Title :
Asymptotic convergence from Lp stability
Author_Institution :
Dept. of Electr. & Comput. Eng., California Univ., Santa Barbara, CA, USA
fDate :
11/1/1999 12:00:00 AM
Abstract :
This note recalls that an absolutely continuous function having a uniformly locally integrable (not necessarily essentially bounded) derivative is uniformly continuous on the semi-infinite interval. This observation, in conjunction with Barbalat´s lemma, allows concluding asymptotic convergence to zero of an output function for a general class of nonlinear systems with Lp (not necessarily L∞ ) disturbances
Keywords :
asymptotic stability; convergence; nonlinear control systems; Barbalat lemma; L∞ disturbances; Lp disturbances; Lp stability; absolutely continuous function; asymptotic convergence; nonlinear systems; semi-infinite interval; uniformly locally integrable derivative; Asymptotic stability; Automatic control; Convergence; Differential equations; Filters; Optimal control; Process control; Random processes; Stochastic processes; Systems engineering and theory;
Journal_Title :
Automatic Control, IEEE Transactions on
