LMI toolbox

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


References in zbMATH (referenced in 1413 articles )

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  1. Bachelier, Olivier; Cluzeau, Thomas; Silva Alvarez, Francisco José; Yeganefar, Nima: Stability of one-dimensioned spatially interconnected systems (2020)
  2. Carniato, Leonardo Ataide; Carniato, Alexandre Ataide; Teixeira, Marcelo Carvalho Minhoto; Cardim, Rodrigo; Mainardi, Edson Italo Jr.; Assunção, Edvaldo: Output control of continuous-time uncertain switched linear systems via switched static output feedback (2020)
  3. Chaudhry, Afraz Mehmood; Arshad Uppal, Ali; Alsmadi, Yazan M.; Bhatti, Aamer Iqbal; Utkin, Vadim I.: Robust multi-objective control design for underground coal gasification energy conversion process (2020)
  4. Chen, Wenbin; Xu, Shengyuan; Li, Yongmin; Zhang, Zhengqiang: Stability analysis of neutral systems with mixed interval time-varying delays and nonlinear disturbances (2020)
  5. Duan, Ruirui; Li, Junmin: Finite-time distributed (H_\infty) filtering for Takagi-Sugeno fuzzy system with uncertain probability sensor saturation under switching network topology: non-PDC approach (2020)
  6. González, Antonio; Aragüés, Rosario; López-Nicolás, Gonzalo; Sagüés, Carlos: Predictor-feedback synthesis in coordinate-free formation control under time-varying delays (2020)
  7. Harshavarthini, S.; Sakthivel, R.; Ma, Yong-Ki; Muslim, M.: Finite-time resilient fault-tolerant investment policy scheme for chaotic nonlinear finance system (2020)
  8. Kim, Jisu; Kim, Hongkeun: Synchronization of Lur’e-type nonlinear systems in linear dynamical networks having fast convergence rate and large DC gain (2020)
  9. Li, Hongfei; Li, Chuandong; Huang, Junjian: A hybrid impulsive and sampled-data control framework for a class of nonlinear dynamical systems with input constraints (2020)
  10. Li, Rong; Pantelous, Athanasios A.; Yang, Lin: Robust analysis for premium-reserve models in a stochastic nonlinear discrete-time varying framework (2020)
  11. Meng, Xin; Zhai, Ding; Fu, Zhumu; Xie, Xiangpeng: Adaptive fault tolerant control for a class of switched nonlinear systems with unknown control directions (2020)
  12. Nagamani, G.; Shafiya, M.; Soundararajan, G.; Prakash, Mani: Robust state estimation for fractional-order delayed BAM neural networks via LMI approach (2020)
  13. Ping, Xubin; Yang, Sen; Ding, Baocang; Raïssi, Tarek; Li, Zhiwu: Observer-based output feedback robust MPC via zonotopic set-membership state estimation for LPV systems with bounded disturbances and noises (2020)
  14. Thuan, Mai Viet; Sau, Nguyen Huu; Huyen, Nguyen Thi Thanh: Finite-time (H_\infty) control of uncertain fractional-order neural networks (2020)
  15. Vadivel, R.; Syed Ali, M.; Hoon Joo, Young: Event-triggered (H_\infty) synchronization for switched discrete time delayed recurrent neural networks with actuator constraints and nonlinear perturbations (2020)
  16. Wang, Shiqin; Guo, Zhenyuan; Wen, Shiping; Huang, Tingwen: Global synchronization of coupled delayed memristive reaction-diffusion neural networks (2020)
  17. Wang, Yuxiao; Cao, Yuting; Guo, Zhenyuan; Wen, Shiping: Passivity and passification of memristive recurrent neural networks with multi-proportional delays and impulse (2020)
  18. Xie, Wei; He, Wei; Wu, WeiLin; Zhang, LangWen: Switching controller design for linear time invariant plant with a single I/O delay (2020)
  19. Zhang, Xiao-Wei; Wu, Huai-Ning: Switching state observer design for semilinear parabolic PDE systems with mobile sensors (2020)
  20. Aghili, Farhad: Modeling and analysis of multiple impacts in multibody systems under unilateral and bilateral constrains based on linear projection operators (2019)

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