MR and LTV Synthesis Tools swMATH ID: 5190 Software Authors: Pirie, Carol; Dullerud, Geir E. Description: MR and LTV Synthesis Tools Description MR-LTV Tools has commands in the following areas: H-infinity synthesis of multi-rate sampled data LTI systems using LMI synthesis methods H-infinity synthesis of discrete-time LTV systems using LMI synthesis methods System type conversion (i.e. multi-rate LTI to discrete-time LTV) LTV system balance, reduction, and truncation LTV stability and stabilizability through eigenvalue and LMI solution methods Discrete system data structure conversion Mathworks LMI Toolbox not required. One of two LMI solvers can be used: Mathworks LMI Toolbox (purchased separately) or xLMI (free, available below). Only one of the LMI solvers must be installed to use this software Homepage: https://wiki.cites.illinois.edu/wiki/display/mechsedullerud/MR+and+LTV+Synthesis+Tools?src=search Keywords: linear time-varying systems; robust control; design; time-varying systems; state-space results; small-gain theorem; operator inequalities; convex optimization; periodic systems; linear matrix inequality; robust sensitivity minimization Related Software: YALMIP; SeDuMi; LMI toolbox; Sostools; Matlab; SDPT3; HyEQ; Mosek; Mu Analysis and Synthesis Toolbox; DOT Cited in: 37 Documents Standard Articles 3 Publications describing the Software, including 3 Publications in zbMATH Year Robust controller synthesis for uncertain time-varying systems. Zbl 0998.93015Pirie, Carol; Dullerud, Geir E. 2002 An LMI solution to the robust synthesis problem for multi-rate sampled-data systems. Zbl 1031.93121Lall, Sanjay; Dullerud, Geir 2001 Asynchronous hybrid systems with jumps – analysis and synthesis methods. Zbl 1053.93503Dullerud, Geir E.; Lall, Sanjay 1999 all top 5 Cited by 78 Authors 5 Dullerud, Geir E. 3 Fridman, Emilia 3 Nešić, Dragan 2 Briat, Corentin 2 Cuenca, Ángel 2 Dačić, Dragan B. 2 Farhood, Mazen 2 Hetel, Laurentiu 2 Lall, Sanjay 2 Moarref, Miad 2 Pirie, Carol 2 Richard, Jean-Pierre 2 Rodrigues, Luis 2 Sala, Antonio 2 Salt, Julián 2 Seuret, Alexandre 2 Shaked, Uri 2 Suplin, Vladimir 1 Antunes, Duarte J. 1 Balasubramaniam, Pagavathigounder 1 Biryukov, Ruslan S. 1 Cai, Kaiyuan 1 Cantoni, Michael 1 Chen, Qizhe 1 Chen, Weisheng 1 Choi, Yoon Ho 1 Christofides, Panagiotis D. 1 Cunha, Rita 1 Daafouz, Jamal 1 Dai, Hao 1 Ding, Steven X. 1 Dong, Hongli 1 Donkers, M. C. F. 1 Dreef, H. J. 1 Feintuch, Avraham 1 Ferrante, Francesco 1 Fiter, Christophe 1 Gao, Huijun 1 Hu, Lisheng 1 Huang, Biao 1 Huang, Xia 1 Jia, Jinping 1 Jia, Xinchun 1 Jungers, Marc 1 Kim, Namhyun 1 Lee, Tae Hwi 1 Li, Jing 1 Li, Yuxia 1 Li, Zhong 1 Liu, Yurong 1 Ma, Weiwei 1 Mao, Weijie 1 Muñoz de la Peña, David 1 Niculescu, Silviu-Iulian 1 Omran, Hassan 1 Park, Juhyun (Jessie) 1 Park, Jin Bae 1 Park, Kwang Sung 1 Péni, Tamás 1 Pizá, Ricardo 1 Revathi, V. M. 1 Sandberg, Henrik 1 Sanfelice, Ricardo G. 1 Seiler, Peter J. 1 Shi, Peng 1 Silvestre, Carlos J. 1 Sun, Xiaoqiang 1 Tarbouriech, Sophie 1 Teel, Andrew Richard 1 Tortorelli, Daniel A. 1 Wang, Guizeng 1 Wang, Zidong 1 Yang, Dedong 1 Yao, Lan 1 Zhang, Dawei 1 Zhang, Ping 1 Zhou, Donghua 1 Zou, Lei all top 5 Cited in 15 Serials 11 Automatica 7 Systems & Control Letters 4 International Journal of Robust and Nonlinear Control 2 International Journal of Control 2 Mathematical Problems in Engineering 2 Nonlinear Dynamics 1 Journal of the Franklin Institute 1 Journal of Mathematical Analysis and Applications 1 Information Sciences 1 Mathematics and Computers in Simulation 1 SIAM Journal on Control and Optimization 1 Real-Time Systems 1 Automation and Remote Control 1 Abstract and Applied Analysis 1 International Journal of Systems Science. Principles and Applications of Systems and Integration all top 5 Cited in 7 Fields 37 Systems theory; control (93-XX) 3 Ordinary differential equations (34-XX) 3 Operations research, mathematical programming (90-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Information and communication theory, circuits (94-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Probability theory and stochastic processes (60-XX) Citations by Year