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Volumn 48, Issue 1, 2003, Pages 2-17

Dynamical properties of hybrid automata

Author keywords

Continuity of solutions; Dynamical systems; Existence; Hybrid systems; LaSalle's principle; Lyapunov's indirect method; Uniqueness

Indexed keywords

COMPUTATIONAL METHODS; DISCRETE TIME CONTROL SYSTEMS; INVARIANCE; LINEARIZATION; LYAPUNOV METHODS; REAL TIME SYSTEMS; STABILITY;

EID: 0037252690     PISSN: 00189286     EISSN: None     Source Type: Journal    
DOI: 10.1109/TAC.2002.806650     Document Type: Article
Times cited : (699)

References (46)
  • 1
    • 0032050862 scopus 로고    scopus 로고
    • Conflict resolution for air traffic management: A study in multiagent hybrid systems
    • Apr.
    • C. Tomlin, G. Pappas, and S. Sastry, "Conflict resolution for air traffic management: A study in multiagent hybrid systems," IEEE Trans. Automat. Contr., vol. 43, pp. 509-521, Apr. 1998.
    • (1998) IEEE Trans. Automat. Contr. , vol.43 , pp. 509-521
    • Tomlin, C.1    Pappas, G.2    Sastry, S.3
  • 3
    • 0003106852 scopus 로고
    • Hybrid models for motion control systems
    • H. Trentelman and J. Willems, Eds. Boston, MA: Birkhäuser
    • R. W. Brockett, "Hybrid models for motion control systems," in Essays in Control: Perspectives in the Theory and Its Applications, H. Trentelman and J. Willems, Eds. Boston, MA: Birkhäuser, 1993, pp. 29-53.
    • (1993) Essays in Control: Perspectives in the Theory and Its Applications , pp. 29-53
    • Brockett, R.W.1
  • 5
    • 0001068806 scopus 로고    scopus 로고
    • Continuous-discrete interactions in chemical process plants
    • July
    • S. Engell, S. Kowalewski, C. Schultz, and O. Strusberg, "Continuous-discrete interactions in chemical process plants," Proc. IEEE, vol. 7, pp. 1050-1068, July 2000.
    • (2000) Proc. IEEE , vol.7 , pp. 1050-1068
    • Engell, S.1    Kowalewski, S.2    Schultz, C.3    Strusberg, O.4
  • 6
    • 4544282109 scopus 로고    scopus 로고
    • Control design of an automated highway system
    • July
    • R. Horowitz and P. Varaiya, "Control design of an automated highway system," Proc. IEEE, vol. 88, no. 7, pp. 913-925, July 2000.
    • (2000) Proc. IEEE , vol.88 , Issue.7 , pp. 913-925
    • Horowitz, R.1    Varaiya, P.2
  • 7
    • 0012786233 scopus 로고    scopus 로고
    • Optimal control of hybrid systems in manufacturing
    • July
    • D. L. Pepyne and C. G. Cassandras, "Optimal control of hybrid systems in manufacturing," Proc. IEEE, vol. 7, pp. 1108-1123, July 2000.]
    • (2000) Proc. IEEE , vol.7 , pp. 1108-1123
    • Pepyne, D.L.1    Cassandras, C.G.2
  • 9
    • 0034262409 scopus 로고    scopus 로고
    • Characterization of well-posedness of piecewise linear systems
    • Sept.
    • J. Imura and A. J. van der Schaft, "Characterization of well-posedness of piecewise linear systems," IEEE Trans. Automat. Contr., vol. 45, pp. 1600-1619, Sept. 2000.
    • (2000) IEEE Trans. Automat. Contr. , vol.45 , pp. 1600-1619
    • Imura, J.1    Van der Schaft, A.J.2
  • 10
    • 84974733635 scopus 로고    scopus 로고
    • On the existence of solutions to controlled hybrid automata
    • Hybrid Systems: Computation and Control, B. Krogh and N. Lynch, Eds. New York: Springer-Verlag
    • M. Lemmon, "On the existence of solutions to controlled hybrid automata," in Hybrid Systems: Computation and Control, B. Krogh and N. Lynch, Eds. New York: Springer-Verlag, 2000, vol. 1790, Lecture Notes in Computer Science, pp. 229-242.
    • (2000) Lecture Notes in Computer Science , vol.1790 , pp. 229-242
    • Lemmon, M.1
  • 12
    • 0003980169 scopus 로고    scopus 로고
    • Ph.D. dissertation, Dept. Elect. Eng., Univ. Einhoven, Einhoven, The Netherlands
    • M. Heemels, "Linear complementarity systems," Ph.D. dissertation, Dept. Elect. Eng., Univ. Einhoven, Einhoven, The Netherlands, 1999.
    • (1999) Linear Complementarity Systems
    • Heemels, M.1
  • 13
    • 0035400417 scopus 로고    scopus 로고
    • Equivalence of hybrid dynamical models
    • M. Heemels, B. De Schutter, and A. Bemporad, "Equivalence of hybrid dynamical models," Automatics, vol. 37, no. 7, pp. 1085-1091, 2001.
    • (2001) Automatics , vol.37 , Issue.7 , pp. 1085-1091
    • Heemels, M.1    De Schutter, B.2    Bemporad, A.3
  • 14
    • 0000829463 scopus 로고
    • Differential automata and their discrete simulators
    • L. Tavernini, "Differential automata and their discrete simulators," Nonlinear Anal., Theory, Meth. Appl., vol. 11, no. 6, pp. 665-683, 1987.
    • (1987) Nonlinear Anal., Theory, Meth. Appl. , vol.11 , Issue.6 , pp. 665-683
    • Tavernini, L.1
  • 15
    • 0032278488 scopus 로고    scopus 로고
    • Regularity of solutions and homotopy equivalence for hybrid systems
    • Tampa, FL
    • M. Broucke, "Regularity of solutions and homotopy equivalence for hybrid systems," presented at the IEEE Conf. Decision Control, Tampa, FL, 1998.
    • (1998) IEEE Conf. Decision Control
    • Broucke, M.1
  • 19
    • 0032050689 scopus 로고    scopus 로고
    • Stability theory for hybrid dynamical systems
    • Apr.
    • H. Ye, A. Michel, and L. Hou, "Stability theory for hybrid dynamical systems," IEEE Trans. Automat. Contr., vol. 43, pp. 461-474, Apr. 1998.
    • (1998) IEEE Trans. Automat. Contr. , vol.43 , pp. 461-474
    • Ye, H.1    Michel, A.2    Hou, L.3
  • 20
    • 0032047505 scopus 로고    scopus 로고
    • Multiple Lyapunov functions and other analysis tools for switched and hybrid systems
    • Apr.
    • M. S. Branicky, "Multiple Lyapunov functions and other analysis tools for switched and hybrid systems," IEEE Trans. Automat. Contr., vol. 43, pp. 475-482, Apr. 1998.
    • (1998) IEEE Trans. Automat. Contr. , vol.43 , pp. 475-482
    • Branicky, M.S.1
  • 21
    • 0032045898 scopus 로고    scopus 로고
    • Computation of piecewise quadratic lyapunov functions for hybrid systems
    • Apr.
    • M. Johansson and A. Rantzer, "Computation of piecewise quadratic lyapunov functions for hybrid systems," IEEE Trans. Automat. Contr., vol. 43, pp. 555-559, Apr. 1998.
    • (1998) IEEE Trans. Automat. Contr. , vol.43 , pp. 555-559
    • Johansson, M.1    Rantzer, A.2
  • 22
    • 33646910241 scopus 로고    scopus 로고
    • Perspectives and results on the stability and stabilizability of hybrid systems
    • July
    • R. De Carlo, M. Branicky, S. Pettersson, and B. Lennarston, "Perspectives and results on the stability and stabilizability of hybrid systems," Proc. IEEE, vol. 88, no. 7, pp. 1069-1082, July 2000.
    • (2000) Proc. IEEE , vol.88 , Issue.7 , pp. 1069-1082
    • De Carlo, R.1    Branicky, M.2    Pettersson, S.3    Lennarston, B.4
  • 23
    • 0001793018 scopus 로고    scopus 로고
    • Robust stabilizing control laws for a class of secong order switched systems
    • B. Hu, X. Xu, A. N. Michel, and P. J. Antsaklis, "Robust stabilizing control laws for a class of secong order switched systems," Syst. Control Lett., vol. 38, pp. 197-207, 1999.
    • (1999) Syst. Control Lett. , vol.38 , pp. 197-207
    • Hu, B.1    Xu, X.2    Michel, A.N.3    Antsaklis, P.J.4
  • 24
    • 0034692669 scopus 로고    scopus 로고
    • Stabilization of second order LTI switched systems
    • X. Xu and P. J. Antsaklis, "Stabilization of second order LTI switched systems," Int. J. Control, vol. 73, pp. 1261-1279, 2000.
    • (2000) Int. J. Control , vol.73 , pp. 1261-1279
    • Xu, X.1    Antsaklis, P.J.2
  • 25
    • 0002798225 scopus 로고
    • Control using logic-based switching
    • A. Isidori, Ed. New York: Springer-Verlag
    • A. S. Morse, "Control using logic-based switching," in Trends in Control. A European Perspective, A. Isidori, Ed. New York: Springer-Verlag, 1995, pp. 69-113.
    • (1995) Trends in Control. A European Perspective , pp. 69-113
    • Morse, A.S.1
  • 26
    • 0003674491 scopus 로고    scopus 로고
    • Ph.D. dissertation, Dept. Automatic Control, Lurid Inst. Technol., Lund, Sweden
    • M. Johansson, "Piecewise linear control systems," Ph.D. dissertation, Dept. Automatic Control, Lurid Inst. Technol., Lund, Sweden, 1999.
    • (1999) Piecewise Linear Control Systems
    • Johansson, M.1
  • 27
    • 0000333926 scopus 로고    scopus 로고
    • Discrete abstractions of hybrid systems
    • July
    • R. Alur, T. A. Henzinger, G. Lafferriere, and G. J. Pappas, "Discrete abstractions of hybrid systems," Proc. IEEE, vol. 88, no. 7, pp. 971-984, July 2000.
    • (2000) Proc. IEEE , vol.88 , Issue.7 , pp. 971-984
    • Alur, R.1    Henzinger, T.A.2    Lafferriere, G.3    Pappas, G.J.4
  • 29
    • 43049171144 scopus 로고    scopus 로고
    • In hybrid I/O automata
    • Hybrid Systems III, New York: Springer-Verlag
    • N. Lynch, R. Segala, F. Vaandrager, and H. B. Weinberg, "In hybrid I/O automata," in Hybrid Systems III. New York: Springer-Verlag, 1996, vol. 1066, LNCS, pp. 496-510.
    • (1996) LNCS , vol.1066 , pp. 496-510
    • Lynch, N.1    Segala, R.2    Vaandrager, F.3    Weinberg, H.B.4
  • 31
    • 0001369548 scopus 로고
    • On the dynamics of a rigid-block motion under harmonic forcing
    • S. J. Hogan, "On the dynamics of a rigid-block motion under harmonic forcing," Proc. Royal Society, A, vol. 425, pp. 441-476, 1989.
    • (1989) Proc. Royal Society, A , vol.425 , pp. 441-476
    • Hogan, S.J.1
  • 32
    • 0012833694 scopus 로고    scopus 로고
    • High-level modeling and analysis of the traffic alert and collision avoidance system (TCAS)
    • July
    • C. Livadas, J. Lygeros, and N. A. Lynch, "High-level modeling and analysis of the traffic alert and collision avoidance system (TCAS)," Proc. IEEE, vol. 88, no. 7, pp. 926-948, July 2000.
    • (2000) Proc. IEEE , vol.88 , Issue.7 , pp. 926-948
    • Livadas, C.1    Lygeros, J.2    Lynch, N.A.3
  • 33
    • 85031771187 scopus 로고
    • Automata for modeling real-time systems
    • Proc. Int. Coll. Automata, Languages, Programming (ICALP'90)
    • R. Alur and D. L. Dill, "Automata for modeling real-time systems," in Proc. Int. Coll. Automata, Languages, Programming (ICALP'90), vol. 443, Lecture Notes in Computer Science, 1990, pp. 322-335.
    • (1990) Lecture Notes in Computer Science , vol.443 , pp. 322-335
    • Alur, R.1    Dill, D.L.2
  • 34
    • 84948174778 scopus 로고    scopus 로고
    • On the power of non observable actions in timed automata
    • Proc. Actes du STACS'96
    • B. Bérard, P. Gastin, and A. Petit, "On the power of non observable actions in timed automata," in Proc. Actes du STACS'96, vol. 1046, Lecture Notes in Computer Science, 1996, pp. 257-268.
    • (1996) Lecture Notes in Computer Science , vol.1046 , pp. 257-268
    • Bérard, B.1    Gastin, P.2    Petit, A.3
  • 35
    • 84957871339 scopus 로고    scopus 로고
    • Modularity for timed and hybrid systems
    • Proc. CONCUR 97: Concurrency Theory
    • R. Alur and T. A. Henzinger, "Modularity for timed and hybrid systems," in Proc. CONCUR 97: Concurrency Theory, vol. 1243, Lecture Notes in Computer Science, 1997, pp. 74-88.
    • (1997) Lecture Notes in Computer Science , vol.1243 , pp. 74-88
    • Alur, R.1    Henzinger, T.A.2
  • 37
    • 84974691266 scopus 로고    scopus 로고
    • Toward a geometric theory of hybrid systems
    • Hybrid Systems: Computation and Control, B. Krogh and N. Lynch, Eds. New York: Springer-Verlag
    • S. Simić, K. H. Johansson, S. Sastry, and J. Lygeros, "Toward a geometric theory of hybrid systems," in Hybrid Systems: Computation and Control, B. Krogh and N. Lynch, Eds. New York: Springer-Verlag, 2000, vol. 1790, Lecture Notes in Computer and Control, pp. 421-436.
    • (2000) Lecture Notes in Computer and Control , vol.1790 , pp. 421-436
    • Simić, S.1    Johansson, K.H.2    Sastry, S.3    Lygeros, J.4
  • 38
    • 84974720016 scopus 로고    scopus 로고
    • Dynamical systems revisited: Hybrid systems with Zeno executions
    • Hybrid Systems: Computation and Control, New York: Springer-Verlag
    • J. Zhang, K. H. Johansson, J. Lygeros, and S. Sastry, "Dynamical systems revisited: Hybrid systems with Zeno executions," in Hybrid Systems: Computation and Control. New York: Springer-Verlag, 2000, vol. 1790, LNCS, pp. 451-464.
    • (2000) LNCS , vol.1790 , pp. 451-464
    • Zhang, J.1    Johansson, K.H.2    Lygeros, J.3    Sastry, S.4
  • 39
    • 0035971842 scopus 로고    scopus 로고
    • Zeno hybrid systems
    • _, "Zeno hybrid systems," Int. J. Robust Nonlinear Control, vol. 11, pp. 435-451, 2001.
    • (2001) Int. J. Robust Nonlinear Control , vol.11 , pp. 435-451
  • 41
    • 49949129712 scopus 로고
    • Stability theory for ordinary differential equations
    • J. P. LaSalle, "Stability theory for ordinary differential equations," J. Diff. Equat., vol. 4, pp. 57-65, 1968.
    • (1968) J. Diff. Equat. , vol.4 , pp. 57-65
    • Lasalle, J.P.1
  • 45
    • 0001392090 scopus 로고
    • Relay control systems optimized for various performance criteria
    • Moscow, Russia
    • A. T. Fuller, "Relay control systems optimized for various performance criteria," presented at the First World Congr. IFAC, Moscow, Russia, 1960.
    • (1960) First World Congr. IFAC
    • Fuller, A.T.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.