Class information for:
Level 1: OCCUPATIONAL MEASURES//CONTROL SETS//DIFFERENTIAL INCLUSIONS

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
20476 458 20.6 31%


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
2434 2             HAMILTON JACOBI EQUATION//MEAN FIELD GAMES//VISCOSITY SOLUTIONS 4110
20476 1                   OCCUPATIONAL MEASURES//CONTROL SETS//DIFFERENTIAL INCLUSIONS 458

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 OCCUPATIONAL MEASURES authKW 1400072 5% 100% 21
2 CONTROL SETS authKW 654563 4% 55% 18
3 DIFFERENTIAL INCLUSIONS authKW 337833 14% 8% 63
4 APPROXIMATION OF SLOW MOTIONS authKW 266680 1% 100% 4
5 LIMIT OCCUPATIONAL MEASURES SETS authKW 266680 1% 100% 4
6 LONG RUN AVERAGE OPTIMAL CONTROL authKW 200010 1% 100% 3
7 SET VALUED ESTIMATES authKW 200010 1% 100% 3
8 SET VALUED NUMERICAL ANALYSIS authKW 200010 1% 100% 3
9 VARIATIONAL LIMIT PROBLEM authKW 200010 1% 100% 3
10 VIABILITY CONDITION authKW 200010 1% 100% 3

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 10103 59% 0% 268
2 Automation & Control Systems 6102 24% 0% 110
3 Mathematics 2291 31% 0% 143
4 Computer Science, Cybernetics 778 4% 0% 18
5 Operations Research & Management Science 589 9% 0% 39
6 Computer Science, Theory & Methods 197 6% 0% 29
7 Mathematics, Interdisciplinary Applications 122 4% 0% 19
8 COMPUTER APPLICATIONS & CYBERNETICS 98 0% 0% 2
9 Statistics & Probability 68 3% 0% 16
10 Mechanics 48 5% 0% 21

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 MATH M6 166670 1% 50% 5
2 FLINDERS MATH SCI 133340 0% 100% 2
3 UMR8050 128206 1% 38% 5
4 UNITE CNRS UMR6205 88892 0% 67% 2
5 CHEMOVTSY TRADE ECON 66670 0% 100% 1
6 FRE MATH 66670 0% 100% 1
7 FREU2218 66670 0% 100% 1
8 LAMAUMR 8050CNRS 66670 0% 100% 1
9 LAMPS EA CNRS 4217 66670 0% 100% 1
10 MATH BRETAGNE ATANTIQUE 66670 0% 100% 1

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 43953 11% 1% 49
2 SET-VALUED ANALYSIS 16548 2% 3% 9
3 SET-VALUED AND VARIATIONAL ANALYSIS 9401 1% 2% 6
4 APPLIED MATHEMATICS AND OPTIMIZATION 7207 2% 1% 11
5 JOURNAL OF COMPUTER AND SYSTEMS SCIENCES INTERNATIONAL 6318 2% 1% 10
6 NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION 6006 3% 1% 13
7 DIFFERENTIAL EQUATIONS 5766 4% 0% 18
8 JOURNAL OF DYNAMICAL AND CONTROL SYSTEMS 3884 1% 1% 5
9 CONTROL AND CYBERNETICS 3762 1% 1% 6
10 SYSTEMS & CONTROL LETTERS 3211 3% 0% 14

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 OCCUPATIONAL MEASURES 1400072 5% 100% 21 Search OCCUPATIONAL+MEASURES Search OCCUPATIONAL+MEASURES
2 CONTROL SETS 654563 4% 55% 18 Search CONTROL+SETS Search CONTROL+SETS
3 DIFFERENTIAL INCLUSIONS 337833 14% 8% 63 Search DIFFERENTIAL+INCLUSIONS Search DIFFERENTIAL+INCLUSIONS
4 APPROXIMATION OF SLOW MOTIONS 266680 1% 100% 4 Search APPROXIMATION+OF+SLOW+MOTIONS Search APPROXIMATION+OF+SLOW+MOTIONS
5 LIMIT OCCUPATIONAL MEASURES SETS 266680 1% 100% 4 Search LIMIT+OCCUPATIONAL+MEASURES+SETS Search LIMIT+OCCUPATIONAL+MEASURES+SETS
6 LONG RUN AVERAGE OPTIMAL CONTROL 200010 1% 100% 3 Search LONG+RUN+AVERAGE+OPTIMAL+CONTROL Search LONG+RUN+AVERAGE+OPTIMAL+CONTROL
7 SET VALUED ESTIMATES 200010 1% 100% 3 Search SET+VALUED+ESTIMATES Search SET+VALUED+ESTIMATES
8 SET VALUED NUMERICAL ANALYSIS 200010 1% 100% 3 Search SET+VALUED+NUMERICAL+ANALYSIS Search SET+VALUED+NUMERICAL+ANALYSIS
9 VARIATIONAL LIMIT PROBLEM 200010 1% 100% 3 Search VARIATIONAL+LIMIT+PROBLEM Search VARIATIONAL+LIMIT+PROBLEM
10 VIABILITY CONDITION 200010 1% 100% 3 Search VIABILITY+CONDITION Search VIABILITY+CONDITION

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 GAITSGORY, V , MANIC, L , ROSSOMAKHINE, S , (2015) ON AVERAGE CONTROL GENERATING FAMILIES FOR SINGULARLY PERTURBED OPTIMAL CONTROL PROBLEMS WITH LONG RUN AVERAGE OPTIMALITY CRITERIA.SET-VALUED AND VARIATIONAL ANALYSIS. VOL. 23. ISSUE 1. P. 87 -131 34 87% 0
2 GAMA, R , SMIRNOV, G , (2014) STABILITY AND OPTIMALITY OF SOLUTIONS TO DIFFERENTIAL INCLUSIONS VIA AVERAGING METHOD.SET-VALUED AND VARIATIONAL ANALYSIS. VOL. 22. ISSUE 2. P. 349 -374 36 82% 2
3 GAITSGORY, V , ROSSOMAKHINE, S , (2015) AVERAGING AND LINEAR PROGRAMMING IN SOME SINGULARLY PERTURBED PROBLEMS OF OPTIMAL CONTROL.APPLIED MATHEMATICS AND OPTIMIZATION. VOL. 71. ISSUE 2. P. 195 -276 34 83% 0
4 BORKAR, V , GAITSGORY, V , (2007) AVERAGING OF SINGULARLY PERTURBED CONTROLLED STOCHASTIC DIFFERENTIAL EQUATIONS.APPLIED MATHEMATICS AND OPTIMIZATION. VOL. 56. ISSUE 2. P. 169-209 27 77% 16
5 DONCHEV, T , (2010) SINGULARLY PERTURBED EVOLUTION INCLUSIONS.SIAM JOURNAL ON CONTROL AND OPTIMIZATION. VOL. 48. ISSUE 7. P. 4572 -4590 20 87% 3
6 BORKAR, V , GAITSGORY, V , (2005) ON EXISTENCE OF LIMIT OCCUPATIONAL MEASURES SET OF A CONTROLLED STOCHASTIC DIFFERENTIAL EQUATION.SIAM JOURNAL ON CONTROL AND OPTIMIZATION. VOL. 44. ISSUE 4. P. 1436-1473 22 76% 11
7 GAITSGORY, V , (2004) ON A REPRESENTATION OF THE LIMIT OCCUPATIONAL MEASURES SET OF A CONTROL SYSTEM WITH APPLICATIONS TO SINGULARLY PERTURBED CONTROL SYSTEMS.SIAM JOURNAL ON CONTROL AND OPTIMIZATION. VOL. 43. ISSUE 1. P. 325 -340 20 80% 32
8 GOREAC, D , SEREA, OS , (2016) OPTIMALITY ISSUES FOR A CLASS OF CONTROLLED SINGULARLY PERTURBED STOCHASTIC SYSTEMS.JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS. VOL. 168. ISSUE 1. P. 22 -52 16 76% 0
9 ARTSTEIN, Z , (2009) PONTRYAGIN MAXIMUM PRINCIPLE FOR COUPLED SLOW AND FAST SYSTEMS.CONTROL AND CYBERNETICS. VOL. 38. ISSUE 4. P. 1003-1019 16 89% 1
10 SEREA, OS , (2013) CHARACTERIZATION OF THE OPTIMAL TRAJECTORIES FOR THE AVERAGED DYNAMICS ASSOCIATED TO SINGULARLY PERTURBED CONTROL SYSTEMS.JOURNAL OF DIFFERENTIAL EQUATIONS. VOL. 255. ISSUE 11. P. 4226-4243 15 83% 1

Classes with closest relation at Level 1


Rank Class id link
1 26505 SET OF TRAJECTORIES//ATTRACTION SET//INTEGRAL CONSTRAINT
2 19397 NORMAL NECESSARY CONDITIONS//DISCRETE APPROXIMATIONS//MIXED CONSTRAINTS
3 5572 HAMILTON JACOBI EQUATION//VISCOSITY SOLUTIONS//VISCOSITY SOLUTION
4 25038 ALMOST EVERYWHERE STABILITY//DOMAIN OF ATTRACTION//BORGS CRITERION
5 11596 SINGULARLY PERTURBED SYSTEMS//SINGULAR PERTURBATION//DISCRETE TIME SINGULARLY PERTURBED SYSTEMS
6 27905 QUASIDIFFERENTIAL CALCULUS//EXHAUSTERS//QUASIDIFFERENTIAL
7 30733 ADJOINT FLOQUET SOLUTIONS//STABILITY IN NONLINEAR APPROXIMATION//PERIODIC PERTURBATIONS
8 30971 METHOD OF AUXILIARY MODELS//RECONSTRUCTION OF DISTURBANCES//INPUT IDENTIFICATION
9 32437 AILAMAZYAN PROGRAM SYST//JOURNAL OF COMPUTER AND SYSTEMS SCIENCES INTERNATIONAL//ANAL FORECASTING NAT TECHNOL RISKS ECON D
10 34457 VIABILITY THEORY//CE P//DEMAND FOR CLIMATE PROTECTION

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