Title :
On the input-to-state stability (ISS) of a double integrator with saturated linear control laws
Author :
Shi, Guoyong ; Saberi, Ali
Author_Institution :
Sch. of Electr. Eng. & Comput. Sci., Washington State Univ., Pullman, WA, USA
Abstract :
We show that the closed loop system consisting of a double integrator with any stabilizing saturated linear control law is not input-to-state stable (ISS) even for external disturbances with arbitrarily small magnitude.
Keywords :
Lyapunov methods; closed loop systems; feedback; linear systems; nonlinear control systems; stability; closed loop system; double integrator; external disturbances; input-to-state stability; saturated linear control laws; Asymptotic stability; Closed loop systems; Computer science; Control systems; Ear; Feedback; Linear systems; Lyapunov method; Nonlinear systems; Open loop systems;
Conference_Titel :
American Control Conference, 2002. Proceedings of the 2002
Print_ISBN :
0-7803-7298-0
DOI :
10.1109/ACC.2002.1024780
