Title :
Asymptotic characterizations of IOSS
Author :
Angeli, D. ; Ingalls, B. ; Sontag, E.D. ; Wang, Y.
Author_Institution :
Dipt. Sistemi e Informatica, Universita di Firenze, Italy
Abstract :
We present characterizations of input-output-to-state stability (IOSS). This is a notion of detectability formulated in the input-to-state stability (ISS) framework. Equivalent properties are presented in terms of asymptotic estimates of the state variables on the basis of external information provided by input and output signals. Such results, when applied to other stability notions such as integral ISS and, DISS, provide equivalent characterizations involving asymptotic gains for the corresponding stability notions as well
Keywords :
Lyapunov methods; asymptotic stability; input-output stability; Lyapunov methods; asymptotic characterizations; asymptotic estimates; asymptotic gains; asymptotic stability; detectability; input signals; input-output-to-state stability; output signals; state variables estimation; Asymptotic stability; Control theory; Electronic switching systems; Machinery; Mathematics; Nonlinear systems; State estimation; State feedback;
Conference_Titel :
Decision and Control, 2001. Proceedings of the 40th IEEE Conference on
Conference_Location :
Orlando, FL
Print_ISBN :
0-7803-7061-9
DOI :
10.1109/.2001.980218
