Stability analysis of interconnected implicit systems based on passivity

IFAC Proceedings Volumes (IFAC-PapersOnline)

Volumn 15, Issue 1, 2002, Pages 95-100

  Takaba, Kiyotsugu ^a  

^a KYOTO UNIVERSITY   (Japan)

Author keywords

Constrained linear matrix inequality; Implicit system; Interconnection; Passivity; Stability

Indexed keywords

AUTOMATION; CONVERGENCE OF NUMERICAL METHODS; LINEAR MATRIX INEQUALITIES;

IMPLICIT SYSTEMS; INPUT-OUTPUT; INTERCONNECTION; INTERNAL STABILITY; PASSIVITY; PASSIVITY THEORY; STABILITY ANALYSIS;

SYSTEM STABILITY;

EID: 84945531858     PISSN: 14746670     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.3182/20020721-6-es-1901.00177     Document Type: Conference Paper

References (20)

1. Anderson, B.D.O. and S. Vongpanitlerd (1973). Network Analysis and Synthesis: A modern system theory approach, Prentice-Hall.
2. Aplevich, J.D. (1991). Implicit Linear Systems, Springer-Verlag.
3. Geerts, A.H.W. and J.M. Schumacher (1996a). Impulsive-smooth behavior in multimode systems Part I: State-space and polynomial representations, Automatica, 32, 747-758.
4. Geerts, A.H.W. and J.M. Schumacher (1996b). Impulsive-smooth behavior in multimode systems Part II: Minimality and equivalence, Automatica, 32, 819-832.
5. Iwasaki, T. and G. Shibata (1999). LPV system analysis via quadratic separator for uncertain implicit systems, Proc. of the 38th IEEE Conf. Decision Control, 287-292.
6. Kuijper, M. (1994). First-order Representations of Linear Systems, Birkhäuser.
7. Masubuchi, I. and E. Shimemura (1997). An LMI condition for stability of implicit systems, Proc. of 36th IEEE Conf. Decision and Contr., 779-780.
8. Masubuchi, I. (2000). On stabilization of implicit systems via interconnection, Proc. of 29th Control theory symposium, 205-208.
9. Megretski, A. and A. Rantzer (1997). System analysis via integral quadratic constraints, IEEE Trans. Automatic Control, 42, 819-830.
10. Shibasato, K., T. Shiotsuki and S. Kawaji (1999), A formulation of dissipativity on pencil model, Proc. of 14th IFAC World Congress, Beijing, D-2b-10-2, 321-326.
11. Takaba, K. (1999). Linear quadratic optimal control for linear implicit system, Proc. of the 38th IEEE Conf. on Decision & Control, 4074-4079.
12. Takaba, K. (2000). Dissipativity and LQ optimal control of linear implicit systems, Trans. Soc. Instr. Contr. Eng., 37, 533-540.
13. Vidyasagar, M. (1993). Nonlinear Systems Analysis, 2nd edition, Prentice-Hall.
14. Trentelman, H.L. and J.C. Willems (1991). The dissipation inequality and the algebraic Riccati equation, The Riccati Equation (Bittanti, Laub and Willems eds.), Springer-Verlag, 197-242.
15. 2-Gain and Passivity Techniques in Nonlinear Control, Springer-Verlag.
16. Willems, J.C. (1971). Least squares stationary optimal control and the algebraic Riccati equation, IEEE Trans. Automatic Control, 16, 621-634.
17. Willems, J.C. (1991). Paradigms and puzzles in the theory of dynamical systems, IEEE Trans. Automatic Control, 36, 259-294.
18. Willems, J.C. and H.L. Trentelman (1998). On quadratic differential forms, SIAM J. Control and Optimization, 36, 1703-1749.
19. Willems, J.C. (1997). On interconnections, control and feedback, IEEE Trans. Automatic Control, 42, 326-339.
20. Willems, J.C. and H.L. Trentelman (2001). Synthesis of dissipative systems using quadratic differential forms: Parts I and II, IEEE Trans. Automatic Control, AC-47, 53-86.