Title :
Analysis of bilinear systems using Walsh functions
Author :
Lewis, F.L. ; Mertzios, V.G. ; Vachtsevanos, G. ; Christodoulou, M.A.
Author_Institution :
Sch. of Electr. Eng., Georgia Inst. of Technol., Atlanta, GA, USA
fDate :
1/1/1990 12:00:00 AM
Abstract :
By using Walsh functions to analyze bilinear systems, it is shown that the nonlinear differential system equation can be converted to a linear algebraic generalized Lyapunov equation that can be solved for the coefficients of the state x(t) in terms of the Walsh basis functions. This Lyapunov equation provides an approximate closed-form solution for a bilinear system. Some guidelines are given for selecting the number of terms in the Walsh approximating series
Keywords :
Walsh functions; control system analysis; linear algebra; linear systems; nonlinear differential equations; nonlinear systems; Walsh approximating series; Walsh functions; approximate closed-form solution; bilinear systems; control system analysis; linear algebraic generalized Lyapunov equation; nonlinear differential system equation; H infinity control; Influenza; Nonlinear systems; Open loop systems; Output feedback; Transfer functions;
Journal_Title :
Automatic Control, IEEE Transactions on
