Class information for:
Level 1: REGULAR SYNTHESIS//SINGULAR CHARACTERISTICS//FOLD AND SIMPLE CUSP SINGULARITIES

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
26009 265 16.8 26%


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
9 4 COMPUTER SCIENCE, THEORY & METHODS//COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE//COMPUTER SCIENCE, INFORMATION SYSTEMS 1247339
74 3       AUTOMATION & CONTROL SYSTEMS//IEEE TRANSACTIONS ON AUTOMATIC CONTROL//AUTOMATICA 82579
2787 2             BIFURCATION CONTROL//NORMAL FORM//UNIT IND AUTOMAT 3108
26009 1                   REGULAR SYNTHESIS//SINGULAR CHARACTERISTICS//FOLD AND SIMPLE CUSP SINGULARITIES 265

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 REGULAR SYNTHESIS authKW 518521 2% 75% 6
2 SINGULAR CHARACTERISTICS authKW 460910 2% 100% 4
3 FOLD AND SIMPLE CUSP SINGULARITIES authKW 345683 1% 100% 3
4 HIGH ORDER CONTROL VARIATIONS authKW 345683 1% 100% 3
5 CARTAN KILLING FORM authKW 230455 1% 100% 2
6 HIGH ORDER VARIATIONS authKW 230455 1% 100% 2
7 LOCAL CONTROLLABILITY AT A POINT authKW 230455 1% 100% 2
8 REAL PROJECTIVE LINE authKW 230455 1% 100% 2
9 SINGULAR PATHS authKW 230455 1% 100% 2
10 SMALL TIME LOCAL ATTAINABILITY OF A SET authKW 230455 1% 100% 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 Automation & Control Systems 10901 42% 0% 111
2 Mathematics, Applied 4068 49% 0% 130
3 Mathematics 1138 29% 0% 77
4 Operations Research & Management Science 1072 15% 0% 39
5 Computer Science, Cybernetics 262 3% 0% 8
6 COMPUTER APPLICATIONS & CYBERNETICS 172 1% 0% 2
7 Computer Science, Information Systems 74 5% 0% 13
8 Computer Science, Theory & Methods 42 4% 0% 11
9 Mechanics 27 5% 0% 12
10 Mathematics, Interdisciplinary Applications 24 3% 0% 7

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 INGEGNERIA IST MATEMATICA PL 115228 0% 100% 1
2 INRIA BIOCORE TEAM 115228 0% 100% 1
3 TOPOL UFR SCI TECH 115228 0% 100% 1
4 MATH ANAL PL OPTIMISAT 65841 1% 29% 2
5 UMR 7502 UHP 38408 0% 33% 1
6 ANEDP 28805 0% 25% 1
7 MATEMAT ESTATIST CIENCIAS COMP 28805 0% 25% 1
8 MATH UMR 8628 16459 0% 14% 1
9 ANAL PL OPTIMISAT 12801 0% 11% 1
10 PROGRAM SYST 12707 2% 3% 4

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 53220 15% 1% 41
2 JOURNAL OF DYNAMICAL AND CONTROL SYSTEMS 13178 3% 2% 7
3 SYSTEMS & CONTROL LETTERS 9217 7% 0% 18
4 MATHEMATICAL SYSTEMS THEORY 8964 2% 2% 5
5 DIFFERENTIAL EQUATIONS 6934 6% 0% 15
6 DYNAMICS AND CONTROL 6516 1% 2% 3
7 LECTURE NOTES IN CONTROL AND INFORMATION SCIENCES 6268 5% 0% 12
8 JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS 5811 6% 0% 16
9 REVUE ROUMAINE DE MATHEMATIQUES PURES ET APPLIQUEES 4795 1% 1% 3
10 MATEMATICA APLICADA E COMPUTACIONAL 3312 1% 1% 2

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 REGULAR SYNTHESIS 518521 2% 75% 6 Search REGULAR+SYNTHESIS Search REGULAR+SYNTHESIS
2 SINGULAR CHARACTERISTICS 460910 2% 100% 4 Search SINGULAR+CHARACTERISTICS Search SINGULAR+CHARACTERISTICS
3 FOLD AND SIMPLE CUSP SINGULARITIES 345683 1% 100% 3 Search FOLD+AND+SIMPLE+CUSP+SINGULARITIES Search FOLD+AND+SIMPLE+CUSP+SINGULARITIES
4 HIGH ORDER CONTROL VARIATIONS 345683 1% 100% 3 Search HIGH+ORDER+CONTROL+VARIATIONS Search HIGH+ORDER+CONTROL+VARIATIONS
5 CARTAN KILLING FORM 230455 1% 100% 2 Search CARTAN+KILLING+FORM Search CARTAN+KILLING+FORM
6 HIGH ORDER VARIATIONS 230455 1% 100% 2 Search HIGH+ORDER+VARIATIONS Search HIGH+ORDER+VARIATIONS
7 LOCAL CONTROLLABILITY AT A POINT 230455 1% 100% 2 Search LOCAL+CONTROLLABILITY+AT+A+POINT Search LOCAL+CONTROLLABILITY+AT+A+POINT
8 REAL PROJECTIVE LINE 230455 1% 100% 2 Search REAL+PROJECTIVE+LINE Search REAL+PROJECTIVE+LINE
9 SINGULAR PATHS 230455 1% 100% 2 Search SINGULAR+PATHS Search SINGULAR+PATHS
10 SMALL TIME LOCAL ATTAINABILITY OF A SET 230455 1% 100% 2 Search SMALL+TIME+LOCAL+ATTAINABILITY+OF+A+SET Search SMALL+TIME+LOCAL+ATTAINABILITY+OF+A+SET

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 KRASTANOV, MI , (2012) ON THE SMALL-TIME LOCAL CONTROLLABILITY.JOURNAL OF CONVEX ANALYSIS. VOL. 19. ISSUE 4. P. 1073-1090 15 94% 0
2 KRASTANOV, MI , (2009) A SUFFICIENT CONDITION FOR SMALL-TIME LOCAL CONTROLLABILITY.SIAM JOURNAL ON CONTROL AND OPTIMIZATION. VOL. 48. ISSUE 4. P. 2296 -2322 14 93% 0
3 KRASTANOV, MI , (2009) HIGH-ORDER VARIATIONS AND SMALL-TIME LOCAL ATTAINABILITY.CONTROL AND CYBERNETICS. VOL. 38. ISSUE 4. P. 1411-1427 15 75% 2
4 BOSCAIN, U , CHITOUR, Y , (2005) TIME-OPTIMAL SYNTHESIS FOR LEFT-INVARIANT CONTROL SYSTEMS ON SO(3).SIAM JOURNAL ON CONTROL AND OPTIMIZATION. VOL. 44. ISSUE 1. P. 111-139 10 83% 19
5 BOSCAIN, U , PICCOLI, B , (2002) ON AUTOMATON RECOGNIZABILITY OF ABNORMAL EXTREMALS.SIAM JOURNAL ON CONTROL AND OPTIMIZATION. VOL. 40. ISSUE 5. P. 1333-1357 10 91% 3
6 SALEHANI, MK , MARKINA, I , (2014) CONTROLLABILITY ON INFINITE-DIMENSIONAL MANIFOLDS: A CHOW-RASHEVSKY THEOREM.ACTA APPLICANDAE MATHEMATICAE. VOL. 134. ISSUE 1. P. 229 -246 10 63% 1
7 KRASTANOV, MI , QUINCAMPOIX, M , (2013) ON THE SMALL-TIME CONTROLLABILITY OF DISCONTINUOUS PIECE-WISE LINEAR SYSTEMS.SYSTEMS & CONTROL LETTERS. VOL. 62. ISSUE 2. P. 218 -223 8 80% 1
8 SALMONI, R , BOSCAIN, U , CHITOUR, Y , MASON, P , (2008) LIMIT TIME OPTIMAL SYNTHESIS FOR A CONTROL-AFFINE SYSTEM ON S-2.SIAM JOURNAL ON CONTROL AND OPTIMIZATION. VOL. 47. ISSUE 1. P. 111 -143 8 89% 2
9 KRASTANOV, MI , (2002) A SUFFICIENT CONDITION FOR SMALL-TIME LOCAL ATTAINABILITY OF A SET.CONTROL AND CYBERNETICS. VOL. 31. ISSUE 3. P. 739-750 10 83% 2
10 BONNARD, B , FAUBOURG, L , LAUNAY, G , TRELAT, E , (2003) OPTIMAL CONTROL WITH STATE CONSTRAINTS AND THE SPACE SHUTTLE RE-ENTRY PROBLEM.JOURNAL OF DYNAMICAL AND CONTROL SYSTEMS. VOL. 9. ISSUE 2. P. 155-199 9 82% 12

Classes with closest relation at Level 1


Rank Class id link
1 13254 NEAR CONTROLLABILITY//DISCRETE TIME BILINEAR SYSTEMS//TRANSFER EQUIVALENCE
2 19524 INVARIANCE ENTROPY//SEMI SIMPLE LIE GROUPS//INVARIANT CONTROL SETS
3 37534 METHOD OF ORIENTING CURVES//DENSE WINDING//COINCIDENCE AND NON COINCIDENCE SET
4 22851 BIFURCATION CONTROL//CONTROL BIFURCATIONS//FEEDBACK CLASSIFICATION
5 26505 SET OF TRAJECTORIES//ATTRACTION SET//INTEGRAL CONSTRAINT
6 20405 QUANTUM SPEED LIMIT//CONJUGATE AND CUT LOCI//GEOMETRIC OPTIMAL CONTROL
7 19397 NORMAL NECESSARY CONDITIONS//DISCRETE APPROXIMATIONS//MIXED CONSTRAINTS
8 5572 HAMILTON JACOBI EQUATION//VISCOSITY SOLUTIONS//VISCOSITY SOLUTION
9 3677 INPUT TO STATE STABILITY//CONTROL LYAPUNOV FUNCTION//GLOBAL STABILIZATION
10 11264 NONHOLONOMIC MECHANICS//REGULAR & CHAOTIC DYNAMICS//SPHERICAL ROBOT

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