Class information for:
Level 1: SET OF TRAJECTORIES//ATTRACTION SET//INTEGRAL CONSTRAINT

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
26505 253 15.8 21%


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
26505 1                   SET OF TRAJECTORIES//ATTRACTION SET//INTEGRAL CONSTRAINT 253

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 SET OF TRAJECTORIES authKW 724158 2% 100% 6
2 ATTRACTION SET authKW 603465 2% 100% 5
3 INTEGRAL CONSTRAINT authKW 584142 4% 44% 11
4 CONVEX PROCESS authKW 281608 3% 33% 7
5 PAINLEVE KURATOWSKI LIMITS authKW 271558 1% 75% 3
6 UNIFORM REGULAR FUNCTION authKW 241386 1% 100% 2
7 ATTAINABLE SET authKW 219025 3% 26% 7
8 REACHABLE SET authKW 162001 6% 10% 14
9 CONVEX EXTENSION authKW 160923 1% 67% 2
10 FILTER BASE authKW 160923 1% 67% 2

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 3623 47% 0% 120
2 Mathematics 2634 44% 0% 112
3 Automation & Control Systems 2265 20% 0% 50
4 Operations Research & Management Science 653 12% 0% 30
5 COMPUTER APPLICATIONS & CYBERNETICS 410 1% 0% 3
6 Multidisciplinary Sciences 290 6% 0% 15
7 Instruments & Instrumentation 79 6% 0% 16
8 Computer Science, Cybernetics 35 1% 0% 3
9 Engineering, Aerospace 10 1% 0% 3
10 Computer Science, Theory & Methods 9 2% 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 MECH URAL 120693 0% 100% 1
2 RADIOELECT INFORMAT TECHNOL 66582 2% 14% 4
3 URAL SCI MATH MECH 60345 0% 50% 1
4 MCLEOD SIMULAT SCI 40230 0% 33% 1
5 MATH MECH 30826 12% 1% 30
6 MATH SCI PROGRAMME 24137 0% 20% 1
7 MATEMAT SI INFORMAT 15085 0% 13% 1
8 AGR S 10268 1% 4% 2
9 URAL BRANCH 6387 8% 0% 19
10 MATH OCTAV MAYER 5745 0% 5% 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 DIFFERENTIAL EQUATIONS 11665 8% 1% 19
2 PROCEEDINGS OF THE STEKLOV INSTITUTE OF MATHEMATICS 11541 4% 1% 10
3 JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS 9522 8% 0% 20
4 SET-VALUED ANALYSIS 9246 2% 2% 5
5 PROBLEMS OF CONTROL AND INFORMATION THEORY-PROBLEMY UPRAVLENIYA I TEORII INFORMATSII 6658 1% 2% 3
6 VESTNIK LENINGRADSKOGO UNIVERSITETA SERIYA MATEMATIKA MEKHANIKA ASTRONOMIYA 6324 2% 1% 4
7 AUTOMATION AND REMOTE CONTROL 3880 4% 0% 11
8 DOKLADY MATHEMATICS 3184 4% 0% 9
9 DYNAMICS AND CONTROL 3032 1% 1% 2
10 JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 2513 8% 0% 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 SET OF TRAJECTORIES 724158 2% 100% 6 Search SET+OF+TRAJECTORIES Search SET+OF+TRAJECTORIES
2 ATTRACTION SET 603465 2% 100% 5 Search ATTRACTION+SET Search ATTRACTION+SET
3 INTEGRAL CONSTRAINT 584142 4% 44% 11 Search INTEGRAL+CONSTRAINT Search INTEGRAL+CONSTRAINT
4 CONVEX PROCESS 281608 3% 33% 7 Search CONVEX+PROCESS Search CONVEX+PROCESS
5 PAINLEVE KURATOWSKI LIMITS 271558 1% 75% 3 Search PAINLEVE+KURATOWSKI+LIMITS Search PAINLEVE+KURATOWSKI+LIMITS
6 UNIFORM REGULAR FUNCTION 241386 1% 100% 2 Search UNIFORM+REGULAR+FUNCTION Search UNIFORM+REGULAR+FUNCTION
7 ATTAINABLE SET 219025 3% 26% 7 Search ATTAINABLE+SET Search ATTAINABLE+SET
8 REACHABLE SET 162001 6% 10% 14 Search REACHABLE+SET Search REACHABLE+SET
9 CONVEX EXTENSION 160923 1% 67% 2 Search CONVEX+EXTENSION Search CONVEX+EXTENSION
10 FILTER BASE 160923 1% 67% 2 Search FILTER+BASE Search FILTER+BASE

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 FISHER, ME , VINCENT, TL , SUMMERS, D , (1995) UNDER-ESTIMATES OF REACHABLE SETS FOR LINEAR-CONTROL SYSTEMS.DYNAMICS AND CONTROL. VOL. 5. ISSUE 3. P. 241-251 12 92% 1
2 GUSEINOV, KG , (2009) APPROXIMATION OF THE ATTAINABLE SETS OF THE NONLINEAR CONTROL SYSTEMS WITH INTEGRAL CONSTRAINT ON CONTROLS.NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS. VOL. 71. ISSUE 1-2. P. 622-645 9 69% 4
3 CHENTSOV, AG , BAKLANOV, AP , (2015) ON THE QUESTION OF CONSTRUCTION OF AN ATTRACTION SET UNDER CONSTRAINTS OF ASYMPTOTIC NATURE.PROCEEDINGS OF THE STEKLOV INSTITUTE OF MATHEMATICS. VOL. 291. ISSUE . P. S40 -S55 5 100% 0
4 HUSEYIN, A , HUSEYIN, N , GUSEINOV, KG , (2015) APPROXIMATION OF THE SECTIONS OF THE SET OF TRAJECTORIES OF THE CONTROL SYSTEM DESCRIBED BY A NONLINEAR VOLTERRA INTEGRAL EQUATION.MATHEMATICAL MODELLING AND ANALYSIS. VOL. 20. ISSUE 4. P. 502 -515 7 70% 0
5 GAJARDO, P , SEEGER, A , (2006) HIGHER-ORDER SPECTRAL ANALYSIS AND WEAK ASYMPTOTIC STABILITY OF CONVEX PROCESSES.JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. VOL. 318. ISSUE 1. P. 155-174 6 86% 2
6 CHENTSOV, AG , PYTKEEV, EG , (2016) SOME TOPOLOGICAL STRUCTURES OF EXTENSIONS OF ABSTRACT REACHABILITY PROBLEMS.PROCEEDINGS OF THE STEKLOV INSTITUTE OF MATHEMATICS. VOL. 292. ISSUE . P. S36 -S54 4 100% 0
7 GUSEINOV, KG , NAZLIPINAR, AS , (2011) AN ALGORITHM FOR APPROXIMATE CALCULATION OF THE ATTAINABLE SETS OF THE NONLINEAR CONTROL SYSTEMS WITH INTEGRAL CONSTRAINT ON CONTROLS.COMPUTERS & MATHEMATICS WITH APPLICATIONS. VOL. 62. ISSUE 4. P. 1887-1895 7 64% 1
8 CHENTSOV, AG , BAKLANOV, AP , (2015) ON AN ASYMPTOTIC ANALYSIS PROBLEM RELATED TO THE CONSTRUCTION OF AN ATTAINABILITY DOMAIN.PROCEEDINGS OF THE STEKLOV INSTITUTE OF MATHEMATICS. VOL. 291. ISSUE 1. P. 279 -298 4 100% 0
9 HUSEYIN, A , HUSEYIN, N , (2014) DEPENDENCE ON THE PARAMETERS OF THE SET OF TRAJECTORIES OF THE CONTROL SYSTEM DESCRIBED BY A NONLINEAR VOLTERRA INTEGRAL EQUATION.APPLICATIONS OF MATHEMATICS. VOL. 59. ISSUE 3. P. 303 -317 4 100% 0
10 CHENTSOV, AG , (2014) ON THE QUESTION OF REPRESENTATION OF ULTRAFILTERS AND THEIR APPLICATION IN EXTENSION CONSTRUCTIONS.PROCEEDINGS OF THE STEKLOV INSTITUTE OF MATHEMATICS. VOL. 287. ISSUE . P. S29 -S48 4 100% 0

Classes with closest relation at Level 1


Rank Class id link
1 19397 NORMAL NECESSARY CONDITIONS//DISCRETE APPROXIMATIONS//MIXED CONSTRAINTS
2 5572 HAMILTON JACOBI EQUATION//VISCOSITY SOLUTIONS//VISCOSITY SOLUTION
3 20476 OCCUPATIONAL MEASURES//CONTROL SETS//DIFFERENTIAL INCLUSIONS
4 26009 REGULAR SYNTHESIS//SINGULAR CHARACTERISTICS//FOLD AND SIMPLE CUSP SINGULARITIES
5 30971 METHOD OF AUXILIARY MODELS//RECONSTRUCTION OF DISTURBANCES//INPUT IDENTIFICATION
6 14605 SWEEPING PROCESS//DIFFERENTIAL INCLUSIONS//CONTINUOUS SELECTOR
7 9201 ANTI WINDUP//ACTUATOR SATURATION//INPUT SATURATION
8 11986 HYBRID SYSTEMS//APPROXIMATE BISIMULATION//SAFETY VERIFICATION
9 34457 VIABILITY THEORY//CE P//DEMAND FOR CLIMATE PROTECTION
10 33066 REGIONAL OBSERVABILITY//A S UFR//MACS GRP

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