Class information for:
Level 2: DISTRIBUTED PARAMETER SYSTEMS//CARLEMAN ESTIMATES//NULL CONTROLLABILITY

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
2139 5047 21.6 40%


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
244 3       MATHEMATICS, APPLIED//MATHEMATICS//BLOW UP 46988
2139 2             DISTRIBUTED PARAMETER SYSTEMS//CARLEMAN ESTIMATES//NULL CONTROLLABILITY 5047
4237 1                   CARLEMAN ESTIMATES//NULL CONTROLLABILITY//CARLEMAN INEQUALITIES 1823
6597 1                   BOUNDARY CONTROL//DISTRIBUTED PARAMETER SYSTEMS//INFINITE DIMENSIONAL SYSTEMS 1466
16982 1                   DISTRIBUTED PARAMETER SYSTEMS//TRANSPORT REACTION PROCESSES//DIFFUSION CONVECTION REACTION PROCESSES 624
20675 1                   NEUTRAL TYPE SYSTEMS//MAXIMAL ASYMPTOTICS//NONLINEAR STOCHASTIC DELAY EQUATIONS 450
22751 1                   IRRIGATION CANALS//CANALS//CANAL AUTOMATION 370
33066 1                   REGIONAL OBSERVABILITY//A S UFR//MACS GRP 130
35251 1                   BOUNDARY CONTROL THEORY//COMPUTATER//HIGHER ORDER PARTIAL DIFFERENTIAL EQUATION 100
36225 1                   LINEAR RECURSION EQUATION//OPTIMAL INTERPOLATING SPLINES//OPTIMAL SMOOTHING SPLINES 84

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 DISTRIBUTED PARAMETER SYSTEMS authKW 900782 6% 47% 315
2 CARLEMAN ESTIMATES authKW 755511 4% 65% 191
3 NULL CONTROLLABILITY authKW 737413 3% 81% 151
4 BOUNDARY CONTROL authKW 510974 4% 42% 201
5 INFINITE DIMENSIONAL SYSTEMS authKW 305756 2% 43% 119
6 EXACT CONTROLLABILITY authKW 259328 2% 46% 94
7 CARLEMAN INEQUALITIES authKW 239610 1% 70% 57
8 SIAM JOURNAL ON CONTROL AND OPTIMIZATION journal 216252 7% 10% 361
9 CONTROLLABILITY authKW 207698 5% 14% 241
10 DPTO EDAN address 159212 1% 71% 37

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 141186 35% 1% 1747
2 Mathematics, Applied 54194 41% 0% 2083
3 Mathematics 22327 29% 0% 1487
4 Operations Research & Management Science 3980 7% 0% 342
5 Agricultural Engineering 1416 2% 0% 116
6 Engineering, Electrical & Electronic 1356 12% 0% 607
7 Water Resources 882 4% 0% 211
8 Mathematics, Interdisciplinary Applications 864 3% 0% 173
9 Engineering, Civil 470 3% 0% 168
10 Engineering, Chemical 454 5% 0% 273

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 DPTO EDAN 159212 1% 71% 37
2 EDAN 89984 0% 60% 25
3 A S UFR 62208 0% 86% 12
4 MACS GRP 56780 0% 72% 13
5 NONLINEAR MATH MODELING METHODS 44534 0% 82% 9
6 KLMNS 36290 0% 100% 6
7 UMR 7598 35922 1% 9% 66
8 JACQUES LOUIS LIONS 30821 2% 6% 89
9 RECH MATH AVANCEE 29590 1% 10% 51
10 BEIHANG UNIV 26555 0% 22% 20

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 SIAM JOURNAL ON CONTROL AND OPTIMIZATION 216252 7% 10% 361
2 ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS 105138 2% 15% 117
3 MATHEMATICAL CONTROL AND RELATED FIELDS 55891 1% 25% 37
4 MATHEMATICS OF CONTROL SIGNALS AND SYSTEMS 45767 1% 13% 59
5 SYSTEMS & CONTROL LETTERS 41985 3% 4% 168
6 EVOLUTION EQUATIONS AND CONTROL THEORY 24587 1% 16% 26
7 JOURNAL OF IRRIGATION AND DRAINAGE ENGINEERING-ASCE 22239 1% 6% 62
8 INTERNATIONAL JOURNAL OF CONTROL 21981 3% 2% 154
9 APPLIED MATHEMATICS AND OPTIMIZATION 21392 1% 6% 63
10 IMA JOURNAL OF MATHEMATICAL CONTROL AND INFORMATION 17231 1% 7% 43

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 DISTRIBUTED PARAMETER SYSTEMS 900782 6% 47% 315 Search DISTRIBUTED+PARAMETER+SYSTEMS Search DISTRIBUTED+PARAMETER+SYSTEMS
2 CARLEMAN ESTIMATES 755511 4% 65% 191 Search CARLEMAN+ESTIMATES Search CARLEMAN+ESTIMATES
3 NULL CONTROLLABILITY 737413 3% 81% 151 Search NULL+CONTROLLABILITY Search NULL+CONTROLLABILITY
4 BOUNDARY CONTROL 510974 4% 42% 201 Search BOUNDARY+CONTROL Search BOUNDARY+CONTROL
5 INFINITE DIMENSIONAL SYSTEMS 305756 2% 43% 119 Search INFINITE+DIMENSIONAL+SYSTEMS Search INFINITE+DIMENSIONAL+SYSTEMS
6 EXACT CONTROLLABILITY 259328 2% 46% 94 Search EXACT+CONTROLLABILITY Search EXACT+CONTROLLABILITY
7 CARLEMAN INEQUALITIES 239610 1% 70% 57 Search CARLEMAN+INEQUALITIES Search CARLEMAN+INEQUALITIES
8 CONTROLLABILITY 207698 5% 14% 241 Search CONTROLLABILITY Search CONTROLLABILITY
9 WELL POSED LINEAR SYSTEM 151429 1% 96% 26 Search WELL+POSED+LINEAR+SYSTEM Search WELL+POSED+LINEAR+SYSTEM
10 OBSERVABILITY INEQUALITY 143147 1% 62% 38 Search OBSERVABILITY+INEQUALITY Search OBSERVABILITY+INEQUALITY

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 CANNARSA, P , MARTINEZ, P , VANCOSTENOBLE, J , (2016) GLOBAL CARLEMAN ESTIMATES FOR DEGENERATE PARABOLIC OPERATORS WITH APPLICATIONS INTRODUCTION.MEMOIRS OF THE AMERICAN MATHEMATICAL SOCIETY. VOL. 239. ISSUE 1133. P. 1 -+ 72 78% 0
2 ERVEDOZA, S , ZUAZUA, E , (2012) THE WAVE EQUATION: CONTROL AND NUMERICS.CONTROL OF PARTIAL DIFFERENTIAL EQUATIONS: CETRARO, ITALY 2010. VOL. 2048. ISSUE . P. 245 -339 61 81% 5
3 TUCSNAK, M , WEISS, G , (2014) WELL-POSED SYSTEMS-THE LTI CASE AND BEYOND.AUTOMATICA. VOL. 50. ISSUE 7. P. 1757 -1779 52 87% 8
4 LI, HX , QI, CK , (2010) MODELING OF DISTRIBUTED PARAMETER SYSTEMS FOR APPLICATIONS-A SYNTHESIZED REVIEW FROM TIME-SPACE SEPARATION.JOURNAL OF PROCESS CONTROL. VOL. 20. ISSUE 8. P. 891-901 63 55% 57
5 YAMAMOTO, M , (2009) CARLEMAN ESTIMATES FOR PARABOLIC EQUATIONS AND APPLICATIONS.INVERSE PROBLEMS. VOL. 25. ISSUE 12. P. - 48 75% 57
6 HE, W , ZHANG, S , (2017) CONTROL DESIGN FOR NONLINEAR FLEXIBLE WINGS OF A ROBOTIC AIRCRAFT.IEEE TRANSACTIONS ON CONTROL SYSTEMS TECHNOLOGY. VOL. 25. ISSUE 1. P. 351 -357 24 69% 2
7 CHOWDHURY, S , (2015) APPROXIMATE CONTROLLABILITY FOR LINEARIZED COMPRESSIBLE BAROTROPIC NAVIER-STOKES SYSTEM IN ONE AND TWO DIMENSIONS.JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. VOL. 422. ISSUE 2. P. 1034 -1057 37 95% 1
8 ALABAU-BOUSSOUIRA, F , (2014) INSENSITIZING EXACT CONTROLS FOR THE SCALAR WAVE EQUATION AND EXACT CONTROLLABILITY OF 2-COUPLED CASCADE SYSTEMS OF PDE'S BY A SINGLE CONTROL.MATHEMATICS OF CONTROL SIGNALS AND SYSTEMS. VOL. 26. ISSUE 1. P. 1-46 34 94% 6
9 ERVEDOZA, S , ZUAZUA, E , (2015) TRANSMUTATION TECHNIQUES AND OBSERVABILITY FOR TIME-DISCRETE APPROXIMATION SCHEMES OF CONSERVATIVE SYSTEMS.NUMERISCHE MATHEMATIK. VOL. 130. ISSUE 3. P. 425 -466 33 92% 0
10 KLIBANOV, MV , (2013) CARLEMAN ESTIMATES FOR GLOBAL UNIQUENESS, STABILITY AND NUMERICAL METHODS FOR COEFFICIENT INVERSE PROBLEMS.JOURNAL OF INVERSE AND ILL-POSED PROBLEMS. VOL. 21. ISSUE 4. P. 477-560 47 57% 25

Classes with closest relation at Level 2


Rank Class id link
1 1160 STRICHARTZ ESTIMATES//GLOBAL EXISTENCE//BLOW UP
2 3169 OPTIMAL CONTROL//STATE CONSTRAINTS//OPTIMAL CONTROL PROBLEM
3 3319 PROPER ORTHOGONAL DECOMPOSITION//REDUCED BASIS METHOD//REDUCED ORDER MODEL
4 1984 INVERSE PROBLEMS//INVERSE SCATTERING//TOPOLOGICAL DERIVATIVE
5 1985 ILL POSED PROBLEM//INVERSE HEAT CONDUCTION PROBLEM//DISCREPANCY PRINCIPLE
6 1287 DIFFERENCE EQUATIONS//MILD SOLUTION//JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS
7 538 AUTOMATION & CONTROL SYSTEMS//NONLINEAR SYSTEMS//ITERATIVE LEARNING CONTROL
8 28 AUTOMATION & CONTROL SYSTEMS//IEEE TRANSACTIONS ON AUTOMATIC CONTROL//INTERNATIONAL JOURNAL OF CONTROL
9 1035 MODEL PREDICTIVE CONTROL//AUTOMATION & CONTROL SYSTEMS//JOURNAL OF PROCESS CONTROL
10 4124 P REGULARITY//ABNORMAL POINT//P FACTOR OPERATOR

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