Class information for:
Level 1: ALMOST EVERYWHERE STABILITY//DOMAIN OF ATTRACTION//BORGS CRITERION

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
25038 293 25.5 41%


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
28 2             AUTOMATION & CONTROL SYSTEMS//IEEE TRANSACTIONS ON AUTOMATIC CONTROL//INTERNATIONAL JOURNAL OF CONTROL 33612
25038 1                   ALMOST EVERYWHERE STABILITY//DOMAIN OF ATTRACTION//BORGS CRITERION 293

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 ALMOST EVERYWHERE STABILITY authKW 416863 1% 100% 4
2 DOMAIN OF ATTRACTION authKW 357940 10% 11% 30
3 BORGS CRITERION authKW 312648 1% 100% 3
4 CONTRACTION METRIC authKW 312648 1% 100% 3
5 EXPONENTIALLY STABLE EQUILIBRIUM authKW 312648 1% 100% 3
6 ZUBOVS METHOD authKW 289484 2% 56% 5
7 REGION OF ATTRACTION authKW 231575 3% 22% 10
8 BASIN OF ATTRACTION authKW 229235 8% 10% 22
9 ALMOST EVERYWHERE UNIFORM STABILITY authKW 208432 1% 100% 2
10 CPA FUNCTION authKW 208432 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 18071 51% 0% 150
2 Mathematics, Applied 1544 29% 0% 86
3 Engineering, Electrical & Electronic 1045 36% 0% 105
4 Mathematics 268 14% 0% 42
5 Operations Research & Management Science 210 6% 0% 19
6 Instruments & Instrumentation 181 9% 0% 25
7 Computer Science, Cybernetics 130 2% 0% 6
8 Mathematics, Interdisciplinary Applications 91 4% 0% 13
9 Robotics 58 1% 0% 4
10 Engineering, General 53 4% 0% 11

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 COMPUTER BIOMED ENGN 104216 0% 100% 1
2 ELEC COMP ENGG 104216 0% 100% 1
3 EUN OLIS 104216 0% 100% 1
4 GRP AUTOMAT SYST 104216 0% 100% 1
5 JA MOHLER ECUMEN 104216 0% 100% 1
6 SYST AUTOMATISES 104216 0% 100% 1
7 SYST CONTROL ELECT COMP ENGN 104216 0% 100% 1
8 BELFORT TECHNOPOLE 59549 1% 29% 2
9 ELEC ENGN COMP SCI 52107 0% 50% 1
10 POLYTECH TUNIS 52107 0% 50% 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 IEEE TRANSACTIONS ON AUTOMATIC CONTROL 13766 13% 0% 38
2 INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL 9182 5% 1% 14
3 AUTOMATICA 4789 6% 0% 19
4 DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B 3880 3% 0% 8
5 AT-AUTOMATISIERUNGSTECHNIK 2809 1% 1% 4
6 DYNAMICS AND CONTROL 2618 1% 1% 2
7 SYSTEMS & CONTROL LETTERS 2563 3% 0% 10
8 DYNAMICAL SYSTEMS-AN INTERNATIONAL JOURNAL 2206 1% 1% 3
9 IET CONTROL THEORY AND APPLICATIONS 2193 2% 0% 7
10 COMPLEXITY 2131 1% 1% 3

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 ALMOST EVERYWHERE STABILITY 416863 1% 100% 4 Search ALMOST+EVERYWHERE+STABILITY Search ALMOST+EVERYWHERE+STABILITY
2 DOMAIN OF ATTRACTION 357940 10% 11% 30 Search DOMAIN+OF+ATTRACTION Search DOMAIN+OF+ATTRACTION
3 BORGS CRITERION 312648 1% 100% 3 Search BORGS+CRITERION Search BORGS+CRITERION
4 CONTRACTION METRIC 312648 1% 100% 3 Search CONTRACTION+METRIC Search CONTRACTION+METRIC
5 EXPONENTIALLY STABLE EQUILIBRIUM 312648 1% 100% 3 Search EXPONENTIALLY+STABLE+EQUILIBRIUM Search EXPONENTIALLY+STABLE+EQUILIBRIUM
6 ZUBOVS METHOD 289484 2% 56% 5 Search ZUBOVS+METHOD Search ZUBOVS+METHOD
7 REGION OF ATTRACTION 231575 3% 22% 10 Search REGION+OF+ATTRACTION Search REGION+OF+ATTRACTION
8 BASIN OF ATTRACTION 229235 8% 10% 22 Search BASIN+OF+ATTRACTION Search BASIN+OF+ATTRACTION
9 ALMOST EVERYWHERE UNIFORM STABILITY 208432 1% 100% 2 Search ALMOST+EVERYWHERE+UNIFORM+STABILITY Search ALMOST+EVERYWHERE+UNIFORM+STABILITY
10 CPA FUNCTION 208432 1% 100% 2 Search CPA+FUNCTION Search CPA+FUNCTION

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 NAJAFI, E , BABUSKA, R , LOPES, GAD , (2016) A FAST SAMPLING METHOD FOR ESTIMATING THE DOMAIN OF ATTRACTION.NONLINEAR DYNAMICS. VOL. 86. ISSUE 2. P. 823 -834 17 94% 0
2 GIESL, P , HAFSTEIN, S , (2015) REVIEW ON COMPUTATIONAL METHODS FOR LYAPUNOV FUNCTIONS.DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B. VOL. 20. ISSUE 8. P. 2291 -2331 41 35% 2
3 HAFSTEIN, SF , LI, H , (2017) COMPUTATION OF LYAPUNOV FUNCTIONS FOR NONAUTONOMOUS SYSTEMS ON FINITE TIME-INTERVALS BY LINEAR PROGRAMMING.JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. VOL. 447. ISSUE 2. P. 933 -950 10 100% 0
4 COUTINHO, D , DE SOUZA, CE , (2013) LOCAL STABILITY ANALYSIS AND DOMAIN OF ATTRACTION ESTIMATION FOR A CLASS OF UNCERTAIN NONLINEAR DISCRETE-TIME SYSTEMS.INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL. VOL. 23. ISSUE 13. P. 1456 -1471 13 81% 0
5 CHESI, G , (2013) RATIONAL LYAPUNOV FUNCTIONS FOR ESTIMATING AND CONTROLLING THE ROBUST DOMAIN OF ATTRACTION.AUTOMATICA. VOL. 49. ISSUE 4. P. 1051-1057 9 100% 9
6 LUK, CK , CHESI, G , (2015) ON THE ESTIMATION OF THE DOMAIN OF ATTRACTION FOR DISCRETE-TIME SWITCHED AND HYBRID NONLINEAR SYSTEMS.INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE. VOL. 46. ISSUE 15. P. 2781 -2787 10 91% 0
7 GIESL, P , HAFSTEIN, S , (2015) COMPUTATION AND VERIFICATION OF LYAPUNOV FUNCTIONS.SIAM JOURNAL ON APPLIED DYNAMICAL SYSTEMS. VOL. 14. ISSUE 4. P. 1663 -1698 13 68% 0
8 GIESL, PA , HAFSTEIN, SF , (2014) REVISED CPA METHOD TO COMPUTE LYAPUNOV FUNCTIONS FOR NONLINEAR SYSTEMS.JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. VOL. 410. ISSUE 1. P. 292-306 11 73% 12
9 AMATO, F , AMBROSINO, R , ARIOLA, M , MEROLA, A , (2012) DOMAIN OF ATTRACTION AND GUARANTEED COST CONTROL FOR NON-LINEAR QUADRATIC SYSTEMS. PART 1. ANALYSIS.IET CONTROL THEORY AND APPLICATIONS. VOL. 6. ISSUE 17. P. 2611 -2618 12 75% 7
10 GIESL, P , HAFSTEIN, S , (2012) EXISTENCE OF PIECEWISE LINEAR LYAPUNOV FUNCTIONS IN ARBITRARY DIMENSIONS.DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS. VOL. 32. ISSUE 10. P. 3539 -3565 9 100% 6

Classes with closest relation at Level 1


Rank Class id link
1 8890 PARAMETER DEPENDENT LYAPUNOV FUNCTION//LINEAR PARAMETER VARYING SYSTEMS//LINEAR PARAMETER VARYING LPV SYSTEMS
2 13892 POSITIVE POLYNOMIALS//POSITIVSTELLENSATZ//SUM OF SQUARES
3 35420 INCREMENTAL STABILITY//CONTRACTION THEORY//REACTION DIFFUSION PDES
4 8544 TRANSIENT STABILITY//DYNAMIC SECURITY ASSESSMENT//DYNAMIC EQUIVALENTS
5 9201 ANTI WINDUP//ACTUATOR SATURATION//INPUT SATURATION
6 26821 MULTI NONLINEAR FEEDBACK//COMPUTER AIDED CONTROLLER SYNTHESIS//MODEL MATCHING CONTROLLER
7 3677 INPUT TO STATE STABILITY//CONTROL LYAPUNOV FUNCTION//GLOBAL STABILIZATION
8 20476 OCCUPATIONAL MEASURES//CONTROL SETS//DIFFERENTIAL INCLUSIONS
9 23734 GENERALIZED CELL MAPPING//CELL MAPPING//CELL MAPPING METHODS
10 11986 HYBRID SYSTEMS//APPROXIMATE BISIMULATION//SAFETY VERIFICATION

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