Computing optimal quadratic Lyapunov functions for polynomial nonlinear systems via LMIS

IFAC Proceedings Volumes (IFAC-PapersOnline)

Volumn 15, Issue 1, 2002, Pages 43-48

  Chesi, Graziano ^a   Tesi, Alberto ^b   Vicino, Antonio ^a  

^a UNIVERSITY OF SIENA   (Italy)

^b UNIVERSITY OF FLORENCE   (Italy)

Author keywords

Domain of attraction; Linear matrix inequality; Nonlinear systems; Quadratic Lyapunov functions; Stability

Indexed keywords

AUTOMATION; CONVERGENCE OF NUMERICAL METHODS; CONVEX OPTIMIZATION; LYAPUNOV FUNCTIONS; NONLINEAR SYSTEMS; POLYNOMIALS; ROBUSTNESS (CONTROL SYSTEMS);

CONVEX APPROACH; DOMAIN OF ATTRACTION; LINEAR MATRIX INEQUALITIES (LMIS); NONCONVEX OPTIMIZATION; POLYNOMIAL NONLINEAR SYSTEMS; POLYNOMIAL SYSTEMS; QUADRATIC LYAPUNOV FUNCTION;

LINEAR MATRIX INEQUALITIES;

EID: 84945583988     PISSN: 14746670     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.3182/20020721-6-es-1901.00257     Document Type: Conference Paper

References (9)

1. Chesi, G. (2001). New convexification techniques and their applications to the analysis of dynamical systems and vision problems. PhD thesis. Università di Bologna, Italy.
2. Chesi, G., A. Garulli, A. Tesi and A. Vicino (2001a). On convexification of distance problems: an lmi-based approach. submitted for publication.
3. Chesi, G., A. Tesi, A. Vicino and R. Genesio (2001b). An lmi approach to constrained optimization with homogeneous forms. Systems and Control Letters 42, 11-19.
4. Chesi, G., R. Genesio and A. Tesi (1997). Optimal ellipsoidal stability domain estimates for odd polynomial systems. In: Proc. of 36th IEEE Conference on Decision and Control. San Diego, California. pp. 3528-3529.
5. Davison, E.J. and E.M. Kurak (1971). A computational method for determining quadratic lyapunov functions for nonlinear systems. Automatica 7, 627-636.
6. Genesio, R., M. Tartaglia and A. Vicino (1985). On the estimation of asymptotic stability regions: State of the art and new proposals. IEEE Transactions on Automatic Control 30, 747-755.
7. Hardy, G., J.E. Littlewood and G. Pólya (1988). Inequalities: Second edition. Cambridge University Press. Cambridge.
8. Khalil, H.K. (1992). Nonlinear Systems. McMillan Publishing Company. New York.
9. Michel, A.N., N.R. Sarabudla and R.K. Miller (1982). Stability analysis of complex dynamical systems. some computational methods. Circ. Syst. Signal Processing 1, 561-573.