Class information for:
Level 2: CARLEMAN ESTIMATES//NULL CONTROLLABILITY//GENERAL DECAY

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
599 1                   GENERAL DECAY//RELAXATION FUNCTION//ENERGY DECAY 3286
6233 1                   STATE CONSTRAINTS//OPTIMAL CONTROL PROBLEM//ETSI IND TELECOMUNICAC 1538
7223 1                   CARLEMAN ESTIMATES//NULL CONTROLLABILITY//CARLEMAN INEQUALITIES 1418
31698 1                   BEST PARAMETERS//BARBASHIN TYPE EQUATIONS//FUNCTIONALS WITH DEVIATING ARGUMENTS 162
32687 1                   AVERAGE DISPLACEMENT AMPLITUDE//AVERAGE ENERGY AMPLITUDE//CONTROL OF INDUSTRIAL EMISSIONS 148
33094 1                   DIFFERENTIAL DIFFERENCE EQUAT//HULL OF AN ALMOST PERIODIC MATRIX//LYAPUNOV DIFFERENTIAL EQUATION 143
33166 1                   CONTROLLABILITY PROBLEM//HALF AXIS//INFLUENCE OPERATOR 142
33844 1                   NO REGRET CONTROL//STACKELBERG NASH STRATEGIES//HIERARCHIC CONTROL 133

Terms with highest relevance score


rank Category termType chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 CARLEMAN ESTIMATES authKW 696901 3% 70% 219
2 NULL CONTROLLABILITY authKW 609112 2% 82% 165
3 GENERAL DECAY authKW 383995 1% 90% 94
4 WAVE EQUATION authKW 371401 5% 23% 364
5 EXACT CONTROLLABILITY authKW 324649 2% 58% 124
6 SIAM JOURNAL ON CONTROL AND OPTIMIZATION journal 288055 7% 13% 489
7 OBSERVABILITY INEQUALITY authKW 276751 1% 94% 65
8 RELAXATION FUNCTION authKW 267951 1% 71% 84
9 OPTIMAL CONTROL PROBLEM authKW 246435 2% 36% 153
10 ENERGY DECAY authKW 236992 1% 66% 79

Web of Science journal categories


chi_square_rank Category chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 Mathematics, Applied 206508 68% 1% 4713
2 Mathematics 70018 44% 1% 3041
3 Automation & Control Systems 35555 15% 1% 1058
4 Operations Research & Management Science 3112 5% 0% 364
5 Computer Science, Cybernetics 602 1% 0% 67
6 Mathematics, Interdisciplinary Applications 592 3% 0% 179
7 Physics, Mathematical 482 3% 0% 211
8 Mechanics 427 4% 0% 264
9 Engineering, General 126 2% 0% 110
10 Computer Science, Information Systems 44 1% 0% 91

Address terms


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 ETSI IND TELECOMUNICAC 151774 1% 88% 38
2 DPTO EDAN 112626 1% 69% 36
3 EDAN 73200 0% 60% 27
4 SCI TECH VALENCIENNES 72319 1% 41% 39
5 MATH 49923 32% 1% 2243
6 FR CNRS 2956 44492 0% 36% 27
7 KBS 42121 0% 55% 17
8 UNIV NAT SCI 40913 0% 28% 32
9 EDUC ACCREDITAT 37662 0% 83% 10
10 NONLINEAR SCI SYST STRUCT 36900 0% 58% 14

Journals


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 SIAM JOURNAL ON CONTROL AND OPTIMIZATION 288055 7% 13% 489
2 ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS 139738 2% 20% 158
3 MATHEMATICAL CONTROL AND RELATED FIELDS 79805 1% 33% 54
4 EVOLUTION EQUATIONS AND CONTROL THEORY 77803 1% 31% 56
5 APPLIED MATHEMATICS AND OPTIMIZATION 73287 2% 12% 136
6 NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS 34320 4% 3% 306
7 MATHEMATICAL METHODS IN THE APPLIED SCIENCES 28810 2% 4% 160
8 APPLICABLE ANALYSIS 26522 1% 6% 96
9 JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 25611 5% 2% 352
10 DIFFERENTIAL EQUATIONS 22931 2% 4% 141

Author Key Words


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass LCSH search Wikipedia search
1 CARLEMAN ESTIMATES 696901 3% 70% 219 Search CARLEMAN+ESTIMATES Search CARLEMAN+ESTIMATES
2 NULL CONTROLLABILITY 609112 2% 82% 165 Search NULL+CONTROLLABILITY Search NULL+CONTROLLABILITY
3 GENERAL DECAY 383995 1% 90% 94 Search GENERAL+DECAY Search GENERAL+DECAY
4 WAVE EQUATION 371401 5% 23% 364 Search WAVE+EQUATION Search WAVE+EQUATION
5 EXACT CONTROLLABILITY 324649 2% 58% 124 Search EXACT+CONTROLLABILITY Search EXACT+CONTROLLABILITY
6 OBSERVABILITY INEQUALITY 276751 1% 94% 65 Search OBSERVABILITY+INEQUALITY Search OBSERVABILITY+INEQUALITY
7 RELAXATION FUNCTION 267951 1% 71% 84 Search RELAXATION+FUNCTION Search RELAXATION+FUNCTION
8 OPTIMAL CONTROL PROBLEM 246435 2% 36% 153 Search OPTIMAL+CONTROL+PROBLEM Search OPTIMAL+CONTROL+PROBLEM
9 ENERGY DECAY 236992 1% 66% 79 Search ENERGY+DECAY Search ENERGY+DECAY
10 EXPONENTIAL DECAY 223905 2% 35% 141 Search EXPONENTIAL+DECAY Search EXPONENTIAL+DECAY

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 2


rank cluster_id2 link
1 2987 DISTRIBUTED PARAMETER SYSTEMS//INFINITE DIMENSIONAL SYSTEMS//BOUNDARY CONTROL
2 1222 GLOBAL ATTRACTOR//PULLBACK ATTRACTOR//RANDOM ATTRACTOR
3 2773 CONTROL SETS//OPTIMAL CONTROL//OCCUPATIONAL MEASURES
4 2496 INVERSE PROBLEMS//INVERSE SCATTERING//TRANSMISSION EIGENVALUES
5 2090 ILL POSED PROBLEM//INVERSE PROBLEM//DISCREPANCY PRINCIPLE
6 2680 PIECEWISE CONSTANT ARGUMENT//ALMOST AUTOMORPHIC//ALMOST PERIODIC
7 1719 CONSERVATION LAWS//RIEMANN PROBLEM//DELTA SHOCK WAVE
8 543 DISCONTINUOUS GALERKIN METHOD//SIAM JOURNAL ON NUMERICAL ANALYSIS//DOMAIN DECOMPOSITION
9 1319 NAVIER STOKES EQUATIONS//REGULARITY CRITERION//JOURNAL OF MATHEMATICAL FLUID MECHANICS
10 1993 GENERALIZED THERMOELASTICITY//JOURNAL OF THERMAL STRESSES//THERMOELASTICITY

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