Class information for:
Level 1: FINITE HORIZON LQ PROBLEM//DISCRETE TIME ALGEBRAIC RICCATI EQUATION//UNMIXED SOLUTIONS

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
23472 345 18.4 30%


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
23472 1                   FINITE HORIZON LQ PROBLEM//DISCRETE TIME ALGEBRAIC RICCATI EQUATION//UNMIXED SOLUTIONS 345

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 FINITE HORIZON LQ PROBLEM authKW 442538 1% 100% 5
2 DISCRETE TIME ALGEBRAIC RICCATI EQUATION authKW 361400 2% 58% 7
3 UNMIXED SOLUTIONS authKW 354031 1% 100% 4
4 CLOSED LOOP MATRIX authKW 265523 1% 100% 3
5 DISCRETE TIME VARIANT SYSTEMS authKW 265523 1% 100% 3
6 PARAMETRIZATION BY INVARIANT SUBSPACES authKW 265523 1% 100% 3
7 SYMPLECTIC PENCILS authKW 265523 1% 100% 3
8 ALGEBRAIC RICCATI EQUATION authKW 231744 7% 11% 23
9 STOCHASTIC REALIZATION authKW 224022 3% 28% 9
10 ACAUSAL ESTIMATION authKW 177015 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 29871 61% 0% 209
2 Mathematics, Applied 1923 30% 0% 104
3 Operations Research & Management Science 1647 16% 0% 55
4 Mathematics 865 23% 0% 78
5 Engineering, Electrical & Electronic 492 24% 0% 82
6 Instruments & Instrumentation 190 8% 0% 28
7 COMPUTER APPLICATIONS & CYBERNETICS 132 1% 0% 2
8 Computer Science, Theory & Methods 36 3% 0% 12
9 Computer Science, Cybernetics 24 1% 0% 3
10 Statistics & Probability 18 2% 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 LADSEB 116387 3% 12% 11
2 COMP AUTOMAT OPERAT DECIS SYST 88508 0% 100% 1
3 ENGN SCI PROBLEMS 88508 0% 100% 1
4 IST RIC DINAM SISTEMI BIOINGN 88508 0% 100% 1
5 STOCHAST DYNAM SYST 88508 0% 100% 1
6 ISIE WISKUNDE INFORMAT 70804 1% 40% 2
7 AUTOMATISME IND 44253 0% 50% 1
8 AUTOMAT CONTROL COMPUTERS 29501 0% 33% 1
9 IND CONTROL UNIT 29501 0% 33% 1
10 SUB WISKUNDE INFORMAT 29501 0% 33% 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 SYSTEMS & CONTROL LETTERS 48362 14% 1% 47
2 SIAM JOURNAL ON CONTROL AND OPTIMIZATION 21860 9% 1% 30
3 IEEE TRANSACTIONS ON AUTOMATIC CONTROL 18661 14% 0% 48
4 LINEAR ALGEBRA AND ITS APPLICATIONS 11102 11% 0% 38
5 INTERNATIONAL JOURNAL OF CONTROL 9242 8% 0% 26
6 AUTOMATION AND REMOTE CONTROL 6800 5% 0% 17
7 MATHEMATICAL SYSTEMS THEORY 4404 1% 1% 4
8 AUTOMATICA 3248 5% 0% 17
9 MATHEMATICS OF CONTROL SIGNALS AND SYSTEMS 3077 1% 1% 4
10 THEORY OF PROBABILITY AND ITS APPLICATIONS 1620 2% 0% 6

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 FINITE HORIZON LQ PROBLEM 442538 1% 100% 5 Search FINITE+HORIZON+LQ+PROBLEM Search FINITE+HORIZON+LQ+PROBLEM
2 DISCRETE TIME ALGEBRAIC RICCATI EQUATION 361400 2% 58% 7 Search DISCRETE+TIME+ALGEBRAIC+RICCATI+EQUATION Search DISCRETE+TIME+ALGEBRAIC+RICCATI+EQUATION
3 UNMIXED SOLUTIONS 354031 1% 100% 4 Search UNMIXED+SOLUTIONS Search UNMIXED+SOLUTIONS
4 CLOSED LOOP MATRIX 265523 1% 100% 3 Search CLOSED+LOOP+MATRIX Search CLOSED+LOOP+MATRIX
5 DISCRETE TIME VARIANT SYSTEMS 265523 1% 100% 3 Search DISCRETE+TIME+VARIANT+SYSTEMS Search DISCRETE+TIME+VARIANT+SYSTEMS
6 PARAMETRIZATION BY INVARIANT SUBSPACES 265523 1% 100% 3 Search PARAMETRIZATION+BY+INVARIANT+SUBSPACES Search PARAMETRIZATION+BY+INVARIANT+SUBSPACES
7 SYMPLECTIC PENCILS 265523 1% 100% 3 Search SYMPLECTIC+PENCILS Search SYMPLECTIC+PENCILS
8 ALGEBRAIC RICCATI EQUATION 231744 7% 11% 23 Search ALGEBRAIC+RICCATI+EQUATION Search ALGEBRAIC+RICCATI+EQUATION
9 STOCHASTIC REALIZATION 224022 3% 28% 9 Search STOCHASTIC+REALIZATION Search STOCHASTIC+REALIZATION
10 ACAUSAL ESTIMATION 177015 1% 100% 2 Search ACAUSAL+ESTIMATION Search ACAUSAL+ESTIMATION

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 FERRANTE, A , NTOGRAMATZIDIS, L , (2014) A REDUCTION TECHNIQUE FOR DISCRETE GENERALIZED ALGEBRAIC AND DIFFERENCE RICCATI EQUATIONS.LINEAR & MULTILINEAR ALGEBRA. VOL. 62. ISSUE 11. P. 1460 -1474 12 86% 1
2 FERRANTE, A , (2005) MINIMAL REPRESENTATIONS OF CONTINUOUS-TIME PROCESSES HAVING SPECTRAL DENSITY WITH ZEROS IN THE EXTENDED IMAGINARY AXIS.SYSTEMS & CONTROL LETTERS. VOL. 54. ISSUE 5. P. 511 -520 15 83% 2
3 SCHERER, CW , (1995) ALGEBRAIC RICCATI EQUATION AND INEQUALITY FOR SYSTEMS WITH UNCONTROLLABLE MODES ON THE IMAGINARY AXIS.SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS. VOL. 16. ISSUE 4. P. 1308-1327 14 93% 1
4 FERRANTE, A , NTOGRAMATZIDIS, L , (2013) THE EXTENDED SYMPLECTIC PENCIL AND THE FINITE-HORIZON LQ PROBLEM WITH TWO-SIDED BOUNDARY CONDITIONS.IEEE TRANSACTIONS ON AUTOMATIC CONTROL. VOL. 58. ISSUE 8. P. 2102-2107 9 82% 2
5 DILIP, ASA , PILLAI, HK , (2015) YET ANOTHER CHARACTERIZATION OF SOLUTIONS OF THE ALGEBRAIC RICCATI EQUATION.LINEAR ALGEBRA AND ITS APPLICATIONS. VOL. 481. ISSUE . P. 1 -35 9 75% 1
6 FERRANTE, A , NTOGRAMATZIDIS, L , (2015) A NOTE ON FINITE-HORIZON LQ PROBLEMS WITH INDEFINITE COST.AUTOMATICA. VOL. 52. ISSUE . P. 290 -293 6 100% 1
7 WIMMER, HK , (2006) A PARAMETRIZATION OF SOLUTIONS OF THE DISCRETE-TIME ALGEBRAIC RICCATI EQUATION BASED ON PAIRS OF OPPOSITE UNMIXED SOLUTIONS.SIAM JOURNAL ON CONTROL AND OPTIMIZATION. VOL. 44. ISSUE 6. P. 1992-2005 9 75% 5
8 WIMMER, HK , (1996) THE SET OF POSITIVE SEMIDEFINITE SOLUTIONS OF THE ALGEBRAIC RICCATI EQUATION OF DISCRETE-TIME OPTIMAL CONTROL.IEEE TRANSACTIONS ON AUTOMATIC CONTROL. VOL. 41. ISSUE 5. P. 660-671 10 91% 8
9 NTOGRAMATZIDIS, L , FERRANTE, A , (2010) ON THE SOLUTION OF THE RICCATI DIFFERENTIAL EQUATION ARISING FROM THE LQ OPTIMAL CONTROL PROBLEM.SYSTEMS & CONTROL LETTERS. VOL. 59. ISSUE 2. P. 114-121 9 64% 8
10 IONESCU, V , (1998) TIME-VARYING DISCRETE RICCATI EQUATION IN TERMS OF BEN ARTZI-GOHBERG DICHOTOMY.LINEAR ALGEBRA AND ITS APPLICATIONS. VOL. 277. ISSUE 1-3. P. 313 -336 8 100% 0

Classes with closest relation at Level 1


Rank Class id link
1 14267 NONLINEAR MATRIX EQUATION//NONSYMMETRIC ALGEBRAIC RICCATI EQUATION//POSITIVE DEFINITE SOLUTION
2 11159 H INFINITY CONTROL//NONLINEAR H INFINITY CONTROL//AUTOMATION & CONTROL SYSTEMS
3 12020 SAMPLED DATA SYSTEMS//PERIODIC SYSTEMS//CONTINUOUS TIME PERIODIC SYSTEM
4 13597 ROBUST FILTERING//H INFINITY FILTERING//ROBUST H INFINITY FILTERING
5 35010 OPTIMAL UNIVERSAL REGULATORS//DUALITY PROBLEM//INTERNAL PRINCIPLE
6 36225 LINEAR RECURSION EQUATION//OPTIMAL INTERPOLATING SPLINES//OPTIMAL SMOOTHING SPLINES
7 6637 DESCRIPTOR SYSTEMS//SINGULAR SYSTEMS//STRANGENESS INDEX
8 8229 MATRIX POLYNOMIAL//POLYNOMIAL EIGENVALUE PROBLEM//STABILITY RADIUS
9 23872 UDU FACTORISATION//OPTIMAL PROJECTION EQUATIONS//ACOUSTIC RADAR
10 33108 OPTIMIZAT SYST THEORY//COVARIANCE EXTENSION//RATIONAL COVARIANCE EXTENSION

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