On the conditions of passivity and losslessness in discrete time

ECC 1997 - European Control Conference

Volumn , Issue , 1997, Pages 3621-3625

  Monaco, S ^a   Normand Cyrot, D ^b  

^a SAPIENZA UNIVERSITY OF ROME   (Italy)

^b CNRS   (France)

Author keywords

Differential geometry; Nonlinear discrete time dynamics; Passivity

Indexed keywords

CONTROL ENGINEERING;

DIFFERENTIAL GEOMETRY; DISCRETE TIME; LOSSLESS; NONLINEAR DISCRETE-TIME; PASSIVITY;

GEOMETRY;

EID: 84949089586     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.23919/ecc.1997.7082677     Document Type: Conference Paper

References (9)

1. C. I. Byrnes and W. Lin, Losslcssncss, Fccdback Equivalence and Global Stabilization of Discrctc-Timc Nonlinear Systems, IEEE Trans, on Aut. Cont., AC-39, 1994, 83-98.
2. C. I. Byrnes and A. Isidori, Asymptotic stabilization of minimum-phase nonlinear systems, IEEE Trans. Aut. Cont., AC-36, 1991, 1122-1137.
3. C. I. Byrnes, A. Isidori and J. C. Willems, Passivity, Fccdback Equivalence and the Global Stabilization of Minimum Phase Nonlinear Systems, IEEE Trans, on Aut. Cont, AC-36, 1991, 1228-1240.
4. D. Hill and P. Moylan, The Stability of Nonlinear Dissipative Systems, IEEE Trans. Aut. Cont., AC-21, 1976, 708-711.
5. S. Monaco and D. Normand-Cyrot, A unifying representation for nonlinear discrete-time and sampled dynamics, Journal of Math. Systems, Estimation and Control, 101-103 (summary) 1995.
6. S. Monaco and D. Normand-Cyrot, Differential Representations with Jumps for Nonlinear Discrete-Time Nonlinear Systems, internal report, University of Rome "La Sapienza" submitted for publication, 1996.
7. S. Monaco and D. Normand-Cyrot, Geometric properties of a class of nonlinear dynamics, Proc. ECC-97, Bruxelles, 1997.
8. J. C. Willems, Dissipative Dynamical Systems Part I: General Theory, Arch. Ration. Mechanical Anal., 45, 1972, 325-351.
9. J. C. Willems, Dissipative Dynamical Systems Part II: Linear Systems with Quadratic Supply Rates, Arch. Ration. Mechanical Anal., 4, 1972, 352-393.