Edit Profile (opens in new tab) Broucke, Mireille E. Compute Distance To: Compute Author ID: broucke.mireille-e Published as: Broucke, Mireille E.; Broucke, Mireille Documents Indexed: 39 Publications since 1999, including 1 Book Co-Authors: 28 Co-Authors with 36 Joint Publications 565 Co-Co-Authors all top 5 Co-Authors 3 single-authored 7 Francis, Bruce Allen 5 Ornik, Melkior 3 Arapostathis, Aristotle 3 Di Benedetto, Maria Domenica 3 Di Gennaro, Stefano 3 Helwa, Mohamed K. 3 Lin, Zhiyun 3 Marshall, Joshua A. 3 Sangiovanni-Vincentelli, Alberto L. 2 Hamilton, Sarah C. 2 Krick, Laura 2 Roszak, Bartek 2 Smith, Stephen L. 1 Ashford, Graeme 1 D’Eleuterio, Gabriele M. T. 1 Fadaie, Farid 1 Ganness, Marcus 1 Mansouri, Abdol-Reza 1 Mason, Paolo 1 Moarref, Miad 1 Piccoli, Benedetto 1 Pugh, Charles Chapman 1 Schoellig, Angela P. 1 Semsar-Kazerooni, Elham 1 Simić, Slobodan N. 1 Sniderman, Adam C. 1 Turriff, John 1 Vukosavljev, Marijan all top 5 Serials 10 IEEE Transactions on Automatic Control 9 Automatica 4 SIAM Journal on Control and Optimization 4 Systems & Control Letters 2 International Journal of Control 1 Journal of Mathematical Analysis and Applications 1 MCSS. Mathematics of Control, Signals, and Systems 1 International Journal of Robust and Nonlinear Control 1 Computational and Applied Mathematics 1 Lecture Notes in Control and Information Sciences all top 5 Fields 35 Systems theory; control (93-XX) 6 Calculus of variations and optimal control; optimization (49-XX) 4 Ordinary differential equations (34-XX) 2 Mechanics of particles and systems (70-XX) 2 Operations research, mathematical programming (90-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Convex and discrete geometry (52-XX) 1 Differential geometry (53-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Numerical analysis (65-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 34 Publications have been cited 421 times in 316 Documents Cited by ▼ Year ▼ Local control strategies for groups of mobile autonomous agents. Zbl 1365.93208Lin, Zhiyun; Broucke, Mireille; Francis, Bruce 94 2004 Formations of vehicles in cyclic pursuit. Zbl 1366.91027Marshall, Joshua A.; Broucke, Mireille E.; Francis, Bruce A. 75 2004 Stabilisation of infinitesimally rigid formations of multi-robot networks. Zbl 1168.93306Krick, Laura; Broucke, Mireille E.; Francis, Bruce A. 65 2009 Pursuit formations of unicycles. Zbl 1121.93016Marshall, Joshua A.; Broucke, Mireille E.; Francis, Bruce A. 24 2006 A hierarchical cyclic pursuit scheme for vehicle networks. Zbl 1091.93550Smith, Stephen L.; Broucke, Mireille E.; Francis, Bruce A. 16 2005 Structural stability of piecewise smooth systems. Zbl 1121.37307Broucke, Mireille E.; Pugh, Charles C.; Simić, Slobodan N. 14 2001 Reach control on simplices by piecewise affine feedback. Zbl 1304.93034Broucke, Mireille E.; Ganness, Marcus 12 2014 Curve shortening and the rendezvous problem for mobile autonomous robots. Zbl 1366.93412Smith, Stephen L.; Broucke, Mireille E.; Francis, Bruce A. 12 2007 Necessary and sufficient conditions for reachability on a simplex. Zbl 1261.93015Roszak, Bartek; Broucke, Mireille E. 11 2006 Reach control on simplices by continuous state feedback. Zbl 1202.93036Broucke, Mireille E. 11 2010 Continuous selections of trajectories of hybrid systems. Zbl 1003.93030Broucke, Mireille; Arapostathis, Ari 10 2002 Reach controllability of single input affine systems on a simplex. Zbl 1360.93105Semsar-Kazerooni, Elham; Broucke, Mireille E. 8 2014 Time optimal swing-up of the planar pendulum. Zbl 1367.70046Mason, Paolo; Broucke, Mireille; Piccoli, Benedetto 8 2008 Time-varying affine feedback for reach control on simplices. Zbl 1319.93027Ashford, Graeme; Broucke, Mireille E. 6 2013 A geometric approach to bisimulation and verification of hybrid systems. Zbl 0928.93024Broucke, Mireille 5 1999 Stability and controllability of planar, conewise linear systems. Zbl 1108.93013Arapostathis, Ari; Broucke, Mireille E. 5 2007 Monotonic reach control on polytopes. Zbl 1369.93399Helwa, Mohamed K.; Broucke, Mireille E. 5 2013 On the least restrictive control for collision avoidance of two unicycles. Zbl 1106.93028Fadaie, Farid; Broucke, Mireille E. 4 2006 Geometric control of patterned linear systems. Zbl 1256.93004Hamilton, Sarah C.; Broucke, Mireille E. 4 2012 Flow functions, control flow functions, and the reach control problem. Zbl 1378.93020Helwa, Mohamed K.; Broucke, Mireille E. 4 2015 On the necessity of the invariance conditions for reach control on polytopes. Zbl 1335.93023Helwa, Mohamed K.; Lin, Zhiyun; Broucke, Mireille E. 3 2016 Continuous interpolation of solutions of Lipschitz inclusions. Zbl 0984.34009Broucke, Mireille; Arapostathis, Ari 3 2001 The regular indefinite linear quadratic optimal control problem: stabilizable case. Zbl 1381.49034Vukosavljev, Marijan; Schoellig, Angela P.; Broucke, Mireille E. 3 2018 An obstruction to solvability of the reach control problem using affine feedback. Zbl 1343.93013Moarref, Miad; Ornik, Melkior; Broucke, Mireille E. 3 2016 Reachability of a set of facets for linear affine systems with \(n-1\) inputs. Zbl 1366.93042Roszak, Bartek; Broucke, Mireille E. 3 2007 Theory of optimal control using bisimulations. Zbl 0963.93059Broucke, Mireille; Di Benedetto, Maria Domenica; Di Gennaro, Stefano; Sangiovanni-Vincentelli, Alberto 2 2000 On a reachability problem for affine hypersurface systems on polytopes. Zbl 1215.93018Lin, Zhiyun; Broucke, Mireille E. 2 2011 On a topological obstruction in the reach control problem. Zbl 1354.93023Ornik, Melkior; Broucke, Mireille E. 2 2016 Characterization of a topological obstruction to reach control by continuous state feedback. Zbl 1366.93040Ornik, Melkior; Broucke, Mireille E. 2 2017 Efficient solution of optimal control problems using hybrid systems. Zbl 1098.49027Broucke, Mireille; Di Benedetto, Maria Domenica; Di Gennaro, Stefano; Sangiovanni-Vincentelli, Alberto 1 2005 Optimal control using bisimulations: Implementation. Zbl 0995.49021Broucke, Mireille; Di Benedetto, Maria Domenica; Di Gennaro, Stefano; Sangiovanni-Vincentelli, Alberto 1 2002 Patterned linear systems. Zbl 1260.93071Hamilton, Sarah C.; Broucke, Mireille E. 1 2012 Symmetry invariance of multiagent formations in self-pursuit. Zbl 1367.93143Marshall, Joshua A.; Broucke, Mireille E. 1 2008 Chattering in the reach control problem. Zbl 1388.93019Ornik, Melkior; Broucke, Mireille E. 1 2018 The regular indefinite linear quadratic optimal control problem: stabilizable case. Zbl 1381.49034Vukosavljev, Marijan; Schoellig, Angela P.; Broucke, Mireille E. 3 2018 Chattering in the reach control problem. Zbl 1388.93019Ornik, Melkior; Broucke, Mireille E. 1 2018 Characterization of a topological obstruction to reach control by continuous state feedback. Zbl 1366.93040Ornik, Melkior; Broucke, Mireille E. 2 2017 On the necessity of the invariance conditions for reach control on polytopes. Zbl 1335.93023Helwa, Mohamed K.; Lin, Zhiyun; Broucke, Mireille E. 3 2016 An obstruction to solvability of the reach control problem using affine feedback. Zbl 1343.93013Moarref, Miad; Ornik, Melkior; Broucke, Mireille E. 3 2016 On a topological obstruction in the reach control problem. Zbl 1354.93023Ornik, Melkior; Broucke, Mireille E. 2 2016 Flow functions, control flow functions, and the reach control problem. Zbl 1378.93020Helwa, Mohamed K.; Broucke, Mireille E. 4 2015 Reach control on simplices by piecewise affine feedback. Zbl 1304.93034Broucke, Mireille E.; Ganness, Marcus 12 2014 Reach controllability of single input affine systems on a simplex. Zbl 1360.93105Semsar-Kazerooni, Elham; Broucke, Mireille E. 8 2014 Time-varying affine feedback for reach control on simplices. Zbl 1319.93027Ashford, Graeme; Broucke, Mireille E. 6 2013 Monotonic reach control on polytopes. Zbl 1369.93399Helwa, Mohamed K.; Broucke, Mireille E. 5 2013 Geometric control of patterned linear systems. Zbl 1256.93004Hamilton, Sarah C.; Broucke, Mireille E. 4 2012 Patterned linear systems. Zbl 1260.93071Hamilton, Sarah C.; Broucke, Mireille E. 1 2012 On a reachability problem for affine hypersurface systems on polytopes. Zbl 1215.93018Lin, Zhiyun; Broucke, Mireille E. 2 2011 Reach control on simplices by continuous state feedback. Zbl 1202.93036Broucke, Mireille E. 11 2010 Stabilisation of infinitesimally rigid formations of multi-robot networks. Zbl 1168.93306Krick, Laura; Broucke, Mireille E.; Francis, Bruce A. 65 2009 Time optimal swing-up of the planar pendulum. Zbl 1367.70046Mason, Paolo; Broucke, Mireille; Piccoli, Benedetto 8 2008 Symmetry invariance of multiagent formations in self-pursuit. Zbl 1367.93143Marshall, Joshua A.; Broucke, Mireille E. 1 2008 Curve shortening and the rendezvous problem for mobile autonomous robots. Zbl 1366.93412Smith, Stephen L.; Broucke, Mireille E.; Francis, Bruce A. 12 2007 Stability and controllability of planar, conewise linear systems. Zbl 1108.93013Arapostathis, Ari; Broucke, Mireille E. 5 2007 Reachability of a set of facets for linear affine systems with \(n-1\) inputs. Zbl 1366.93042Roszak, Bartek; Broucke, Mireille E. 3 2007 Pursuit formations of unicycles. Zbl 1121.93016Marshall, Joshua A.; Broucke, Mireille E.; Francis, Bruce A. 24 2006 Necessary and sufficient conditions for reachability on a simplex. Zbl 1261.93015Roszak, Bartek; Broucke, Mireille E. 11 2006 On the least restrictive control for collision avoidance of two unicycles. Zbl 1106.93028Fadaie, Farid; Broucke, Mireille E. 4 2006 A hierarchical cyclic pursuit scheme for vehicle networks. Zbl 1091.93550Smith, Stephen L.; Broucke, Mireille E.; Francis, Bruce A. 16 2005 Efficient solution of optimal control problems using hybrid systems. Zbl 1098.49027Broucke, Mireille; Di Benedetto, Maria Domenica; Di Gennaro, Stefano; Sangiovanni-Vincentelli, Alberto 1 2005 Local control strategies for groups of mobile autonomous agents. Zbl 1365.93208Lin, Zhiyun; Broucke, Mireille; Francis, Bruce 94 2004 Formations of vehicles in cyclic pursuit. Zbl 1366.91027Marshall, Joshua A.; Broucke, Mireille E.; Francis, Bruce A. 75 2004 Continuous selections of trajectories of hybrid systems. Zbl 1003.93030Broucke, Mireille; Arapostathis, Ari 10 2002 Optimal control using bisimulations: Implementation. Zbl 0995.49021Broucke, Mireille; Di Benedetto, Maria Domenica; Di Gennaro, Stefano; Sangiovanni-Vincentelli, Alberto 1 2002 Structural stability of piecewise smooth systems. Zbl 1121.37307Broucke, Mireille E.; Pugh, Charles C.; Simić, Slobodan N. 14 2001 Continuous interpolation of solutions of Lipschitz inclusions. Zbl 0984.34009Broucke, Mireille; Arapostathis, Ari 3 2001 Theory of optimal control using bisimulations. Zbl 0963.93059Broucke, Mireille; Di Benedetto, Maria Domenica; Di Gennaro, Stefano; Sangiovanni-Vincentelli, Alberto 2 2000 A geometric approach to bisimulation and verification of hybrid systems. Zbl 0928.93024Broucke, Mireille 5 1999 all cited Publications top 5 cited Publications all top 5 Cited by 600 Authors 17 Anderson, Brian David Outram 15 Broucke, Mireille E. 11 Ahn, Hyo-Sung 11 Lin, Zhiyun 11 Sun, Zhiyong 9 Yu, Changbin 7 Cao, Ming 7 Wang, Long 7 Yan, Gangfeng 5 Hong, Yiguang 5 Lee, Tong Heng 5 Ornik, Melkior 5 Ren, Wei 4 Cao, Yongcan 4 de Queiroz, Marcio S. 4 Deghat, Mohammad 4 Dimarogonas, Dimos V. 4 Feng, Gang 4 Helmke, Uwe R. 4 Hui, Qing 4 Mou, Shaoshuai 4 Park, Myoung-Chul 4 Teel, Andrew Richard 4 Wang, Xiaofan 3 Chen, Ben M. 3 Chen, Guanrong 3 Chen, Tongwen 3 Chu, Tianguang 3 Cortés, Jorge 3 Egerstedt, Magnus B. 3 Euzébio, Rodrigo D. 3 Francis, Bruce Allen 3 Ghose, Debasish 3 Goebel, Rafal 3 Helwa, Mohamed K. 3 Johansson, Karl Henrik 3 Liu, Lu 3 Liu, Tairan 3 Ntogramatzidis, Lorenzo 3 Oh, Kwang-Kyo 3 Padula, Fabrizio 3 Sun, Zhongqi 3 Teixeira, Marco Antonio 3 Wang, Qin 3 Xia, Yuanqing 3 Xie, Guangming 3 Zhao, Shiyu 3 Zheng, Ronghao 2 Abdollahi, Farzaneh 2 Aranda, Miguel 2 Ayoola, Ezekiel O. 2 Bai, Jing 2 Bakule, Lubomír 2 Balseiro, Paula 2 Başar, Tamer 2 Belabbas, Mohamed-Ali 2 Biemond, J. J. Benjamin 2 Bishop, Adrian N. 2 Boskos, Dimitris 2 Bullo, Francesco 2 Cabrera, Alejandro 2 Carli, Ruggero 2 Chen, Fei 2 Chen, Tianping 2 Chen, Xudong 2 Chen, Zhiyong 2 Cheng, Daizhan 2 Dai, Li 2 DeLellis, Pietro 2 Dey, Biswadip 2 Ding, Wei 2 Fagnani, Fabio 2 Feintuch, Avraham 2 Fierro, Rafael 2 Franzè, Giuseppe 2 Fu, Minyue 2 Galloway, Kevin S. 2 Garofalo, Franco 2 Ghods, Nima 2 Ghommam, Jawhar 2 Hara, Shinji 2 Hou, Jian 2 Hu, Guoqiang 2 Hu, Jiangping 2 Jeffrey, Mike R. 2 Jia, Yingmin 2 Jing, Gangshan 2 Jucá, Joaby S. 2 Kim, Tae-Hyoung 2 Koiller, Jair 2 Krstić, Miroslav 2 Kwon, Seong-Ho 2 Lageman, Christian 2 Lee, Heungwing Joseph 2 Li, Dequan 2 Lin, Feng 2 Lo Iudice, Francesco 2 López-Nicolás, Gonzalo 2 Lu, Jinhu 2 Lu, Wenlian ...and 500 more Authors all top 5 Cited in 61 Serials 91 Automatica 34 Systems & Control Letters 30 International Journal of Control 19 International Journal of Robust and Nonlinear Control 15 Journal of the Franklin Institute 11 SIAM Journal on Control and Optimization 7 Nonlinear Analysis. Hybrid Systems 6 European Journal of Control 6 Journal of Systems Science and Complexity 5 Nonlinear Dynamics 5 International Journal of Systems Science. Principles and Applications of Systems and Integration 4 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 4 Communications in Nonlinear Science and Numerical Simulation 3 MCSS. Mathematics of Control, Signals, and Systems 3 Mathematical Problems in Engineering 3 Journal of Control Science and Engineering 3 Asian Journal of Control 2 Journal of Mathematical Analysis and Applications 2 Journal of Differential Equations 2 Journal of Optimization Theory and Applications 2 Theoretical Computer Science 2 Mathematical and Computer Modelling 2 Neural Networks 2 Discrete Event Dynamic Systems 2 Journal of Nonlinear Science 2 SIAM Journal on Applied Dynamical Systems 2 São Paulo Journal of Mathematical Sciences 2 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 1 Acta Informatica 1 Applicable Analysis 1 Biological Cybernetics 1 Information Processing Letters 1 Journal of Mathematical Biology 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Bulletin of Mathematical Biology 1 Chaos, Solitons and Fractals 1 The Annals of Statistics 1 Geometriae Dedicata 1 Kybernetika 1 Mathematics and Computers in Simulation 1 Results in Mathematics 1 Theoretical Population Biology 1 Acta Applicandae Mathematicae 1 Journal of Parallel and Distributed Computing 1 Journal of Applied Mathematics and Stochastic Analysis 1 Journal of Intelligent & Robotic Systems 1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 1 Archives of Control Sciences 1 Set-Valued Analysis 1 Complexity 1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Discrete Dynamics in Nature and Society 1 CEJOR. Central European Journal of Operations Research 1 International Journal of Nonlinear Sciences and Numerical Simulation 1 Dynamical Systems 1 Journal of Machine Learning Research (JMLR) 1 Journal of Control Theory and Applications 1 Journal of Geometric Mechanics 1 Arabian Journal for Science and Engineering 1 Journal of Logical and Algebraic Methods in Programming all top 5 Cited in 27 Fields 268 Systems theory; control (93-XX) 97 Computer science (68-XX) 38 Ordinary differential equations (34-XX) 25 Calculus of variations and optimal control; optimization (49-XX) 18 Information and communication theory, circuits (94-XX) 16 Dynamical systems and ergodic theory (37-XX) 14 Combinatorics (05-XX) 14 Operations research, mathematical programming (90-XX) 13 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 11 Mechanics of particles and systems (70-XX) 7 Biology and other natural sciences (92-XX) 6 Numerical analysis (65-XX) 5 Probability theory and stochastic processes (60-XX) 3 Operator theory (47-XX) 3 Differential geometry (53-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Partial differential equations (35-XX) 2 Difference and functional equations (39-XX) 2 Functional analysis (46-XX) 2 Convex and discrete geometry (52-XX) 2 General topology (54-XX) 2 Statistics (62-XX) 2 Quantum theory (81-XX) 1 Mathematical logic and foundations (03-XX) 1 Nonassociative rings and algebras (17-XX) 1 Real functions (26-XX) 1 Global analysis, analysis on manifolds (58-XX) Citations by Year