Approximate bisimulation relations for constrained linear systems
Tóm tắt
Từ khóa
Tài liệu tham khảo
Angeli, 2002, A Lyapunov approach to incremental stability properties, IEEE Transactions on Automatic Control, 47, 410, 10.1109/9.989067
Antoulas, 2000, A survey of model reduction methods for large-scale systems, Contemporary Mathematics, 280, 193, 10.1090/conm/280/04630
Asarin, E., Bournez, O., Dang, T., & Maler, O. (2000). Approximate reachability analysis of piecewise linear dynamical systems, In HSCC, Lecture Notes in Computer Science (Vol. 1790) (pp. 21–31). Berlin: Springer.
Aubin, J. P. (1991). Viability Theory. Birkhauser, 1991.
Chutinan, A., & Krogh, B. H. (1999). Verification of polyhedral invariant hybrid automata using polygonal flow pipe approximations. In HSCC, Lecture Notes in Computer Science (Vol. 1569) (pp. 76–90). Berlin: Springer.
Clarke, 2000
de Alfaro, L., Faella, M., & Stoelinga, M. (2004). Linear and branching metrics for quantitative transition systems. In ICALP’04, Lecture Notes in Computer Science (Vol. 3142): (pp. 1150–1162). Berlin: Springer.
Desharnais, 2004, Metrics for labelled markov processes, Theoretical Computer Science, 318, 323, 10.1016/j.tcs.2003.09.013
Freeman, 1996, Inverse optimality in robust stabilization, SIAM Journal on Control and Optimization, 34, 1365, 10.1137/S0363012993258732
Girard, A. (2005). Reachability of uncertain linear systems using zonotopes. In HSCC, Lecture Notes in Computer Science (Vol. 3414) (pp. 291–305). Berlin: Springer.
Girard, A., Julius, A. A., & Pappas, G. J. MATISSE (2005). 〈http://www.seas.upenn.edu/~agirard/Software/MATISSE/〉
Girard, A., & Pappas, G. J. (2005a). Approximate bisimulations for constrained linear systems. In Proceedings of CDC and ECC (pp. 4700–4705).
Girard, A., & Pappas, G. J. (2005b). Approximate bisimulations for nonlinear dynamical systems. In Proceedings of CDC and ECC (pp. 684–689).
Girard, 2007, Approximation metrics for discrete and continuous systems, IEEE Transaction on Automatic Control, 52, 782, 10.1109/TAC.2007.895849
Haghverdi, 2005, Bisimulation relations for dynamical, control, and hybrid systems, Theoretical Computer Science, 342, 229, 10.1016/j.tcs.2005.03.045
Han, Z., & Krogh, B. H. (2006). Reachability analysis of large-scale affine systems using low-dimensional polytopes. In HSCC, Lecture Notes in Computer Science (Vol. 3927) (pp. 287–301). Berlin: Springer.
Kurzhanski, A., & Varaiya, P. (2000). Ellipsoidal techniques for reachability analysis. In HSCC, Lecture Notes in Computer Science (Vol. 1790) Berlin: Springer.
Kvasnica, M., Grieder, P., & Baotić, M. (2004). Multi-parametric toolbox (MPT). 〈http://control.ee.ethz.ch/~mpt/〉.
Löfberg, J. (2004). YALMIP: a toolbox for modeling and optimization in MATLAB. In Proceedings of CACSD〈http://control.ee.ethz.ch/~joloef/yalmip.php〉.
Mitchell, I., & Tomlin, C. (2000). Level set methods for computation in hybrid systems. In HSCC, Lecture Notes in Computer Science (Vol. 1790) Berlin: Springer.
Pola, G., van der Schaft, A. J., & Di Benedetto, M. D. (2004). Bisimulation theory for switching linear systems. In Proceedings of CDC (pp. 555–569).
Sastry, 1999
Sontag, 2001, Lyapunov characterizations of input to output stability, SIAM Journal on Control and Optimization, 39, 226, 10.1137/S0363012999350213
Sturm, 1999, Using SEDUMI 1.02, a MATLAB toolbox for optimization over symmetric cones, Optimization Methods and Softwares, 11–12, 625, 10.1080/10556789908805766
van der Schaft, 2004, Equivalence of dynamical systems by bisimulation, IEEE Transactions on Automatic Control, 49, 2160, 10.1109/TAC.2004.838497
Wonham, 1979