Title :
g-representations and differential equations
Author :
Sandberg, Irwin W.
Author_Institution :
Dept. of Electr. & Comput. Eng., Texas Univ., Austin, TX, USA
Abstract :
Earlier results concerning g- and h-representations for nonlinear input-output maps are extended so that vector-valued inputs and outputs can be treated. It is established that the range of applicability of the extended results is very wide, and it is illustrated how they can be used, within the contexts of systems governed by differential equations. In particular, it is shown that the nonlinear variation of constants formula is a special case of the main representation theorem
Keywords :
differential equations; nonlinear network analysis; nonlinear systems; differential equations; extended results; g-representations; h-representations; nonlinear input-output maps; nonlinear variation of constants formula; range of applicability; systems governed by differential equations; vector valued outputs; vector-valued inputs; Differential equations; Integral equations; Stability analysis;
Conference_Titel :
Circuits and Systems, 1990., IEEE International Symposium on
Conference_Location :
New Orleans, LA
DOI :
10.1109/ISCAS.1990.112049
