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1. Full Text Continuous-time analysis, eigenstructure assignment, and H2 synthesis with enhanced linear matrix inequalities (LMI) characterizations
by Apkarian, Pierre and Tuan, Hoang Duong and Bernussou, Jacques
IEEE Transactions on Automatic Control, ISSN 0018-9286, 12/2001, Volume 46, Issue 12, pp. 1941 - 1946
[...] the approach offers new potentials for problems that cannot be handled using earlier techniques. 
Robust control | Multichannel synthesis | Eigenstructure assignment | Linear matrix inequalities (LMIs) | Robustness analysis | Studies
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2. Full Text Continuous-time analysis, eigenstructure assignment, and H-2 synthesis with enhanced linear matrix inequalities (LMI) characterizations
by Apkarian, PC and Tuan, HD and Bernussou, J
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, ISSN 0018-9286, 12/2001, Volume 46, Issue 12, pp. 1941 - 1946
This note describes a new framework for the analysis and synthesis of control systems, which constitutes a genuine continuous-time extension of results that... 
eigenstructure assignment | ROBUST-CONTROL | multichannel synthesis | OUTPUT-FEEDBACK | robust control | robustness analysis | CONSTRAINTS | SYSTEMS | linear matrix inequalities (LMIs) | DEPENDENT LYAPUNOV FUNCTIONS | AUTOMATION & CONTROL SYSTEMS | ENGINEERING, ELECTRICAL & ELECTRONIC
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3. Full Text Disturbance attenuation in a consensus network of identical linear systems: An ℋ∞ approach
by Oh, Kwang-Kyo and Moore, Kevin L and Ahn, Hyo-Sung
IEEE Transactions on Automatic Control, ISSN 0018-9286, 2014, Volume 59, Issue 8, pp. 2164 - 2169
Linear matrix inequality (LMI)
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4. Full Text LMI Techniques for Optimization Over Polynomials in Control: A Survey
by Chesi, Graziano
IEEE Transactions on Automatic Control, ISSN 0018-9286, 11/2010, Volume 55, Issue 11, pp. 2500 - 2510
Numerous tasks in control systems involve optimization problems over polynomials, and unfortunately these problems are in general nonconvex. In order to cope... 
Uncertain systems | Stability | Control system | Lyapunov method | Nonlinear control systems | Control systems | linear matrix inequality (LMI) | Linear matrix inequalities | Matrix decomposition | optimization | polynomial | positivity | Control system synthesis | Polynomials | Nonlinear systems | LINEAR-SYSTEMS | LTI SYSTEMS | LYAPUNOV FUNCTIONS | ROBUST PERFORMANCE ANALYSIS | SUM | VERIFICATIONS | ENGINEERING, ELECTRICAL & ELECTRONIC | STABILITY ANALYSIS | RELAXATIONS | GLOBAL OPTIMIZATION | SQUARES | AUTOMATION & CONTROL SYSTEMS | Liapunov functions | Usage | Matrices | Design and construction | Networks | Tasks | Genetics | Collection | Dynamical systems | Readers | Optimization
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5. Full Text LMI-based stability analysis for fuzzy-model-based control systems using artificial TS fuzzy model
by Lam, H.K
IEEE Transactions on Fuzzy Systems, ISSN 1063-6706, 06/2011, Volume 19, Issue 3, pp. 505 - 513
staircase membership functions | Fuzzy control | linear-matrix inequality (LMI) | stability analysis | TakagiSugeno (TS) fuzzy model
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6. Full Text Constrained H∞ control of active suspensions: An LMI approach
by Chen, Hong and Guo, Kong-Hui
IEEE Transactions on Control Systems Technology, ISSN 1063-6536, 05/2005, Volume 13, Issue 3, pp. 412 - 421
performance | Reachable set | Active suspensions | Time-domain constraints | Linear matrix inequality (LMI) optimization
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7. Full Text LMI-based relaxed nonquadratic stabilization conditions for nonlinear systems in the Takagi–Sugeno's form
by Guerra, Thierry Marie and Vermeiren, Laurent
Automatica, ISSN 0005-1098, 2004, Volume 40, Issue 5, pp. 823 - 829
This paper presents the stabilization analysis for a class of nonlinear systems that are represented by a Takagi and Sugeno (TS) discrete fuzzy model (Takagi... 
Linear matrix inequality (LMI) | Fuzzy models | Nonlinear control | Nonquadratic stabilization | Lyapunov function | QUADRATIC STABILITY | nonlinear control | nonquadratic stabilization | linear matrix inequality (LMI) | fuzzy models | FUZZY CONTROL | AUTOMATION & CONTROL SYSTEMS | ENGINEERING, ELECTRICAL & ELECTRONIC
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8. Full Text Reliable H ∞ control for discrete-time fuzzy systems with infinite-distributed delay
by Wu, Zheng-Guang and Shi, Peng and Su, Hongye and Chu, Jian
IEEE Transactions on Fuzzy Systems, ISSN 1063-6706, 02/2012, Volume 20, Issue 1, pp. 22 - 31
H | infinite-distributed delay | linear matrix inequality (LMI) | control | reliable control | Fuzzy systems
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9. Full Text H ∞ filtering for 2D Markovian jump systems
by Wu, Ligang and Shi, Peng and Gao, Huijun and Wang, Changhong
Automatica, ISSN 0005-1098, 2008, Volume 44, Issue 7, pp. 1849 - 1858
This paper is concerned with the problem of filtering for 2D discrete Markovian jump systems. The mathematical model of 2D jump systems is established upon the... 
[formula omitted] filtering | Markovian jump linear systems (MJLS) | 2D systems | Linear matrix inequality (LMI) | filtering
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10. Full Text Nonfragile Distributed Filtering for T-S Fuzzy Systems in Sensor Networks
by Dan Zhang and Wenjian Cai and Lihua Xie and Qing-Guo Wang
IEEE Transactions on Fuzzy Systems, ISSN 1063-6706, 10/2015, Volume 23, Issue 5, pp. 1883 - 1890
This paper is concerned with the nonfragile distributed H ∞ filtering problem for a class of discrete-time Takagi-Sugeno (T-S) systems in sensor networks.... 
Additives | Uncertainty | pole assignment | distributed H1 filtering | Noise | non-fragile filtering | Educational institutions | sensor networks | Linear matrix inequalities | Nonlinear systems | linear matrix inequality | Fuzzy systems | linearmatrix inequality (LMI) | Distributed H | filtering | nonfragile filtering | INFINITY | PACKET DROPOUTS | DESIGN | NONLINEAR-SYSTEMS | linear matrix inequality (LMI) | DELAY | Distributed H-infinity filtering | COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE | ENGINEERING, ELECTRICAL & ELECTRONIC | Networks | Errors | Filtration | Filtering | Asymptotic properties | Eigenvalues | Sensors
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11. Full Text LMI Solution for Robust Static Output Feedback Control of Discrete Takagi-Sugeno Fuzzy Models
by Chadli, M and Guerra, T. M
IEEE Transactions on Fuzzy Systems, ISSN 1063-6706, 12/2012, Volume 20, Issue 6, pp. 1160 - 1165
This paper deals with the stabilization problem of discrete-time Takagi-Sugeno (T-S) fuzzy systems via static output controller (SOFC). The proposed method... 
Takagi-Sugeno (T-S) fuzzy models | Static output control | Uncertainty | Symmetric matrices | Matrices | Robustness | strict linear matrix inequalities ( {\cal L}{\cal M}{\cal I}s ) | Linear matrix inequalities | Numerical models | uncertainties | strict linear matrix inequalities (LMI) | FORM | CONTROL DESIGN | OBSERVERS | DEPENDENT LYAPUNOV FUNCTIONS | COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE | ENGINEERING, ELECTRICAL & ELECTRONIC | strict linear matrix inequalities (LMIs) | H-INFINITY CONTROL | QUADRATIC STABILITY | NONQUADRATIC STABILIZATION CONDITIONS | NONLINEAR-SYSTEMS | UNCERTAINTY | REGULATORS
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12. Full Text Robust Stability and Stabilization of Fractional-Order Interval Systems: An LMI Approach
by Jun-Guo Lu and Guanrong Chen
IEEE Transactions on Automatic Control, ISSN 0018-9286, 06/2009, Volume 54, Issue 6, pp. 1294 - 1299
This technical note presents necessary and sufficient conditions for the stability and stabilization of fractional-order interval systems. The results are... 
Costs | Robust stability | robust stabilization | Quantization | interval system | Control systems | linear matrix inequality (LMI) | Linear matrix inequalities | Integral equations | Optimal control | Automatic control | Control system synthesis | Fractional-order system | Dynamic programming | Robust stabilization | Linear matrix inequality (LMI) | Interval system | UNCERTAIN LINEAR-SYSTEMS | CONTROLLERS | ALGORITHM | AUTOMATION & CONTROL SYSTEMS | robust stability | ENGINEERING, ELECTRICAL & ELECTRONIC | Matrices | Stability | Research | Observations | Methods | Intervals | Stabilization
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13. Full Text Mode-dependent H ∞ filtering for discrete-time Markovian jump linear systems with partly unknown transition probabilities
by Zhang, Lixian and Boukas, El-Kébir
Automatica, ISSN 0005-1098, 2009, Volume 45, Issue 6, pp. 1462 - 1467
In this paper, the problem of filtering for a class of discrete-time Markovian jump linear systems (MJLS) with partly unknown transition probabilities is... 
[formula omitted] filtering | Markovian jump linear systems | Partly unknown transition probabilities | Linear matrix inequality (LMI) | filtering | Linear systems | Mechanical engineering
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14. Full Text Output feedback LMI tracking control conditions with H ∞ criterion for uncertain and disturbed T–S models
by Mansouri, B and Manamanni, N and Guelton, K and Kruszewski, A and Guerra, T.M
Information Sciences, ISSN 0020-0255, 2009, Volume 179, Issue 4, pp. 446 - 457
This work concerns the tracking problem of uncertain Takagi–Sugeno (T–S) continuous fuzzy model with external disturbances. The objective is to get a model... 
Fuzzy Takagi–Sugeno models | Tracking control | Linear matrix inequality (LMI) | H∞ criterion | Output feedback | Quadratic stability | Fuzzy Takagi-Sugeno models | criterion
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15. Full Text H∞ LMI-Based Observer Design for Nonlinear Systems via Takagi-Sugeno Models With Unmeasured Premise Variables
by Guerra, Thierry Marie and Marquez, Raymundo and Kruszewski, Alexandre and Bernal, Miguel
IEEE Transactions on Fuzzy Systems, ISSN 1063-6706, 06/2018, Volume 26, Issue 3, pp. 1498 - 1509
nonlinear systems | unmeasured premise variables | linear matrix inequality (LMI) | state estimation | Differential mean value theorem (DMVT) | exact polytopic representation
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16. Full Text LMI relaxations for reduced-order robust H ∞ control of continuous-time uncertain linear systems
by Agulhari, Cristiano M and Oliveira, Ricardo C.L.F and Peres, Pedro L.D
IEEE Transactions on Automatic Control, ISSN 0018-9286, 2012, Volume 57, Issue 6, pp. 1532 - 1537
polynomial Lyapunov functions | control | dynamic output feedback | reduced order controllers | Continuous-time systems | linear matrix inequality (LMI) relaxations
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17. Full Text Distributed H∞ Output-Feedback Control for Consensus of Heterogeneous Linear Multiagent Systems with Aperiodic Sampled-Data Communications
by Zhang, Dan and Xu, Zhenhua and Karimi, Hamid Reza and Wang, Qing-Guo and Yu, Li
IEEE Transactions on Industrial Electronics, ISSN 0278-0046, 05/2018, Volume 65, Issue 5, pp. 4145 - 4155
consensus | switched systems | Aperiodic sampling | linear matrix inequality (LMI) | robust control | multiagent systems
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18. Full Text Delay-Dependent Robust H∞ and L2-L ∞ Filtering for a Class of Uncertain Nonlinear Time-Delay Systems
by Gao, Huijun and Wang, Changhong
IEEE Transactions on Automatic Control, ISSN 0018-9286, 09/2003, Volume 48, Issue 9, pp. 1661 - 1665
Time-delay systems | Filter design | Linear matrix inequality (LMI)
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19. Full Text Parameter-Dependent LMIs in Robust Analysis: Characterization of Homogeneous Polynomially Parameter-Dependent Solutions Via LMI Relaxations
by Oliveira, R.C.L and Peres, P.L.D
IEEE Transactions on Automatic Control, ISSN 0018-9286, 07/2007, Volume 52, Issue 7, pp. 1334 - 1340
This note investigates the robust stability of uncertain linear time-invariant systems in polytopic domains by means of parameter-dependent linear matrix... 
Uncertainty | Robust stability | Control design | Control system analysis | Lyapunov method | Linear matrix inequalities | Design optimization | Robust control | polytopic systems | time-invariant uncertainty | Robustness | Polynomials | Linear matrix inequality (LMI) | parameter-dependent Lyapunov function | Polytopic systems | Parameter-dependent Lyapunov function | Time-invariant uncertainty | LINEAR-SYSTEMS | LYAPUNOV FUNCTIONS | D-STABILITY | UNCERTAINTY | linear matrix inequality (LMI) | OPTIMIZATION | AUTOMATION & CONTROL SYSTEMS | robust stability | ENGINEERING, ELECTRICAL & ELECTRONIC | Liapunov functions | Usage | Analysis | Studies | Algebra | Effectiveness | Lyapunov functions | Stability | Automatic control | Palladium | Representations
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20. Full Text Nonquadratic Stabilization of Continuous T-S Fuzzy Models: LMI Solution for a Local Approach
by Jun-Tao Pan and Guerra, T. M and Shu-Min Fei and Jaadari, A
IEEE Transactions on Fuzzy Systems, ISSN 1063-6706, 06/2012, Volume 20, Issue 3, pp. 594 - 602
This paper is concerned with nonquadratic stabilization design problem for continuous-time nonlinear models in the Takagi-Sugeno (T-S) form obtained by sector... 
local stabilization condition | Symmetric matrices | Continuous-time Takagi-Sugeno (T-S) fuzzy models | nonquadratic Lyapunov function (NQLF) | Educational institutions | linear matrix inequality (LMI) | Stability analysis | Vectors | Trajectory | Lyapunov methods | Fuzzy systems | Nonquadratic Lyapunov function (NQLF) | Linear matrix inequality (LMI) | Local stabilization condition | CONTROL-SYSTEM DESIGN | FORM | PERFORMANCE | TAKAGI-SUGENO MODELS | LYAPUNOV FUNCTION-APPROACH | COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE | ENGINEERING, ELECTRICAL & ELECTRONIC | REDUCTION | QUADRATIC-STABILITY | Studies | Optimization techniques | Fuzzy logic | Design engineering | Stabilization | Nonlinearity | Mathematical models | Derivatives | Fuzzy | Optimization
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