Title :
Lyapunov formulation of ISS cyclic-small-gain in discrete-time dynamical networks
Author :
Liu, Tengfei ; Hill, David J. ; Jiang, Zhong-Ping
Author_Institution :
Res. Sch. of Inf. Sci. & Eng., Australian Nat. Univ., Canberra, ACT, Australia
Abstract :
This paper presents a Lyapunov formulation of the cyclic-small-gain theorem for dynamical networks composed of interconnected discrete-time input-to-state stable (ISS) subsystems. ISS-Lyapunov functions for dynamical networks satisfying cyclic-small-gain are constructed from the ISS-Lyapunov functions of the subsystems.
Keywords :
Lyapunov methods; discrete time systems; stability; Lyapunov formulation; discrete-time dynamical networks; input-to-state stable cyclic-small-gain; Asymptotic stability; Automation; Construction industry; Interconnected systems; Lyapunov method; Stability criteria; Dynamical networks; Lyapunov functions; discrete-time; input-to-state stability (ISS); small-gain;
Conference_Titel :
Intelligent Control and Automation (WCICA), 2010 8th World Congress on
Conference_Location :
Jinan
Print_ISBN :
978-1-4244-6712-9
DOI :
10.1109/WCICA.2010.5553943
