Class information for:
Level 1: STATE CONSTRAINTS//OPTIMAL CONTROL PROBLEM//OPTIMAL CONTROL

Basic class information

Class id #P Avg. number of
references
Database coverage
of references
5836 1570 22.6 42%



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
3169 2             OPTIMAL CONTROL//STATE CONSTRAINTS//OPTIMAL CONTROL PROBLEM 2169
5836 1                   STATE CONSTRAINTS//OPTIMAL CONTROL PROBLEM//OPTIMAL CONTROL 1570

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 STATE CONSTRAINTS authKW 939965 9% 36% 135
2 OPTIMAL CONTROL PROBLEM authKW 770513 8% 31% 127
3 OPTIMAL CONTROL authKW 665737 32% 7% 501
4 CONTROL CONSTRAINTS authKW 607498 4% 55% 57
5 ETSI IND TELECOMUNICAC address 595573 2% 88% 35
6 POINTWISE STATE CONSTRAINTS authKW 567209 2% 83% 35
7 A PRIORI ERROR ESTIMATES authKW 322006 4% 25% 66
8 SECOND ORDER SUFFICIENT CONDITIONS authKW 267997 1% 66% 21
9 MIXED CONTROL STATE CONSTRAINTS authKW 255463 1% 77% 17
10 SIAM JOURNAL ON CONTROL AND OPTIMIZATION journal 244677 14% 6% 214

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 Mathematics, Applied 58997 76% 0% 1192
2 Automation & Control Systems 13937 20% 0% 309
3 Operations Research & Management Science 5957 14% 0% 224
4 Mathematics 3818 22% 0% 350
5 Computer Science, Cybernetics 1804 3% 0% 51
6 Mechanics 317 6% 0% 93
7 Mathematics, Interdisciplinary Applications 195 3% 0% 47
8 Engineering, General 110 3% 0% 40
9 Computer Science, Software Engineering 76 2% 0% 33
10 COMPUTER APPLICATIONS & CYBERNETICS 61 0% 0% 3

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 ETSI IND TELECOMUNICAC 595573 2% 88% 35
2 KBS 210019 1% 60% 18
3 NONLINEAR SCI SYST STRUCT 181501 1% 67% 14
4 MATEMAT LICADA CIENCIAS COMPUTAC 143166 2% 27% 27
5 LEHRSTUHL MATH OPTIMIERUNG 103715 1% 67% 8
6 MATEMAT LICADA CIENCIAS COMP 97228 1% 50% 10
7 UMR CNRS MIP 95289 0% 70% 7
8 BEREICH OPTIMIERUNG PROXIMAT 77790 0% 100% 4
9 MATH BAUINFORMAT 74786 1% 38% 10
10 HUNAN COMPUTAT SIMULAT SCI ENGN 71533 2% 13% 28

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 244677 14% 6% 214
2 COMPUTATIONAL OPTIMIZATION AND APPLICATIONS 80263 5% 6% 73
3 APPLIED MATHEMATICS AND OPTIMIZATION 56509 4% 5% 57
4 CONTROL AND CYBERNETICS 56458 3% 7% 43
5 NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION 32540 4% 3% 56
6 ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS 30243 2% 4% 35
7 NUMERICAL MATHEMATICS-THEORY METHODS AND APPLICATIONS 14980 1% 6% 14
8 SIAM JOURNAL ON OPTIMIZATION 13994 2% 2% 36
9 JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS 10715 3% 1% 53
10 OPTIMIZATION METHODS & SOFTWARE 8604 1% 2% 21

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 STATE CONSTRAINTS 939965 9% 36% 135 Search STATE+CONSTRAINTS Search STATE+CONSTRAINTS
2 OPTIMAL CONTROL PROBLEM 770513 8% 31% 127 Search OPTIMAL+CONTROL+PROBLEM Search OPTIMAL+CONTROL+PROBLEM
3 OPTIMAL CONTROL 665737 32% 7% 501 Search OPTIMAL+CONTROL Search OPTIMAL+CONTROL
4 CONTROL CONSTRAINTS 607498 4% 55% 57 Search CONTROL+CONSTRAINTS Search CONTROL+CONSTRAINTS
5 POINTWISE STATE CONSTRAINTS 567209 2% 83% 35 Search POINTWISE+STATE+CONSTRAINTS Search POINTWISE+STATE+CONSTRAINTS
6 A PRIORI ERROR ESTIMATES 322006 4% 25% 66 Search A+PRIORI+ERROR+ESTIMATES Search A+PRIORI+ERROR+ESTIMATES
7 SECOND ORDER SUFFICIENT CONDITIONS 267997 1% 66% 21 Search SECOND+ORDER+SUFFICIENT+CONDITIONS Search SECOND+ORDER+SUFFICIENT+CONDITIONS
8 MIXED CONTROL STATE CONSTRAINTS 255463 1% 77% 17 Search MIXED+CONTROL+STATE+CONSTRAINTS Search MIXED+CONTROL+STATE+CONSTRAINTS
9 VARIATIONAL DISCRETIZATION 216450 1% 70% 16 Search VARIATIONAL+DISCRETIZATION Search VARIATIONAL+DISCRETIZATION
10 LINEAR QUADRATIC OPTIMAL CONTROL PROBLEMS 205410 1% 81% 13 Search LINEAR+QUADRATIC+OPTIMAL+CONTROL+PROBLEMS Search LINEAR+QUADRATIC+OPTIMAL+CONTROL+PROBLEMS

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 HUANG, FL , CHEN, YP , SHI, XL , (2016) EQUIVALENT A POSTERIORI ERROR ESTIMATOR OF SPECTRAL APPROXIMATION FOR CONTROL PROBLEMS WITH INTEGRAL CONTROL-STATE CONSTRAINTS IN ONE DIMENSION.ADVANCES IN APPLIED MATHEMATICS AND MECHANICS. VOL. 8. ISSUE 3. P. 464 -484 28 97% 0
2 CHEN, YP , HUANG, FL , (2016) GALERKIN SPECTRAL APPROXIMATION OF ELLIPTIC OPTIMAL CONTROL PROBLEMS WITH H-1-NORM STATE CONSTRAINT.JOURNAL OF SCIENTIFIC COMPUTING. VOL. 67. ISSUE 1. P. 65 -83 27 100% 0
3 HUANG, FL , CHEN, YP , (2014) ERROR ESTIMATES FOR SPECTRAL APPROXIMATION OF ELLIPTIC CONTROL PROBLEMS WITH INTEGRAL STATE AND CONTROL CONSTRAINTS.COMPUTERS & MATHEMATICS WITH APPLICATIONS. VOL. 68. ISSUE 8. P. 789 -803 27 100% 0
4 YUCEL, H , BENNER, P , (2015) ADAPTIVE DISCONTINUOUS GALERKIN METHODS FOR STATE CONSTRAINED OPTIMAL CONTROL PROBLEMS GOVERNED BY CONVECTION DIFFUSION EQUATIONS.COMPUTATIONAL OPTIMIZATION AND APPLICATIONS. VOL. 62. ISSUE 1. P. 291 -321 31 84% 0
5 CHRYSAFINOS, K , (2013) CONVERGENCE OF DISCONTINUOUS TIME-STEPPING SCHEMES FOR A ROBIN BOUNDARY CONTROL PROBLEM UNDER MINIMAL REGULARITY ASSUMPTIONS.INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING. VOL. 10. ISSUE 3. P. 673 -696 29 91% 0
6 SEYDENSCHWANZ, M , (2015) CONVERGENCE RESULTS FOR THE DISCRETE REGULARIZATION OF LINEAR-QUADRATIC CONTROL PROBLEMS WITH BANG-BANG SOLUTIONS.COMPUTATIONAL OPTIMIZATION AND APPLICATIONS. VOL. 61. ISSUE 3. P. 731 -760 26 93% 1
7 GONG, W , HINZE, M , ZHOU, ZJ , (2016) FINITE ELEMENT METHOD AND A PRIORI ERROR ESTIMATES FOR DIRICHLET BOUNDARY CONTROL PROBLEMS GOVERNED BY PARABOLIC PDES.JOURNAL OF SCIENTIFIC COMPUTING. VOL. 66. ISSUE 3. P. 941 -967 24 96% 0
8 NEITZEL, I , PFEFFERER, J , ROSCH, A , (2015) FINITE ELEMENT DISCRETIZATION OF STATE-CONSTRAINED ELLIPTIC OPTIMAL CONTROL PROBLEMS WITH SEMILINEAR STATE EQUATION.SIAM JOURNAL ON CONTROL AND OPTIMIZATION. VOL. 53. ISSUE 2. P. 874 -904 24 92% 1
9 ALT, W , SCHNEIDER, C , SEYDENSCHWANZ, M , (2016) REGULARIZATION AND IMPLICIT EULER DISCRETIZATION OF LINEAR-QUADRATIC OPTIMAL CONTROL PROBLEMS WITH BANG-BANG SOLUTIONS.APPLIED MATHEMATICS AND COMPUTATION. VOL. 287. ISSUE . P. 104 -124 24 89% 0
10 KRUMBIEGEL, K , NEITZEL, I , ROSCH, A , (2012) REGULARIZATION FOR SEMILINEAR ELLIPTIC OPTIMAL CONTROL PROBLEMS WITH POINTWISE STATE AND CONTROL CONSTRAINTS.COMPUTATIONAL OPTIMIZATION AND APPLICATIONS. VOL. 52. ISSUE 1. P. 181 -207 25 93% 0

Classes with closest relation at Level 1



Rank Class id link
1 30975 HIERARCHIC CONTROL//STACKELBERG NASH STRATEGIES//LOW REGRET CONTROL
2 30597 FREE SPANNING SUBMARINE PIPELINES//GENERALIZED NAGHDI MODEL//MATH MODELLING TECHNOL PROC
3 25711 MULTIGRID AND MULTILEVEL METHODS//WEIGHTED MAX NORM//GENERALIZED SCHWARZ ALGORITHMS
4 29847 RADIOSITY EQUATION//SPN APPROXIMATION//SIMPLIFIED P N APPROXIMATIONS
5 19397 NORMAL NECESSARY CONDITIONS//DISCRETE APPROXIMATIONS//MIXED CONSTRAINTS
6 20968 TIME SCALING TRANSFORMATION//SAKAWA SHINDO METHOD//CONTAMINANT SIMULATION
7 36216 MELENTIEV ENERGY SYST//MELENTEV POWER ENGN SYST//POWER ENGN SYST
8 6366 A POSTERIORI ERROR ESTIMATES//NONCONFORMING FINITE ELEMENT//A POSTERIORI ERROR ESTIMATOR
9 26009 REGULAR SYNTHESIS//SINGULAR CHARACTERISTICS//FOLD AND SIMPLE CUSP SINGULARITIES
10 22112 RESOLVENT CONDITION//KREISS MATRIX THEOREM//MAXIMUM NORM

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