[Ames, A. and Sastry, S. (2005). A homology theory for hybrid systems: Hybrid homology, in M. Morari and L. Thiele (Eds.), Hybrid Systems: Computation and Control, Lecture Notes in Computer Science, Vol. 3414, Springer-Verlag, Berlin/Heidelberg, pp. 86–102.10.1007/978-3-540-31954-2_6]Search in Google Scholar
[Balluchi, A., Benvenuti, L. and Sangiovanni-Vincentelli, A. (2005). Hybrid systems in automotive electronics design, 44th IEEE Conference on Decision and Control & 2005/2005 European Control Conference, CDC-ECC ’05, Seville, Spain, pp. 5618–5623.]Search in Google Scholar
[Blanchini, F. and Miani, S. (2008). Set-theoretic Methods in Control, Systems & Control: Foundations & Applications, Birkh¨auser, Boston, MA.10.1007/978-0-8176-4606-6]Search in Google Scholar
[Bredon, G.E. (1993). Topology and Geometry, Graduate Texts in Mathematics, Vol. 139, Springer-Verlag, New York, NY.]Search in Google Scholar
[Bujorianu, M.L. and Lygeros, J. (2006). Toward a general theory of stochastic hybrid systems, in H. Bloom and J. Lygeros (Eds.), Stochastic Hybrid Systems, Lecture Notes in Control and Information Sciences, Vol. 337, Springer, Berlin, pp. 3–30.10.1007/11587392_1]Search in Google Scholar
[Ding, J., Gillulay, J.H., Huang, H., Vitus, M.P., Zhang, W. and Tomlin, C. (2011). Hybrid systems in robotics, IEEE Robotics & Automation Magazine 18(3): 33–43.10.1109/MRA.2011.942113]Search in Google Scholar
[Goebel, R., Sanfelice, R.G. and Teel, A.R. (2009). Hybrid dynamical systems: Robust stability and control for systems that combine continuous-time and discrete-time dynamics, IEEE Control Systems Magazine 29(2): 28–93.10.1109/MCS.2008.931718]Search in Google Scholar
[Goebel, R. and Teel, A. R. (2006). Solutions to hybrid inclusions via set and graphical convergence with stability theory applications, Automatica 42(4): 573–587.10.1016/j.automatica.2005.12.019]Search in Google Scholar
[Gr¨unbaum, B. (2003). Convex Polytopes, 2nd Edn., Graduate Texts in Mathematics, Vol. 221, Springer-Verlag, New York, NY.]Search in Google Scholar
[Habets, L.C.G.J.M. and van Schuppen J.H. (2005). Control to facet problems for affine systems on simplices and polytopes—with applications to control of hybrid systems, Proceedings of the 44th IEEE Conference on Decision and Control, Seville, Spain, pp. 4175–4180.]Search in Google Scholar
[Haddad, W.M., Chellaboina, V. and Nersesov, S.G. (2006). Impulsive and Hybrid Dynamical Systems, Princeton Series in Applied Mathematics, Princeton University Press, Princeton, NJ.10.1515/9781400865246]Search in Google Scholar
[Heemels, W.P.M.H., De Schutter, B. and Bemporad, A. (2001). Equivalence of hybrid dynamical models, Automatica 37(7): 1085–1091.10.1016/S0005-1098(01)00059-0]Search in Google Scholar
[Hudson, J.F.P. (1969). Piecewise Linear Topology, University of Chicago Lecture Notes, W.A. Benjamin, Inc., New York, NY/Amsterdam.]Search in Google Scholar
[Johansson, M. and Rantzer, A. (1998). Computation of piecewise quadratic Lyapunov functions for hybrid systems, IEEE Transactions on Automatic Control 43(4): 555–559.10.1109/9.664157]Search in Google Scholar
[Kunze, M. (2000). Non-smooth Dynamical Systems, Lecture Notes in Mathematics, Vol. 1744, Springer-Verlag, Berlin.]Search in Google Scholar
[Lang, S. (1999). Fundamentals of Differential Geometry, Graduate Texts in Mathematics, Vol. 191, Springer-Verlag, New York, NY.]Search in Google Scholar
[Leine, R.I. and Nijmeijer, H. (2004). Dynamics and Bifurcations of Non-smooth Mechanical Systems, Lecture Notes in Applied and Computational Mechanics, Vol. 18, Springer-Verlag, Berlin.]Search in Google Scholar
[Leth, J. and Wisniewski, R. (2012). On formalism and stability of switched systems, Journal of Control Theory and Applications10(2): 176–183.10.1007/s11768-012-0138-3]Search in Google Scholar
[Liberzon, D. (2003). Switching in Systems and Control, Systems & Control: Foundations & Applications, Birkh¨auser, Boston, MA.10.1007/978-1-4612-0017-8]Search in Google Scholar
[Lygeros, J., Johansson, K.H., Simi´c, S.N., Zhang, J. and Sastry, S.S. (2003). Dynamical properties of hybrid automata, IEEE Transactions on Automatic Control48(1): 2–17.10.1109/TAC.2002.806650]Search in Google Scholar
[Munkres, J.R. (1975). Topology: A First Course, Prentice-Hall, Englewood Cliffs, NJ.]Search in Google Scholar
[Pettersson, S. and Lennartson, B. (2002). Hybrid system stability and robustness verification using linear matrix inequalities, International Journal of Control75(16): 1335–1355.10.1080/0020717021000023762]Search in Google Scholar
[Rantzer, A. and Johansson, M. (2000). Piecewise linear quadratic optimal control, IEEE Transactions on Automatic Control45(4): 629–637.10.1109/9.847100]Search in Google Scholar
[Rienm¨uller, T., Hofbaur, M., Trav´e-Massuyès, L. and Bayoudh, M. (2013). Mode set focused hybrid estimation, International Journal of Applied Mathematics and Computer Science23(1): 131–144, DOI: 10.2478/amcs-2013-0011.10.2478/amcs-2013-0011]Search in Google Scholar
[Simi´c, S.N., Johansson, K.H., Lygeros, J. and Sastry, S. (2005). Towards a geometric theory of hybrid systems, Dynamics of Continuous, Discrete & Impulsive Systems B: Applications & Algorithms12(5–6): 649–687.]Search in Google Scholar
[Sontag, E.D. (1981). Nonlinear regulation: The piecewise linear approach, IEEE Transactions on Automatic Control26(2): 346–358.10.1109/TAC.1981.1102596]Search in Google Scholar
[Tabuada, P. (2009). Verification and Control of Hybrid Systems, Springer, New York, NY.10.1007/978-1-4419-0224-5]Search in Google Scholar
[Tomlin, C., Pappas, G.J. and Sastry, S. (1998). Conflict resolution for air traffic management: A study in multiagent hybrid systems, IEEE Transactions on Automatic Control43(4): 509–521.10.1109/9.664154]Search in Google Scholar
[van der Schaft, A. and Schumacher, H. (2000). An Introduction to Hybrid Dynamical Systems, Lecture Notes in Control and Information Sciences, Vol. 251, Springer-Verlag, London.]Search in Google Scholar
[Wisniewski, R. (2006). Towards modelling of hybrid systems, 45th IEEE Conference on Decision and Control, San Diego, CA, USA, pp. 911–916.]Search in Google Scholar
[Wisniewski, R. and Leth, J. (2011). Convenient model for systems with hystereses-control, Proceedings of the 50th IEEE Conference on Decision and Control, Orlando, FL, USA.10.1109/CDC.2011.6161090]Search in Google Scholar
[Yang, H., Jiang, B., Cocquempot, V. and Chen, M. (2013). Spacecraft formation stabilization and fault tolerance: A state-varying switched system approach, System & Control Letters62(9): 715–722.10.1016/j.sysconle.2013.05.007]Search in Google Scholar
[Yang, H., Jiang, B., Cocquempot, V. and Zang, H. (2011). Stabilization of switched nonlinear systems with all unstable modes: Application to multi-agent systems, IEEE Transactions on Automatic Control56(9): 2230–2235.10.1109/TAC.2011.2157413]Search in Google Scholar
[Yordanov, B., T˚umov´Cern´a, J., ˇa, I., Barnat, J. and Belta, C. (2012). Temporal logic control of discrete-time piecewise affine systems, IEEE Transactions on Automatic Control57(6): 1491–1504.10.1109/TAC.2011.2178328]Search in Google Scholar