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LMI toolbox

swMATH ID: 6383
Software Authors: MathWorks; Gahinet, P.; Nemirovskii, A.; Laub, A.J.; Chilali, M.
Description: Linear Matrix Inequalities (LMIs) and LMI techniques have emerged as powerful design tools in areas ranging from control engineering to system identification and structural design. The LMI Control Toolbox implements state-of-the-art interior-point LMI solvers. While these solvers are significantly faster than classical convex optimization algorithms, it should be kept in mind that the complexity of LMI computations remains higher than that of solving, say, a Riccati equation. For instance, problems with a thousand design variables typically take over an hour on today’s workstations. However, research on LMI optimization is still very active and substantial speed-ups can be expected in the future. Thanks to its efficient “structured” representation of LMIs, the LMI Control Toolbox is geared to making the most out of such improvements
Homepage: http://www.mathworks.de/help/releases/R13sp2/pdf_doc/lmi/lmi.pdf
Dependencies: Matlab
Related Software: Matlab; Control System Toolbox; SeDuMi; YALMIP; Mu Analysis and Synthesis Toolbox; SDPT3; LMITOOL; Robust Control Toolbox; Optimization Toolbox; GloptiPoly; QDES; Sdpsol; SeDuMi Interface; CSDP; CVX; Simulink; SDPA; PENNON; SDPpack; Sostools
Cited in: 1,459 Publications
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Cited by 1,783 Authors

100 Park, Juhyun (Jessie)
43 Kwon, O. M.
37 Ahn, Choon Ki
34 Wu, Huaining
32 Balasubramaniam, Pagavathigounder
29 Wang, Zidong
24 Vũ Ngoc Phát
22 Cao, Jinde
22 Mahmoud, Magdi Sadik Mostafa
22 Yang, Guanghong
21 Shi, Peng
19 Assunção, Edvaldo
19 Kar, Haranath
19 Liu, Xiaohui
19 Wang, Junwei
19 Zhong, Shou-Ming
18 Gao, Huijun
18 Lam, James
17 Amato, Francesco
16 Liu, Yurong
16 Singh, Vimal Pratap
15 Balandin, Dmitriĭ Vladimirovich
15 Kogan, Mark Mikhailovich
15 Peres, Pedro L. D.
15 Rakkiyappan, Rajan
15 Zhang, Qingling
14 Huang, Lin
14 Teixeira, Marcelo C. M.
13 Apkarian, Pierre
13 Feng, Gang
12 Ding, Baocang
12 Hoon Joo, Young
12 Liu, Meiqin
12 Niamsup, Piyapong
11 Cardim, Rodrigo
11 Duan, Zhisheng
11 Karimi, Hamid Reza
10 Bachelier, Olivier
10 Chang, Xiaoheng
10 Edwards, Christopher
10 Oliveira, Ricardo C. L. F.
10 Shaked, Uri
10 Xie, Lihua
9 Anthoni, Selvaraj Marshal
9 Grigoriadis, Karolos M.
9 Hsiao, Feng-Hsiag
9 Lee, Donghwan
9 Li, Xiaodi
9 Mathiyalagan, Kalidass
9 Postlethwaite, Ian
9 Raja, Ramachandran
9 Song, Qiankun
9 Yang, Ying
9 Zhang, Jinhui
8 Ali, M. Syed
8 Liang, Jinling
8 Sun, Yuangong
8 Trinh, Hieu Minh
8 Wang, Changhong
8 Wang, Long
8 Wu, Fen
7 Ariola, Marco
7 Chen, Borsen
7 De Tommasi, Gianmaria
7 Dhawan, Amit
7 Gu, Keqin
7 Huang, Chih-Peng
7 Huang, He
7 Kandanvli, V. Krishna Rao
7 Liu, Xinzhi
7 Montagner, Vinícius F.
7 Rao, Ruofeng
7 Ray, Goshaidas
7 Tuan, Hoang Duong
7 Xie, Wei
7 Zhang, Weihai
6 Arzelier, Denis
6 Chen, Jenq-Der
6 Cosentino, Carlo
6 Cuzzola, Francesco Alessandro
6 Dong, Jiuxiang
6 Li, Hanxiong
6 Li, Tao
6 Mosca, Edoardo
6 Park, Jin Bae
6 Pironti, Alfredo
6 Sakthivel, Rathinasamy
6 Wang, Jinzhi
6 Xi, Jianxiang
6 Xia, Yuanqing
6 Zhai, Guisheng
6 Zhang, Senlin
5 Ambrosino, Roberto
5 Bernal, Miguel Angel
5 Cai, Guangbin
5 Carvalho Minhoto Teixeira, Marcelo
5 Covacic, Márcio Roberto
5 Fang, Jian’an
5 Fei, Shumin
5 Ferreres, Gilles
...and 1,683 more Authors
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Cited in 196 Serials

118 Automatica
78 Journal of the Franklin Institute
76 Applied Mathematics and Computation
75 International Journal of Control
70 Chaos, Solitons and Fractals
65 International Journal of Robust and Nonlinear Control
64 Systems & Control Letters
46 Mathematical Problems in Engineering
40 Fuzzy Sets and Systems
34 International Journal of Systems Science
30 European Journal of Control
30 Nonlinear Dynamics
29 Journal of Optimization Theory and Applications
28 Information Sciences
27 IEEE Transactions on Automatic Control
27 Circuits, Systems, and Signal Processing
23 International Journal of Systems Science. Principles and Applications of Systems and Integration
21 Communications in Nonlinear Science and Numerical Simulation
19 International Journal of Adaptive Control and Signal Processing
18 Abstract and Applied Analysis
18 Nonlinear Analysis. Hybrid Systems
16 Physics Letters. A
16 Asian Journal of Control
15 Kybernetika
14 Neural Networks
14 Automation and Remote Control
13 Advances in Difference Equations
11 Journal of Computational and Applied Mathematics
11 Signal Processing
11 Nonlinear Analysis. Real World Applications
10 Optimal Control Applications & Methods
10 Applied Mathematical Modelling
10 International Journal of Applied Mathematics and Computer Science
9 Modern Physics Letters B
9 Computers & Mathematics with Applications
9 Multidimensional Systems and Signal Processing
9 International Journal of Computer Mathematics
9 Journal of Vibration and Control
8 Mathematics and Computers in Simulation
7 IMA Journal of Mathematical Control and Information
7 Applied Mathematics Letters
7 Control Theory & Applications
7 Journal of Control Theory and Applications
6 Linear Algebra and its Applications
6 Chaos
6 Differential Equations
5 Mathematical Biosciences
5 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
5 SIAM Journal on Control and Optimization
5 Journal of Mathematical Sciences (New York)
5 Journal of Applied Mathematics
5 Iranian Journal of Fuzzy Systems
5 Journal of Zhejiang University. Science A
5 Lecture Notes in Control and Information Sciences
5 Journal of Control Science and Engineering
4 Mathematics in Practice and Theory
4 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
4 International Applied Mechanics
4 Complexity
4 Journal of Inequalities and Applications
4 Physica Scripta
4 Journal of Shenyang Normal University. Natural Science Edition
3 International Journal of General Systems
3 Journal of Mathematical Analysis and Applications
3 Applied Mathematics and Mechanics. (English Edition)
3 Mathematical and Computer Modelling
3 Computational and Applied Mathematics
3 Soft Computing
3 Journal of Zhejiang University. Science
3 Journal of Systems Science and Complexity
3 Science in China. Series F
3 Systems Engineering and Electronics
3 Science China. Information Sciences
2 Computers and Electrical Engineering
2 International Journal of Theoretical Physics
2 Stochastic Analysis and Applications
2 Acta Applicandae Mathematicae
2 Acta Automatica Sinica
2 Journal of Shanghai Jiaotong University (Chinese Edition)
2 Journal of Southeast University. English Edition
2 IEEE Transactions on Signal Processing
2 IEEE Transactions on Circuits and Systems. I: Fundamental Theory and Applications
2 Journal of Computer and Systems Sciences International
2 Reliable Computing
2 Vietnam Journal of Mathematics
2 Discrete Dynamics in Nature and Society
2 Journal of Zhejiang University. Engineering Science
2 Basic Sciences Journal of Textile Universities
2 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
2 Sādhanā
2 Journal of Northeastern University. Natural Science
2 Journal of Applied Mathematics and Computing
2 Journal of Intelligent and Fuzzy Systems
2 Journal of University of Science and Technology of China
2 TWMS Journal of Pure and Applied Mathematics
2 Arabian Journal for Science and Engineering
2 ISRN Computational Mathematics
1 International Journal of Modern Physics B
1 Biological Cybernetics
1 Bulletin of the Australian Mathematical Society
...and 96 more Serials
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Cited in 37 Fields

1,255 Systems theory; control (93-XX)
305 Ordinary differential equations (34-XX)
214 Biology and other natural sciences (92-XX)
175 Linear and multilinear algebra; matrix theory (15-XX)
104 Operations research, mathematical programming (90-XX)
73 Probability theory and stochastic processes (60-XX)
65 Dynamical systems and ergodic theory (37-XX)
51 Computer science (68-XX)
42 Information and communication theory, circuits (94-XX)
32 Calculus of variations and optimal control; optimization (49-XX)
29 Numerical analysis (65-XX)
17 Mechanics of particles and systems (70-XX)
15 Difference and functional equations (39-XX)
13 Partial differential equations (35-XX)
13 Mechanics of deformable solids (74-XX)
8 Statistics (62-XX)
7 Real functions (26-XX)
7 Statistical mechanics, structure of matter (82-XX)
7 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
6 Combinatorics (05-XX)
5 Operator theory (47-XX)
3 General and overarching topics; collections (00-XX)
3 Optics, electromagnetic theory (78-XX)
2 Mathematical logic and foundations (03-XX)
2 Algebraic geometry (14-XX)
2 Integral equations (45-XX)
2 Fluid mechanics (76-XX)
1 Field theory and polynomials (12-XX)
1 Commutative algebra (13-XX)
1 Functions of a complex variable (30-XX)
1 Approximations and expansions (41-XX)
1 Integral transforms, operational calculus (44-XX)
1 Convex and discrete geometry (52-XX)
1 Classical thermodynamics, heat transfer (80-XX)
1 Quantum theory (81-XX)
1 Relativity and gravitational theory (83-XX)
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