Title :
Some new results on observability and stability of discrete-time autonomous systems
Author :
Lin, Wei ; Byrnes, Christopher I.
Author_Institution :
Dept. of Syst. Sci. & Math., Washington Univ., St. Louis, MO, USA
Abstract :
This paper studies discrete-time autonomous systems Σ: xk+1=f(xk), yk=h(xk). We investigate the problem of when asymptotic stability of Σ can be characterized by means of zero-state observability of Σ and square summability of the output function h(xk). The relationship among observability, square summable series and stability of discrete-time autonomous systems is exposed
Keywords :
asymptotic stability; discrete time systems; observability; asymptotic stability; discrete-time autonomous systems; square summability; zero-state observability; Asymptotic stability; Attenuation; Ear; Linear systems; Lyapunov method; Nonlinear systems; Observability; Vectors;
Conference_Titel :
American Control Conference, Proceedings of the 1995
Conference_Location :
Seattle, WA
Print_ISBN :
0-7803-2445-5
DOI :
10.1109/ACC.1995.532726
