Title :
Instantaneous impulse response of nonlinear system
Author_Institution :
Dept. of Electron. & Telecommun., CICESE Res. Center, San Diego, CA, USA
fDate :
5/1/2000 12:00:00 AM
Abstract :
Mathematical models for nonlinear systems, which admit both standard integrable and impulsive inputs are developed. It is shown that instantaneous response of a nonlinear system to an impulse is not, in general, single-valued, whereas a particular response can be selected through the construction of an auxiliary system. The complete integrability of the auxiliary system is proven to guarantee uniqueness of the impulse response
Keywords :
nonlinear control systems; topology; transient response; instantaneous impulse response; integrability; standard integrable inputs; uniqueness; Control system synthesis; Control systems; Mathematical model; Mechanical systems; Nonlinear control systems; Nonlinear dynamical systems; Nonlinear systems; Open loop systems; Optimal control; Space vehicles;
Journal_Title :
Automatic Control, IEEE Transactions on