Class information for: |
Basic class information |
| Class id | #P | Avg. number of references |
Database coverage of references |
|---|---|---|---|
| 30600 | 166 | 16.0 | 54% |
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 |
| 485 | 3 | LINEAR ALGEBRA AND ITS APPLICATIONS//BENFORDS LAW//MATHEMATICS, APPLIED | 23484 |
| 943 | 2 | LINEAR ALGEBRA AND ITS APPLICATIONS//SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS//MOORE PENROSE INVERSE | 10922 |
| 30600 | 1 | MATRIX BOUND//CONTINUOUS ALGEBRAIC RICCATI EQUATION//CONTINUOUS ALGEBRAIC RICCATI EQUATION CARE | 166 |
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 | MATRIX BOUND | authKW | 3527014 | 13% | 91% | 21 |
| 2 | CONTINUOUS ALGEBRAIC RICCATI EQUATION | authKW | 766451 | 3% | 83% | 5 |
| 3 | CONTINUOUS ALGEBRAIC RICCATI EQUATION CARE | authKW | 735795 | 2% | 100% | 4 |
| 4 | CONTINUOUS COUPLED ALGEBRAIC RICCATI EQUATION | authKW | 735795 | 2% | 100% | 4 |
| 5 | UNIFIED RICCATI EQUATION | authKW | 551846 | 2% | 100% | 3 |
| 6 | MAJORIZATION INEQUALITY | authKW | 420451 | 2% | 57% | 4 |
| 7 | CONTINUOUS ALGEBRAIC LYAPUNOV EQUATION | authKW | 367898 | 1% | 100% | 2 |
| 8 | LINEAR ALGEBRAIC TECHNIQUE | authKW | 367898 | 1% | 100% | 2 |
| 9 | LOWER MATRIX BOUND | authKW | 367898 | 1% | 100% | 2 |
| 10 | UNIFIED LYAPUNOV EQUATION | authKW | 367898 | 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 | 23355 | 77% | 0% | 128 |
| 2 | Engineering, Electrical & Electronic | 1544 | 56% | 0% | 93 |
| 3 | Operations Research & Management Science | 356 | 11% | 0% | 18 |
| 4 | Mathematics, Interdisciplinary Applications | 355 | 11% | 0% | 18 |
| 5 | Engineering, General | 313 | 11% | 0% | 18 |
| 6 | Mathematics, Applied | 112 | 11% | 0% | 19 |
| 7 | Mathematics | 79 | 11% | 0% | 18 |
| 8 | Computer Science, Theory & Methods | 50 | 5% | 0% | 9 |
| 9 | Multidisciplinary Sciences | 5 | 1% | 0% | 2 |
| 10 | Computer Science, Cybernetics | 5 | 1% | 0% | 1 |
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 | SAC C ITAL MANAGEMENT | 183949 | 1% | 100% | 1 |
| 2 | MATH SCI INFORMAT TECHNOL | 113192 | 2% | 15% | 4 |
| 3 | PREVISAO TEMPO ESTUD CLIMATICOS | 91973 | 1% | 50% | 1 |
| 4 | MATH COMPUTAT SCI | 22253 | 11% | 1% | 18 |
| 5 | ELECT ENGN EDUC | 18393 | 1% | 10% | 1 |
| 6 | ILSCM | 11495 | 1% | 6% | 1 |
| 7 | INTELLIGENT COMP INFORMAT PROC | 7824 | 1% | 2% | 2 |
| 8 | EDUC MINIST IMAGE PROC INTELLIGENT CONTROL | 7356 | 1% | 4% | 1 |
| 9 | INTELLIGENT CONTROL ROBOT | 4597 | 1% | 3% | 1 |
| 10 | HUNAN COMPUTAT SIMULAT SCI ENGN | 3450 | 1% | 1% | 2 |
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 | 58779 | 36% | 1% | 59 |
| 2 | JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS | 14247 | 10% | 0% | 16 |
| 3 | INTERNATIONAL JOURNAL OF CONTROL | 5572 | 8% | 0% | 14 |
| 4 | INTERNATIONAL JOURNAL OF CONTROL AUTOMATION AND SYSTEMS | 3999 | 4% | 0% | 6 |
| 5 | COMPTES RENDUS DE L ACADEMIE BULGARE DES SCIENCES | 3152 | 4% | 0% | 6 |
| 6 | INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE | 2736 | 5% | 0% | 9 |
| 7 | ELECTRONIC JOURNAL OF LINEAR ALGEBRA | 2418 | 2% | 0% | 3 |
| 8 | SIAM JOURNAL ON ALGEBRAIC AND DISCRETE METHODS | 1649 | 1% | 0% | 2 |
| 9 | SYSTEMS & CONTROL LETTERS | 1629 | 4% | 0% | 6 |
| 10 | AUTOMATICA | 1143 | 4% | 0% | 7 |
Author Key Words |
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 | LEE, CH , (2016) A UNIFIED APPROACH OF THE MEASUREMENT OF SOLUTION BOUNDS OF THE CONTINUOUS AND DISCRETE ALGEBRAIC LYAPUNOV EQUATIONS.JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS. VOL. 353. ISSUE 11. P. 2534 -2551 | 25 | 96% | 0 |
| 2 | KWON, WH , MOON, YS , AHN, SC , (1996) BOUNDS IN ALGEBRAIC RICCATI AND LYAPUNOV EQUATIONS: A SURVEY AND SOME NEW RESULTS.INTERNATIONAL JOURNAL OF CONTROL. VOL. 64. ISSUE 3. P. 377-389 | 36 | 97% | 59 |
| 3 | LEE, CH , (2012) A NEW APPROACH FOR UPPER BOUND ESTIMATIONS OF THE SOLUTION OF THE CONTINUOUS RICCATI EQUATION.IEEE TRANSACTIONS ON AUTOMATIC CONTROL. VOL. 57. ISSUE 8. P. 2074 -2077 | 25 | 93% | 1 |
| 4 | LEE, CH , (2006) NEW UPPER SOLUTION BOUNDS OF THE CONTINUOUS ALGEBRAIC RICCATI MATRIX EQUATION.IEEE TRANSACTIONS ON AUTOMATIC CONTROL. VOL. 51. ISSUE 2. P. 330-334 | 20 | 95% | 17 |
| 5 | LEE, CH , (2004) SOLUTION BOUNDS OF THE CONTINUOUS AND DISCRETE LYAPUNOV MATRIX EQUATIONS.JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS. VOL. 120. ISSUE 3. P. 559-578 | 22 | 92% | 10 |
| 6 | DAVIES, R , SHI, P , WILTSHIRE, R , (2007) NEW LOWER SOLUTION BOUNDS OF THE CONTINUOUS ALGEBRAIC RICCATI MATRIX EQUATION.LINEAR ALGEBRA AND ITS APPLICATIONS. VOL. 427. ISSUE 2-3. P. 242-255 | 18 | 100% | 13 |
| 7 | LEE, CH , CHEN, CY , (2009) MATRIX SOLUTION BOUNDS OF THE CONTINUOUS LYAPUNOV EQUATION BY USING A BILINEAR TRANSFORMATION.JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS. VOL. 346. ISSUE 8. P. 741 -751 | 18 | 95% | 3 |
| 8 | LEE, CH , (2003) MATRIX BOUNDS OF THE SOLUTIONS OF THE CONTINUOUS AND DISCRETE RICCATI EQUATIONS - A UNIFIED APPROACH.INTERNATIONAL JOURNAL OF CONTROL. VOL. 76. ISSUE 6. P. 635-642 | 21 | 95% | 8 |
| 9 | ULUKOK, Z , TURKMEN, R , (2013) NEW UPPER BOUNDS ON THE SOLUTION MATRIX TO THE CONTINUOUS ALGEBRAIC RICCATI MATRIX EQUATION.JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS. VOL. 350. ISSUE 10. P. 3417-3431 | 21 | 70% | 1 |
| 10 | DAVIES, R , SHI, P , WILTSHIRE, R , (2008) NEW UPPER SOLUTION BOUNDS OF THE DISCRETE ALGEBRAIC RICCATI MATRIX EQUATION.JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS. VOL. 213. ISSUE 2. P. 307-315 | 16 | 100% | 10 |
Classes with closest relation at Level 1 |