Computational methods in nonlinear stability analysis: Stability boundary calculations

Journal of Computational and Applied Mathematics

Volumn 168, Issue 1-2, 2004, Pages 289-297

  Luyckx, L ^a   Loccufier, M ^a   Noldus, E ^a  

^a GHENT UNIVERSITY   (Belgium)

Author keywords

Liapunov theory; Split boundary value problems; Stability boundary calculations; Visualization

Indexed keywords

BOUNDARY VALUE PROBLEMS; COMPUTER SIMULATION; DYNAMICS; PROBLEM SOLVING; VISUALIZATION;

NONLINEAR STABILITY ANALYSIS; STABILITY BOUNDARY;

COMPUTATIONAL METHODS;

MATHEMATICAL ANALYSIS;

EID: 2942522386     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cam.2003.05.021     Document Type: Article

References (5)

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2. Noldus E. Loccufier M. A comment on the method of the closest unstable equilibrium point in nonlinear stability analysis IEEE Trans. Automat. Control 40 1995 497-500
3. Palis J. De Melo W. Geometric Theory of Dynamical Systems 1982 Springer New York
4. Vidyasagar M. Nonlinear Systems Analysis 1993 Prentice-Hall Englewood Cliffs, NJ
5. Zaborszky J. Huang G. Leung T. On the phase portrait of a class of large nonlinear dynamic systems such as the power system IEEE Trans. Automat. Control 33 1988 4-15