Title :
Computation of domains of attraction in the state-space of second degree nonlinear circuits and systems
Author :
Azzouz, Abdennusser ; Hasler, Murtin
Author_Institution :
ETH, Lausanne, Switzerland
Abstract :
A method is given which allows an easy and effective computation of domains of attraction for the solutions of a class of second-degree nonlinear and nonautonomous circuits and systems. Both locally and globally attracting domains can be determined in the state-space. The method yields much better results than those obtained using the classical method of quadratic Liapunov functions, as shown by some examples. Furthermore, the results yield interesting information about the actual solutions of the state equations considered.<>
Keywords :
nonlinear network analysis; nonlinear systems; state-space methods; actual solutions; domains of attraction; effective computation; globally attracting domains; locally attracting domains; method; nonautonomous circuits; nonautonomous systems; nonlinear systems; state-space of second degree nonlinear circuits; Circuit analysis computing; Circuits and systems; Differential equations; Nonlinear circuits; Nonlinear equations; Orbital calculations; Orbits; Steady-state;
Conference_Titel :
Circuits and Systems, 1988., IEEE International Symposium on
Conference_Location :
Espoo, Finland
DOI :
10.1109/ISCAS.1988.14856
