STRATEGIES//HIERARCHIC CONTROL
6 18031 BOUSSINESQ SYSTEM//KORTEWEG DE VRIES EQUATION//DISSIPATIVE NONLINEAR EVOLUTION EQUATION
7 9243 CALDERON PROBLEM//INVERSE CONDUCTIVITY PROBLEM//INVERSE BOUNDARY VALUE PROBLEM
8 18707 FLUID RIGID BODY INTERACTION//GENERAL OUTFLOW CONDITION//HASEGAWA WAKATANI EQUATIONS
9 19704 EXACT BOUNDARY CONTROLLABILITY//EXACT BOUNDARY OBSERVABILITY//ISOTHERMAL EULER EQUATIONS
10 11834 UNKNOWN SOURCE//INVERSE SOURCE PROBLEM//UNKNOWN COEFFICIENTS

Go to start page