Class information for:
Level 1: INCREMENTAL STABILITY//CONTRACTION THEORY//REACTION DIFFUSION PDES

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
35420 97 31.9 51%


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
538 2             AUTOMATION & CONTROL SYSTEMS//NONLINEAR SYSTEMS//ITERATIVE LEARNING CONTROL 14763
35420 1                   INCREMENTAL STABILITY//CONTRACTION THEORY//REACTION DIFFUSION PDES 97

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 INCREMENTAL STABILITY authKW 2682635 14% 61% 14
2 CONTRACTION THEORY authKW 1970403 13% 48% 13
3 REACTION DIFFUSION PDES authKW 708299 3% 75% 3
4 CONVERGENT SYSTEMS authKW 629593 6% 33% 6
5 NONLINEAR SYST address 509575 20% 9% 19
6 COUPLED OREGONATORS authKW 419732 2% 67% 2
7 NONLINEAR ASYMPTOTIC OBSERVER authKW 419732 2% 67% 2
8 ASSOCIATE OSCILLATOR authKW 314800 1% 100% 1
9 CONTRACTING CONTROLLER authKW 314800 1% 100% 1
10 CONTRACTION METRICS authKW 314800 1% 100% 1

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 8181 60% 0% 58
2 Engineering, Electrical & Electronic 444 40% 0% 39
3 Operations Research & Management Science 228 11% 0% 11
4 Computer Science, Artificial Intelligence 137 10% 0% 10
5 Physics, Mathematical 118 10% 0% 10
6 Mathematics, Applied 78 12% 0% 12
7 Mathematics, Interdisciplinary Applications 63 6% 0% 6
8 Computer Science, Cybernetics 43 2% 0% 2
9 Mathematical & Computational Biology 42 4% 0% 4
10 Physics, Multidisciplinary 20 8% 0% 8

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 NONLINEAR SYST 509575 20% 9% 19
2 NEWSROOM JOURNAL 314800 1% 100% 1
3 ADV STUDY MATH SCI 157399 1% 50% 1
4 DIPARTAMENTO SISTEMI INFORMAT 157399 1% 50% 1
5 AUTOMAT CONTROL SYST THEORY 104932 1% 33% 1
6 MICROELE OMECH SYST UNIT CMEMS UMINHO 104932 1% 33% 1
7 DIPARTIMENTO SIST INFORMAT 78699 1% 25% 1
8 MECHATRON UNIT 52465 1% 17% 1
9 NEURAL SYST CODING 52465 1% 17% 1
10 AUTOMAT MICROINFORMAT IND 44970 1% 14% 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 11542 21% 0% 20
2 SYSTEMS & CONTROL LETTERS 6301 9% 0% 9
3 AUTOMATICA 3254 9% 0% 9
4 NEURAL COMPUTATION 1999 4% 0% 4
5 AUTOMATION AND REMOTE CONTROL 751 3% 0% 3
6 MODELING IDENTIFICATION AND CONTROL 712 1% 0% 1
7 JOURNAL OF COMPUTATIONAL SCIENCE 631 1% 0% 1
8 PLOS COMPUTATIONAL BIOLOGY 608 3% 0% 3
9 INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL 564 2% 0% 2
10 IMA JOURNAL OF MATHEMATICAL CONTROL AND INFORMATION 485 1% 0% 1

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 INCREMENTAL STABILITY 2682635 14% 61% 14 Search INCREMENTAL+STABILITY Search INCREMENTAL+STABILITY
2 CONTRACTION THEORY 1970403 13% 48% 13 Search CONTRACTION+THEORY Search CONTRACTION+THEORY
3 REACTION DIFFUSION PDES 708299 3% 75% 3 Search REACTION+DIFFUSION+PDES Search REACTION+DIFFUSION+PDES
4 CONVERGENT SYSTEMS 629593 6% 33% 6 Search CONVERGENT+SYSTEMS Search CONVERGENT+SYSTEMS
5 COUPLED OREGONATORS 419732 2% 67% 2 Search COUPLED+OREGONATORS Search COUPLED+OREGONATORS
6 NONLINEAR ASYMPTOTIC OBSERVER 419732 2% 67% 2 Search NONLINEAR+ASYMPTOTIC+OBSERVER Search NONLINEAR+ASYMPTOTIC+OBSERVER
7 ASSOCIATE OSCILLATOR 314800 1% 100% 1 Search ASSOCIATE+OSCILLATOR Search ASSOCIATE+OSCILLATOR
8 CONTRACTING CONTROLLER 314800 1% 100% 1 Search CONTRACTING+CONTROLLER Search CONTRACTING+CONTROLLER
9 CONTRACTION METRICS 314800 1% 100% 1 Search CONTRACTION+METRICS Search CONTRACTION+METRICS
10 COUPLED IDENTICAL SYSTEM 314800 1% 100% 1 Search COUPLED+IDENTICAL+SYSTEM Search COUPLED+IDENTICAL+SYSTEM

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 DI BERNARDO, M , LIUZZA, D , RUSSO, G , (2014) CONTRACTION ANALYSIS FOR A CLASS OF NONDIFFERENTIABLE SYSTEMS WITH APPLICATIONS TO STABILITY AND NETWORK SYNCHRONIZATION.SIAM JOURNAL ON CONTROL AND OPTIMIZATION. VOL. 52. ISSUE 5. P. 3203 -3227 18 78% 0
2 FORNI, F , SEPULCHRE, R , (2014) A DIFFERENTIAL LYAPUNOV FRAMEWORK FOR CONTRACTION ANALYSIS.IEEE TRANSACTIONS ON AUTOMATIC CONTROL. VOL. 59. ISSUE 3. P. 614-628 14 54% 33
3 MARGALIOT, M , SONTAG, ED , TULLER, T , (2016) CONTRACTION AFTER SMALL TRANSIENTS.AUTOMATICA. VOL. 67. ISSUE . P. 178 -184 15 56% 0
4 FIORE, D , HOGAN, SJ , DI BERNARDO, M , (2016) CONTRACTION ANALYSIS OF SWITCHED SYSTEMS VIA REGULARIZATION.AUTOMATICA. VOL. 73. ISSUE . P. 279 -288 10 83% 0
5 LU, WL , DI BERNARDO, M , (2016) CONTRACTION AND INCREMENTAL STABILITY OF SWITCHED CARATHEODORY SYSTEMS USING MULTIPLE NORMS.AUTOMATICA. VOL. 70. ISSUE . P. 1 -8 10 67% 0
6 JIANG, B , YANG, H , (2016) INCREMENTAL STABILITY OF SWITCHED NON-LINEAR SYSTEMS.IET CONTROL THEORY AND APPLICATIONS. VOL. 10. ISSUE 2. P. 220 -225 10 53% 0
7 SIMPSON-PORCO, JW , BULLO, F , (2014) CONTRACTION THEORY ON RIEMANNIAN MANIFOLDS.SYSTEMS & CONTROL LETTERS. VOL. 65. ISSUE . P. 74 -80 10 50% 10
8 DEVANE, E , LESTAS, I , (2017) DELAY-INDEPENDENT INCREMENTAL STABILITY IN TIME-VARYING MONOTONE SYSTEMS SATISFYING A GENERALIZED CONDITION OF TWO-SIDED SCALABILITY.AUTOMATICA. VOL. 76. ISSUE . P. 1 -9 8 38% 1
9 RUSSO, G , DI BERNARDO, M , SLOTINE, JJE , (2011) A GRAPHICAL APPROACH TO PROVE CONTRACTION OF NONLINEAR CIRCUITS AND SYSTEMS.IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS. VOL. 58. ISSUE 2. P. 336-348 10 50% 4
10 POGROMSKY, AY , MATVEEV, AS , (2016) STABILITY ANALYSIS VIA AVERAGING FUNCTIONS.IEEE TRANSACTIONS ON AUTOMATIC CONTROL. VOL. 61. ISSUE 4. P. 1081 -1086 6 75% 0

Classes with closest relation at Level 1


Rank Class id link
1 17030 OUTPUT REGULATION//MULTIPLE NARROW BAND DISTURBANCES//STABLE INVERSION
2 36713 CHAOS COMPUTING//ANALOG ELECTRONIC//DYNAMICS BASED COMPUTING
3 3019 COMPLEX DYNAMICAL NETWORKS//PINNING CONTROL//COMPLEX NETWORKS
4 25038 ALMOST EVERYWHERE STABILITY//DOMAIN OF ATTRACTION//BORGS CRITERION
5 23966 GENETIC REGULATORY NETWORKS//GENETIC REGULATORY NETWORKS GRNS//DISCRETE TIME GENETIC REGULATORY NETWORK
6 11986 HYBRID SYSTEMS//APPROXIMATE BISIMULATION//SAFETY VERIFICATION
7 27847 CONTINUOUS ATTRACTORS//HAMMING MAXNET//K WINNER MACHINE
8 37439 TIME MULTIPLIED PERFORMANCE INDEX//AIRCRAFT PITCH RATE CONTROL//ANALYTICAL DERIVATIONS
9 3677 INPUT TO STATE STABILITY//CONTROL LYAPUNOV FUNCTION//GLOBAL STABILIZATION
10 10006 NONLINEAR OBSERVER//EXPONENTIAL OBSERVERS//HIGH GAIN OBSERVER

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