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Volumn 44, Issue 1 PART 1, 2011, Pages 3321-3326

On the relation between port-Hamiltonian and gradient systems

Author keywords

Brayton Moser equations; Consensus algorithms; Hessian Riemannian metrics; Indefinite innner products; Passivity; Potential functions; Reciprocity; RLC circuits; Storage functions

Indexed keywords

CIRCUIT RESONANCE; RESONANT CIRCUITS;

EID: 84866766159     PISSN: 14746670     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.3182/20110828-6-IT-1002.00555     Document Type: Conference Paper
Times cited : (29)

References (16)
  • 1
    • 16244413961 scopus 로고    scopus 로고
    • Hessian Riemannian gradient ows in convex programming
    • F. Alvarez, J. Bolte, O. Brahic, "Hessian Riemannian gradient ows in convex programming', SIAM J. Control Optim., 43(2): 477-501, 2004.
    • (2004) SIAM J. Control Optim. , vol.43 , Issue.2 , pp. 477-501
    • Alvarez, F.1    Bolte, J.2    Brahic, O.3
  • 2
    • 0001782325 scopus 로고
    • A theory of nonlinear networks i
    • R.K. Brayton, J.K. Moser, "A theory of nonlinear networks I", Quart. Appl. Math., 22(1):1-33, 1964.
    • (1964) Quart. Appl. Math. , vol.22 , Issue.1 , pp. 1-33
    • Brayton, R.K.1    Moser, J.K.2
  • 3
    • 0001782325 scopus 로고
    • A theory of nonlinear networks II
    • R.K. Brayton, J.K. Moser, "A theory of nonlinear networks II", Quart. Appl. Math., 22(2): 81-104, 1964.
    • (1964) Quart. Appl. Math. , vol.22 , Issue.2 , pp. 81-104
    • Brayton, R.K.1    Moser, J.K.2
  • 5
    • 0019612867 scopus 로고
    • Geometric structures in systems theory
    • P.E. Crouch, "Geometric structures in systems theory, Proc. IEE-D, 128: 242-252, 1981.
    • (1981) Proc. IEE-D , vol.128 , pp. 242-252
    • Crouch, P.E.1
  • 6
    • 7244257320 scopus 로고    scopus 로고
    • On Hessian Riemannian structures
    • J.J. Duistermaat, "On Hessian Riemannian structures", Asian J. Math., 5(1): 79-92, 2001.
    • (2001) Asian J. Math. , vol.5 , Issue.1 , pp. 79-92
    • Duistermaat, J.J.1
  • 11
    • 21344456323 scopus 로고    scopus 로고
    • L2-gain and passivity techniques in nonlinear control
    • Springer-Verlag, Berlin, 2nd revised and enlarged edition, Springer-Verlag, London, (Springer Communications and Control Engineering series), p.xvi+249
    • A.J. van der Schaft, L2-Gain and Passivity Techniques in Nonlinear Control, Lect. Notes in Control and Information Sciences, Vol. 218, Springer-Verlag, Berlin, 1996, p. 168, 2nd revised and enlarged edition, Springer-Verlag, London, 2000 (Springer Communications and Control Engineering series), p.xvi+249.
    • (1996) Lect. Notes in Control and Information Sciences , vol.218 , pp. 168
    • Van Der Schaft, A.J.1
  • 14
    • 84972541717 scopus 로고
    • On the mathematical foundations of electrical circuit theory
    • S. Smale, "On the mathematical foundations of electrical circuit theory", J. Diff. Equations, 7:193-210, 1972.
    • (1972) J. Diff. Equations , vol.7 , pp. 193-210
    • Smale, S.1
  • 15
    • 34250464350 scopus 로고
    • Dissipative dynamical systems. Part I: General theory
    • J.C. Willems, "Dissipative dynamical systems. Part I: General theory", Arch. Rat. Mech. and Analysis, 45(5): 321-351, 1972.
    • (1972) Arch. Rat. Mech. and Analysis , vol.45 , Issue.5 , pp. 321-351
    • Willems, J.C.1
  • 16
    • 9144224584 scopus 로고
    • Dissipative dynamical systems. Part I: Linear systems with quadratic supply rates
    • J.C. Willems, "Dissipative dynamical systems. Part I: Linear systems with quadratic supply rates", Arch. Rat. Mech. and Analysis, 45(5): 352-393, 1972.
    • (1972) Arch. Rat. Mech. and Analysis , vol.45 , Issue.5 , pp. 352-393
    • Willems, J.C.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.