메뉴 건너뛰기




Volumn 46, Issue 23 PART 1, 2013, Pages 15-20

On differentially dissipative dynamical systems

Author keywords

Contraction analysis; Dissipativity; Incremental stability

Indexed keywords

DYNAMICAL SYSTEMS;

EID: 84885804039     PISSN: 14746670     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.3182/20130904-3-FR-2041.00038     Document Type: Conference Paper
Times cited : (63)

References (30)
  • 1
    • 0037871940 scopus 로고    scopus 로고
    • An intrinsic observer for a class of lagrangian systems
    • ISSN 0018-9286
    • N. Aghannan and P. Rouchon. An intrinsic observer for a class of lagrangian systems. IEEE Transactions on Automatic Control, 48(6):936-945, 2003. ISSN 0018-9286.
    • (2003) IEEE Transactions on Automatic Control , vol.48 , Issue.6 , pp. 936-945
    • Aghannan, N.1    Rouchon, P.2
  • 2
    • 0036493650 scopus 로고    scopus 로고
    • A Lyapunov approach to incremental stability properties
    • D. Angeli. A Lyapunov approach to incremental stability properties. IEEE Transactions on Automatic Control, 47:410-421, 2000.
    • (2000) IEEE Transactions on Automatic Control , vol.47 , pp. 410-421
    • Angeli, D.1
  • 3
    • 67649592743 scopus 로고    scopus 로고
    • Further results on incremental input-to-state stability
    • D. Angeli. Further results on incremental input-to-state stability. IEEE Transactions on Automatic Control, 54(6):1386-1391, 2009.
    • (2009) IEEE Transactions on Automatic Control , vol.54 , Issue.6 , pp. 1386-1391
    • Angeli, D.1
  • 7
    • 84883019566 scopus 로고
    • Feedback systems: Input-output properties, volume 55 of classics in applied mathematics
    • ISBN 9780898716702
    • C.A. Desoer and M. Vidyasagar. Feedback Systems: Input-Output Properties, volume 55 of Classics in Applied Mathematics. Society for Industrial and Applied Mathematics, 1975. ISBN 9780898716702.
    • (1975) Society for Industrial and Applied Mathematics
    • Desoer, C.A.1    Vidyasagar, M.2
  • 10
    • 33847188104 scopus 로고    scopus 로고
    • Connecting nonlinear incremental Lyapunov stability with the linearizations Lyapunov stability
    • December
    • V. Fromion and G. Scorletti. Connecting nonlinear incremental Lyapunov stability with the linearizations Lyapunov stability. In 44th IEEE Conference on Decision and Control, pages 4736-4741, December 2005.
    • (2005) 44th IEEE Conference on Decision and Control , pp. 4736-4741
    • Fromion, V.1    Scorletti, G.2
  • 11
    • 80052025003 scopus 로고    scopus 로고
    • Equilibrium-independent passivity: A new definition and numerical certification
    • ISSN 0005-1098
    • G.H. Hines, M. Arcak, and A.K. Packard. Equilibrium-independent passivity: A new definition and numerical certification. Automat-ica, 47(9):1949-1956, 2011. ISSN 0005-1098.
    • (2011) Automat-ica , vol.47 , Issue.9 , pp. 1949-1956
    • Hines, G.H.1    Arcak, M.2    Packard, A.K.3
  • 12
    • 34447566216 scopus 로고    scopus 로고
    • Passivity of nonlinear incremental systems: Application to PI stabilization of nonlinear rlc circuits
    • B. Jayawardhana, R. Ortega, E. Garc?a-Canseco, and F. Castanos. Passivity of nonlinear incremental systems: Application to PI stabilization of nonlinear rlc circuits. Systems and Control Letters, 56(9-10):618-622, 2007.
    • (2007) Systems and Control Letters , vol.56 , Issue.9-10 , pp. 618-622
    • Jayawardhana, B.1    Ortega, R.2    Garca-Canseco, E.3    Castanos, F.4
  • 13
    • 12244287257 scopus 로고
    • Metric properties of differential equations
    • April
    • D. C. Lewis. Metric properties of differential equations. American Journal of Mathematics, 71(2):294-312, April 1949.
    • (1949) American Journal of Mathematics , vol.71 , Issue.2 , pp. 294-312
    • Lewis, D.C.1
  • 14
    • 0032094219 scopus 로고    scopus 로고
    • On contraction analysis for non-linear systems
    • June ISSN 0005-1098
    • W. Lohmiller and J.E. Slotine. On contraction analysis for non-linear systems. Automatica, 34(6):683-696, June 1998. ISSN 0005-1098.
    • (1998) Automatica , vol.34 , Issue.6 , pp. 683-696
    • Lohmiller, W.1    Slotine, J.E.2
  • 16
    • 41249091082 scopus 로고    scopus 로고
    • Incremental passivity and output regulation
    • ISSN 0167-6911
    • A. Pavlov and L. Marconi. Incremental passivity and output regulation. Systems and Control Letters, 57(5):400-409, 2008. ISSN 0167-6911.
    • (2008) Systems and Control Letters , vol.57 , Issue.5 , pp. 400-409
    • Pavlov, A.1    Marconi, L.2
  • 17
    • 2642553875 scopus 로고    scopus 로고
    • Convergent dynamics, a tribute to Boris Pavlovich Demidovich
    • ISSN 0167-6911.doi: DOI: 10.1016/j.sysconle.2004.02.003
    • A. Pavlov, A. Pogromsky, N. van de Wouw, and H. Nijmeijer. Convergent dynamics, a tribute to Boris Pavlovich Demidovich. Systems &Control Letters, 52(3-4):257-261, 2004. ISSN 0167-6911.doi: DOI: 10.1016/j.sysconle.2004.02.003.
    • (2004) Systems &control Letters , vol.52 , Issue.3-4 , pp. 257-261
    • Pavlov, A.1    Pogromsky, A.2    Van De Wouw, N.3    Nijmeijer, H.4
  • 18
    • 33845599202 scopus 로고    scopus 로고
    • Stable concurrent synchronization in dynamic system networks
    • ISSN 0893-6080
    • Q.C. Pham and J.E. Slotine. Stable concurrent synchronization in dynamic system networks. Neural Networks, 20(1):62-77, 2007. ISSN 0893-6080.
    • (2007) Neural Networks , vol.20 , Issue.1 , pp. 62-77
    • Pham, Q.C.1    Slotine, J.E.2
  • 19
    • 77954596479 scopus 로고    scopus 로고
    • Global entrainment of transcriptional systems to periodic inputs
    • doi: 10.1371/journal. pcbi.1000739
    • G. Russo, M. Di Bernardo, and E.D. Sontag. Global entrainment of transcriptional systems to periodic inputs. PLoS Com-putational Biology, 6(4):e1000739, 04 2010. doi: 10.1371/journal. pcbi.1000739.
    • (2010) PLoS Com-putational Biology , vol.6 , Issue.4
    • Russo, G.1    Di Bernardo, M.2    Sontag, E.D.3
  • 22
    • 33947407698 scopus 로고    scopus 로고
    • Analysis of interconnected oscillators by dissipativity theory
    • feb.ISSN 0018-9286
    • G.B. Stan and R. Sepulchre. Analysis of interconnected oscillators by dissipativity theory. Automatic Control, IEEE Transactions on, 52(2):256-270, feb. 2007. ISSN 0018-9286.
    • (2007) Automatic Control, IEEE Transactions on , vol.52 , Issue.2 , pp. 256-270
    • Stan, G.B.1    Sepulchre, R.2
  • 24
    • 52749099426 scopus 로고    scopus 로고
    • Relation between metric spaces and Finsler spaces
    • ISSN 0926-2245. doi: 10.1016/j.difgeo.2008.04.007
    • L. Tamassy. Relation between metric spaces and Finsler spaces. Differential Geometry and its Applications, 26(5):483-494, 2008. ISSN 0926-2245. doi: 10.1016/j.difgeo.2008.04.007.
    • (2008) Differential Geometry and Its Applications , vol.26 , Issue.5 , pp. 483-494
    • Tamassy, L.1
  • 25
    • 84861383861 scopus 로고    scopus 로고
    • Springer-Verlag New York, Inc., Secaucus, N.J., USA, second edition,. ISBN 1852330732
    • A.J. van der Schaft. L2-Gain and Passivity in Nonlinear Control. Springer-Verlag New York, Inc., Secaucus, N.J., USA, second edition, 1999. ISBN 1852330732.
    • (1999) L2-Gain and Passivity in Nonlinear Control
    • Van Der Schaft, A.J.1
  • 27
    • 12344327544 scopus 로고    scopus 로고
    • On partial contraction analysis for coupled nonlinear oscillators
    • W. Wang and J.E. Slotine. On partial contraction analysis for coupled nonlinear oscillators. Biological Cybernetics, 92(1):38-53, 2005.
    • (2005) Biological Cybernetics , vol.92 , Issue.1 , pp. 38-53
    • Wang, W.1    Slotine, J.E.2
  • 28
    • 34250464350 scopus 로고
    • Dissipative dynamical systems part I: General theory
    • ISSN 0003-9527
    • J.C. Willems. Dissipative dynamical systems part I: General theory. Archive for Rational Mechanics and Analysis, 45:321-351, 1972a. ISSN 0003-9527.
    • (1972) Archive for Rational Mechanics and Analysis , vol.45 , pp. 321-351
    • Willems, J.C.1
  • 29
    • 9144224584 scopus 로고
    • Dissipative dynamical systems part II: Linear systems with quadratic supply rates
    • ISSN 0003-9527
    • J.C. Willems. Dissipative dynamical systems part II: Linear systems with quadratic supply rates. Archive for Rational Mechanics and Analysis, 45:352-393, 1972b. ISSN 0003-9527.
    • (1972) Archive for Rational Mechanics and Analysis , vol.45 , pp. 352-393
    • Willems, J.C.1
  • 30
    • 0026119885 scopus 로고
    • Paradigms and puzzles in the theory of dynamical systems
    • J.C. Willems. Paradigms and puzzles in the theory of dynamical systems. IEEE Transactions on Automatic Control, 36(3):259-294, 1991.
    • (1991) IEEE Transactions on Automatic Control , vol.36 , Issue.3 , pp. 259-294
    • Willems, J.C.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.