Class information for:
Level 2: OPTIMAL CONTROL//STATE CONSTRAINTS//OPTIMAL CONTROL PROBLEM

Basic class information

Class id #P Avg. number of
references
Database coverage
of references
3169 2169 21.4 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
3169 2             OPTIMAL CONTROL//STATE CONSTRAINTS//OPTIMAL CONTROL PROBLEM 2169
5836 1                   STATE CONSTRAINTS//OPTIMAL CONTROL PROBLEM//OPTIMAL CONTROL 1570
20968 1                   TIME SCALING TRANSFORMATION//SAKAWA SHINDO METHOD//CONTAMINANT SIMULATION 439
30975 1                   HIERARCHIC CONTROL//STACKELBERG NASH STRATEGIES//LOW REGRET CONTROL 160

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 OPTIMAL CONTROL authKW 747421 29% 9% 624
2 STATE CONSTRAINTS authKW 721225 6% 37% 139
3 OPTIMAL CONTROL PROBLEM authKW 620837 6% 33% 134
4 POINTWISE STATE CONSTRAINTS authKW 483949 2% 90% 38
5 CONTROL CONSTRAINTS authKW 455263 3% 56% 58
6 ETSI IND TELECOMUNICAC address 431078 2% 88% 35
7 A PRIORI ERROR ESTIMATES authKW 233043 3% 25% 66
8 SIAM JOURNAL ON CONTROL AND OPTIMIZATION journal 195674 10% 6% 225
9 SECOND ORDER SUFFICIENT CONDITIONS authKW 193975 1% 66% 21
10 MIXED CONTROL STATE CONSTRAINTS authKW 184904 1% 77% 17

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 63652 67% 0% 1459
2 Automation & Control Systems 17906 19% 0% 412
3 Operations Research & Management Science 10678 16% 0% 351
4 Mathematics 3599 19% 0% 406
5 Computer Science, Cybernetics 1852 3% 0% 61
6 Mathematics, Interdisciplinary Applications 748 5% 0% 101
7 Engineering, Petroleum 619 2% 0% 39
8 Engineering, General 498 4% 0% 90
9 Mechanics 494 6% 0% 135
10 COMPUTER APPLICATIONS & CYBERNETICS 182 0% 0% 6

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 431078 2% 88% 35
2 KBS 152010 1% 60% 18
3 NONLINEAR SCI SYST STRUCT 131369 1% 67% 14
4 MATEMAT LICADA CIENCIAS COMPUTAC 103613 1% 27% 27
5 LEHRSTUHL MATH OPTIMIERUNG 75068 0% 67% 8
6 MATEMAT LICADA CIENCIAS COMP 70371 0% 50% 10
7 UMR CNRS MIP 68970 0% 70% 7
8 BEREICH OPTIMIERUNG PROXIMAT 56305 0% 100% 4
9 MATH BAUINFORMAT 54127 0% 38% 10
10 HUNAN COMPUTAT SIMULAT SCI ENGN 51763 1% 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 195674 10% 6% 225
2 COMPUTATIONAL OPTIMIZATION AND APPLICATIONS 61286 3% 6% 75
3 CONTROL AND CYBERNETICS 50905 2% 8% 48
4 APPLIED MATHEMATICS AND OPTIMIZATION 46818 3% 5% 61
5 NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION 35744 3% 4% 69
6 JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS 32307 5% 2% 108
7 ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS 25788 2% 5% 38
8 NUMERICAL MATHEMATICS-THEORY METHODS AND APPLICATIONS 12441 1% 6% 15
9 JOURNAL OF INDUSTRIAL AND MANAGEMENT OPTIMIZATION 10750 1% 3% 24
10 SIAM JOURNAL ON OPTIMIZATION 10681 2% 2% 37

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 OPTIMAL CONTROL 747421 29% 9% 624 Search OPTIMAL+CONTROL Search OPTIMAL+CONTROL
2 STATE CONSTRAINTS 721225 6% 37% 139 Search STATE+CONSTRAINTS Search STATE+CONSTRAINTS
3 OPTIMAL CONTROL PROBLEM 620837 6% 33% 134 Search OPTIMAL+CONTROL+PROBLEM Search OPTIMAL+CONTROL+PROBLEM
4 POINTWISE STATE CONSTRAINTS 483949 2% 90% 38 Search POINTWISE+STATE+CONSTRAINTS Search POINTWISE+STATE+CONSTRAINTS
5 CONTROL CONSTRAINTS 455263 3% 56% 58 Search CONTROL+CONSTRAINTS Search CONTROL+CONSTRAINTS
6 A PRIORI ERROR ESTIMATES 233043 3% 25% 66 Search A+PRIORI+ERROR+ESTIMATES Search A+PRIORI+ERROR+ESTIMATES
7 SECOND ORDER SUFFICIENT CONDITIONS 193975 1% 66% 21 Search SECOND+ORDER+SUFFICIENT+CONDITIONS Search SECOND+ORDER+SUFFICIENT+CONDITIONS
8 MIXED CONTROL STATE CONSTRAINTS 184904 1% 77% 17 Search MIXED+CONTROL+STATE+CONSTRAINTS Search MIXED+CONTROL+STATE+CONSTRAINTS
9 VARIATIONAL DISCRETIZATION 156666 1% 70% 16 Search VARIATIONAL+DISCRETIZATION Search VARIATIONAL+DISCRETIZATION
10 SEMISMOOTH NEWTON METHOD 152873 2% 28% 39 Search SEMISMOOTH+NEWTON+METHOD Search SEMISMOOTH+NEWTON+METHOD

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 LIN, Q , LOXTON, R , TEO, KL , (2014) THE CONTROL PARAMETERIZATION METHOD FOR NONLINEAR OPTIMAL CONTROL: A SURVEY.JOURNAL OF INDUSTRIAL AND MANAGEMENT OPTIMIZATION. VOL. 10. ISSUE 1. P. 275 -309 48 79% 30
2 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
3 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
4 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
5 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
6 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
7 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
8 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
9 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
10 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

Classes with closest relation at Level 2



Rank Class id link
1 2139 DISTRIBUTED PARAMETER SYSTEMS//CARLEMAN ESTIMATES//NULL CONTROLLABILITY
2 3319 PROPER ORTHOGONAL DECOMPOSITION//REDUCED BASIS METHOD//REDUCED ORDER MODEL
3 2434 HAMILTON JACOBI EQUATION//MEAN FIELD GAMES//VISCOSITY SOLUTIONS
4 458 DISCONTINUOUS GALERKIN METHOD//COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING//SUPERCONVERGENCE
5 4124 P REGULARITY//ABNORMAL POINT//P FACTOR OPERATOR
6 114 MATHEMATICS, APPLIED//JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS//GLOBAL CONVERGENCE
7 1985 ILL POSED PROBLEM//INVERSE HEAT CONDUCTION PROBLEM//DISCREPANCY PRINCIPLE
8 2554 NORMAL COMPLIANCE//HEMIVARIATIONAL INEQUALITY//FRICTIONAL CONTACT
9 3282 TURNPIKE PROPERTY//INFINITE HORIZON PROBLEMS//GOOD FUNCTION
10 3300 FREE DISCONTINUITY PROBLEMS//RATE INDEPENDENT PROCESSES//QUASISTATIC EVOLUTION

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