메뉴 건너뛰기




Volumn 53, Issue 5, 2008, Pages 1133-1146

A framework for robust stability of systems over finite alphabets

Author keywords

Dissipative system; Finite state machine; Incremental stability; Input output stability; Shortest path problem; Small gain theorem; Storage functions; System over finite alphabet

Indexed keywords

COMPUTER NETWORKS; DIGITAL CONTROL SYSTEMS; DISCRETE TIME CONTROL SYSTEMS; EQUIVALENCE CLASSES; SET THEORY;

EID: 51749118275     PISSN: 00189286     EISSN: None     Source Type: Journal    
DOI: 10.1109/TAC.2008.923658     Document Type: Article
Times cited : (63)

References (44)
  • 1
    • 0033097583 scopus 로고    scopus 로고
    • Stabilization of nonholonomic integrators via logic-based switching
    • J. P. Hespanha and A. S. Morse, "Stabilization of nonholonomic integrators via logic-based switching," Automatica, vol. 35, pp. 385-393, 1999.
    • (1999) Automatica , vol.35 , pp. 385-393
    • Hespanha, J.P.1    Morse, A.S.2
  • 2
    • 16244397028 scopus 로고    scopus 로고
    • Stabilization of nonlinear systems with limited information feedback
    • Jun
    • D. Liberzon and J. P. Hespanha, "Stabilization of nonlinear systems with limited information feedback," IEEE Trans. Autom. Control, vol. 50, pp. 910-915, Jun. 2005.
    • (2005) IEEE Trans. Autom. Control , vol.50 , pp. 910-915
    • Liberzon, D.1    Hespanha, J.P.2
  • 3
    • 0033311181 scopus 로고    scopus 로고
    • Basic problems in stability and design of switched systems
    • D. Liberzon and A. S. Morse, "Basic problems in stability and design of switched systems," IEEE Control Syst. Mag., vol. 19, pp. 59-70, 1999.
    • (1999) IEEE Control Syst. Mag , vol.19 , pp. 59-70
    • Liberzon, D.1    Morse, A.S.2
  • 5
    • 0035439608 scopus 로고    scopus 로고
    • Stabilization of linear systems with limited information
    • N. Elia and S. K. Mitter, "Stabilization of linear systems with limited information," IEEE Trans. Autom. Control, vol. 46, no. 9, pp. 1384-1400, 2001.
    • (2001) IEEE Trans. Autom. Control , vol.46 , Issue.9 , pp. 1384-1400
    • Elia, N.1    Mitter, S.K.2
  • 6
    • 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. Autom. Control, vol. 43, pp. 461-474, Apr. 1998.
    • (1998) IEEE Trans. Autom. Control , vol.43 , pp. 461-474
    • Ye, H.1    Michel, A.2    Hou, L.3
  • 7
    • 33646910241 scopus 로고    scopus 로고
    • Perspectives and results on the stability and stabilizability of hybrid systems
    • Jul
    • R. Decarlo, 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, Jul. 2000.
    • (2000) Proc. IEEE , vol.88 , Issue.7 , pp. 1069-1082
    • Decarlo, R.1    Branicky, M.2    Pettersson, S.3    Lennarston, B.4
  • 8
    • 0032050207 scopus 로고    scopus 로고
    • Algorithmic analysis of nonlinear hybrid systems
    • Apr
    • T. Henzinger, P.-H. Ho, and H. Wong-Toi, "Algorithmic analysis of nonlinear hybrid systems," IEEE Trans. Autom. Control, vol. 43, no. 4, pp. 540-544, Apr. 1998.
    • (1998) IEEE Trans. Autom. Control , vol.43 , Issue.4 , pp. 540-544
    • Henzinger, T.1    Ho, P.-H.2    Wong-Toi, H.3
  • 10
    • 0001068806 scopus 로고    scopus 로고
    • Continuous-discrete interactions in chemical processing plants
    • Jul
    • S. Engell, S. Kowalewski, C. Schulz, and O. Stursberg, "Continuous-discrete interactions in chemical processing plants," Proc. IEEE, vol. 88, no. 7, pp. 1050-1068, Jul. 2000.
    • (2000) Proc. IEEE , vol.88 , Issue.7 , pp. 1050-1068
    • Engell, S.1    Kowalewski, S.2    Schulz, C.3    Stursberg, O.4
  • 11
    • 4544282109 scopus 로고    scopus 로고
    • Control design of an automated highway system
    • Jul
    • R. Horowitz and P. Varaiya, "Control design of an automated highway system," Proc. IEEE, vol. 88, no. 7, pp. 913-925, Jul. 2000.
    • (2000) Proc. IEEE , vol.88 , Issue.7 , pp. 913-925
    • Horowitz, R.1    Varaiya, P.2
  • 12
    • 0012786233 scopus 로고    scopus 로고
    • Optimal control of hybrid systems in manufacturing
    • Jul
    • D. Pepyne and C. Cassandras, "Optimal control of hybrid systems in manufacturing," Proc. IEEE, vol. 88, pp. 1108-1123, Jul. 2000.
    • (2000) Proc. IEEE , vol.88 , pp. 1108-1123
    • Pepyne, D.1    Cassandras, C.2
  • 13
    • 0032050862 scopus 로고    scopus 로고
    • Conflict resolution for air traffic management: A study in multi-agent hybrid systems
    • Apr
    • C. Tomlin, G. J. Pappas, and S. Sastry, "Conflict resolution for air traffic management: A study in multi-agent hybrid systems," IEEE Trans. Autom. Control, vol. 43, no. 4, pp. 509-521, Apr. 1998.
    • (1998) IEEE Trans. Autom. Control , vol.43 , Issue.4 , pp. 509-521
    • Tomlin, C.1    Pappas, G.J.2    Sastry, S.3
  • 15
    • 84944196766 scopus 로고    scopus 로고
    • Lateral inhibition through delta-notch signaling: A piecewise affine hybrid model
    • Hybrid Systems: Computation and Control, D. D. Benedetto and A. Sangiovanni-Vincentelli, Eds. Berlin, Germany: Springer-Verlag
    • R. Ghosh and C. Tomlin, "Lateral inhibition through delta-notch signaling: A piecewise affine hybrid model," in Hybrid Systems: Computation and Control, ser. Lecture Notes in Computer Science, M. D. D. Benedetto and A. Sangiovanni-Vincentelli, Eds. Berlin, Germany: Springer-Verlag, 2001, pp. 232-246, no. 2034.
    • (2001) ser. Lecture Notes in Computer Science , vol.1000 , Issue.2034 , pp. 232-246
    • Ghosh, R.1    Tomlin, C.2
  • 18
    • 0031162465 scopus 로고    scopus 로고
    • System analysis via integral quadratic constraints
    • A. Megretski and A. Rantzer, "System analysis via integral quadratic constraints," IEEE Trans. Autom. Control, vol. 47, no. 6, pp. 819-830, 1997.
    • (1997) IEEE Trans. Autom. Control , vol.47 , Issue.6 , pp. 819-830
    • Megretski, A.1    Rantzer, A.2
  • 19
    • 84938017582 scopus 로고
    • On the input-output stability of time-varying nonlinear feedback systems. Part I: Conditions using concepts of loop gain, conicity and positivity
    • G. Zames, "On the input-output stability of time-varying nonlinear feedback systems. Part I: Conditions using concepts of loop gain, conicity and positivity," IEEE Trans. Autom. Control, vol. 11, pp. 228-238, 1966.
    • (1966) IEEE Trans. Autom. Control , vol.11 , pp. 228-238
    • Zames, G.1
  • 20
    • 51749121317 scopus 로고
    • The S-procedure in nonlinear control theory, Transl.: 1971, english Translation in Vestnik Leningrad Univ. Math
    • V. A. Yakubovich, "The S-procedure in nonlinear control theory," Transl.: 1971, english Translation in Vestnik Leningrad Univ. Math. Vestnik Leningradskovo Universiteta, Seriya Matematika, vol. 4, no. 73-93, pp. 62-11, 1977.
    • (1977) Vestnik Leningradskovo Universiteta, Seriya Matematika , vol.4 , Issue.73-93 , pp. 62-11
    • Yakubovich, V.A.1
  • 21
    • 0001253761 scopus 로고
    • Power distribution inequalities in optimization and robustness of uncertain systems
    • Mar
    • A. Megretski and S. Treil, "Power distribution inequalities in optimization and robustness of uncertain systems," J. Math. Syst., Est., Control, vol. 3, no. 3, pp. 301-319, Mar. 1993.
    • (1993) J. Math. Syst., Est., Control , vol.3 , Issue.3 , pp. 301-319
    • Megretski, A.1    Treil, S.2
  • 22
    • 33745769072 scopus 로고    scopus 로고
    • Stability analysis of hybrid systems via small-gain theorems
    • Hybrid Systems: Computation and Control, J. Hespanha and A. Tiwari, Eds. Berlin, Germany: Springer-Verlag
    • D. Liberzon and D. Nesic, "Stability analysis of hybrid systems via small-gain theorems," in Hybrid Systems: Computation and Control, ser. Lecture Notes in Computer Science, J. Hespanha and A. Tiwari, Eds. Berlin, Germany: Springer-Verlag, 2006, pp. 421-435.
    • (2006) ser. Lecture Notes in Computer Science , pp. 421-435
    • Liberzon, D.1    Nesic, D.2
  • 24
    • 38049156022 scopus 로고    scopus 로고
    • A Finite State Machine Framework for Robust Analysis and Control of Hybrid Systems,
    • Ph.D. dissertation, Dep. Mech. Eng, Mass. Inst. Technol, Cambridge, MA, Jun
    • D. C. Tarraf, "A Finite State Machine Framework for Robust Analysis and Control of Hybrid Systems," Ph.D. dissertation, Dep. Mech. Eng., Mass. Inst. Technol., Cambridge, MA, Jun. 2006.
    • (2006)
    • Tarraf, D.C.1
  • 26
    • 27144548494 scopus 로고    scopus 로고
    • Discrete abstractions for robot planning and control in polygonal environments
    • C. Belta, V. Isler, and G. Pappas, "Discrete abstractions for robot planning and control in polygonal environments," IEEE Trans. Robotics, vol. 21, no. 5, pp. 864-874, 2005.
    • (2005) IEEE Trans. Robotics , vol.21 , Issue.5 , pp. 864-874
    • Belta, C.1    Isler, V.2    Pappas, G.3
  • 27
    • 34249005820 scopus 로고    scopus 로고
    • Approximation metrics for discrete and continuous systems
    • May
    • A. Girard and G. J. Pappas, "Approximation metrics for discrete and continuous systems," IEEE Trans. Autom. Control, vol. 52, no. 5, pp. 782-798, May 2007.
    • (2007) IEEE Trans. Autom. Control , vol.52 , Issue.5 , pp. 782-798
    • Girard, A.1    Pappas, G.J.2
  • 28
    • 34347343847 scopus 로고    scopus 로고
    • Approximate bisimulation relations for constrained linear systems
    • Aug
    • A. Girard and G. Pappas, "Approximate bisimulation relations for constrained linear systems," Automatica, vol. 43, no. 8, pp. 1307-1317, Aug. 2007.
    • (2007) Automatica , vol.43 , Issue.8 , pp. 1307-1317
    • Girard, A.1    Pappas, G.2
  • 29
    • 33745770664 scopus 로고    scopus 로고
    • A. Julius, Approximate abstraction of stochastic hybrid automata, in Hybrid Systems: Computation and Control, ser. Lecture Notes in Computer Science, J. Hespanha and A. Tiwari, Eds. Berlin, Germany: Springer-Verlag, 2006, pp. 318-332, 3927.
    • A. Julius, "Approximate abstraction of stochastic hybrid automata," in Hybrid Systems: Computation and Control, ser. Lecture Notes in Computer Science, J. Hespanha and A. Tiwari, Eds. Berlin, Germany: Springer-Verlag, 2006, pp. 318-332, 3927.
  • 30
    • 33745728854 scopus 로고    scopus 로고
    • Symbolic control of linear systems based on symbolic subsystems
    • Jun
    • P. Tabuada, "Symbolic control of linear systems based on symbolic subsystems," IEEE Trans. Autom. Control, vol. 51, no. 6, pp. 1003-1013, Jun. 2006.
    • (2006) IEEE Trans. Autom. Control , vol.51 , Issue.6 , pp. 1003-1013
    • Tabuada, P.1
  • 31
    • 33846708931 scopus 로고    scopus 로고
    • Symbolic models for control systems
    • P. Tabuada, "Symbolic models for control systems," Acta Informatica vol. 43, pp. 477-500, 2007.
    • (2007) Acta Informatica , vol.43 , pp. 477-500
    • Tabuada, P.1
  • 32
    • 84974695551 scopus 로고    scopus 로고
    • M. Egerstedt, N. A. Lynch and B. H. Krogh, Eds., Behavior based robotics using hybrid automata, in Hybrid Systems: Computation and Control, ser. Lecture Notes in Computer Science. Berlin, Germany: Springer-Verlag, 2000, pp. 103-116, 1790.
    • M. Egerstedt,, N. A. Lynch and B. H. Krogh, Eds., "Behavior based robotics using hybrid automata," in Hybrid Systems: Computation and Control, ser. Lecture Notes in Computer Science. Berlin, Germany: Springer-Verlag, 2000, pp. 103-116, 1790.
  • 33
    • 51749121107 scopus 로고    scopus 로고
    • J. S. Baras and M. R. James, Robust and Risk-Sensitive Output Feedback Control for Finite State Machines and Hidden Markov Models, University of Maryland, College Park, MD 20742, ISR, Tech. Res. Rep., 1994, pp. 1994-1963.
    • J. S. Baras and M. R. James, Robust and Risk-Sensitive Output Feedback Control for Finite State Machines and Hidden Markov Models, University of Maryland, College Park, MD 20742, ISR, Tech. Res. Rep., 1994, pp. 1994-1963.
  • 34
    • 38049101474 scopus 로고    scopus 로고
    • D. C. Tarraf, A. Megretski, and M. A. Dahleh, A. Bemporad, A. Bicchi, and G. Buttazzo, Eds., Finite state controllers for stabilizing switched systems with binary sensors, in Hybrid Systems: Computation and Control, ser. Lecture Notes in Computer Science. Berlin, Germany: Springer-Verlag, Apr. 2007, pp. 543-556, 2034,.
    • D. C. Tarraf, A. Megretski, and M. A. Dahleh,, A. Bemporad, A. Bicchi, and G. Buttazzo, Eds., "Finite state controllers for stabilizing switched systems with binary sensors," in Hybrid Systems: Computation and Control, ser. Lecture Notes in Computer Science. Berlin, Germany: Springer-Verlag, Apr. 2007, pp. 543-556, 2034,.
  • 35
    • 0004178386 scopus 로고    scopus 로고
    • 3rd ed. Upper Saddle River, NJ: Prentice Hall
    • H. K. Khalil, Nonlinear Systems, 3rd ed. Upper Saddle River, NJ: Prentice Hall, 2002.
    • (2002) Nonlinear Systems
    • Khalil, H.K.1
  • 36
    • 34250464350 scopus 로고
    • Dissipative dynamical systems - Part I: General theory
    • J. C. Willems, "Dissipative dynamical systems - Part I: General theory," Arch. Rotational Mech. Analy., vol. 45, pp. 321-351, 1972.
    • (1972) Arch. Rotational Mech. Analy , vol.45 , pp. 321-351
    • Willems, J.C.1
  • 37
    • 0036493650 scopus 로고    scopus 로고
    • A Lyapunov approach to incremental stability properties
    • Mar
    • D. Angeli, "A Lyapunov approach to incremental stability properties," IEEE Trans. Autom. Control, vol. 47, no. 3, pp. 410-421, Mar. 2002.
    • (2002) IEEE Trans. Autom. Control , vol.47 , Issue.3 , pp. 410-421
    • Angeli, D.1
  • 39
    • 0027708789 scopus 로고
    • Differential stability and robust control of nonlinear systems
    • T. Georgiou, "Differential stability and robust control of nonlinear systems," Math. Control, Signals Syst., vol. 6, no. 4, pp. 289-306, 1993.
    • (1993) Math. Control, Signals Syst , vol.6 , Issue.4 , pp. 289-306
    • Georgiou, T.1
  • 40
    • 0036505787 scopus 로고    scopus 로고
    • A small gain theorem with applications to input/output systems, incremental stability, detectability and interconnections
    • B. Ingalls and E. D. Sontag, "A small gain theorem with applications to input/output systems, incremental stability, detectability and interconnections," J. Franklin Inst., vol. 339, no. 2, pp. 211-229, 2002.
    • (2002) J. Franklin Inst , vol.339 , Issue.2 , pp. 211-229
    • Ingalls, B.1    Sontag, E.D.2
  • 41
    • 14344262614 scopus 로고    scopus 로고
    • Finite automata approximations with error bounds for systems with quantized actuation and measurement: A case study
    • Paradise Island, Bahamas, Dec
    • D. C. Tarraf, A. Megretski, and M. A. Dahleh, "Finite automata approximations with error bounds for systems with quantized actuation and measurement: A case study," in Proc. Conf. Dec. Control, Paradise Island, Bahamas, Dec. 2004, pp. 1436-1441.
    • (2004) Proc. Conf. Dec. Control , pp. 1436-1441
    • Tarraf, D.C.1    Megretski, A.2    Dahleh, M.A.3
  • 42
    • 33749005673 scopus 로고    scopus 로고
    • Energy functions for dissipativity-based balancing of discrete-time nonlinear systems
    • R. Lopezlena and J. M. A. Scherpen, "Energy functions for dissipativity-based balancing of discrete-time nonlinear systems," Math. Control, Signals Syst., vol. 18, pp. 345-368, 2006.
    • (2006) Math. Control, Signals Syst , vol.18 , pp. 345-368
    • Lopezlena, R.1    Scherpen, J.M.A.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.