Lyapunov formulation of ISS cyclic-small-gain in continuous-time dynamical networks

Authors:
Tengfei Liu;David J. Hill;Zhong-Ping Jiang
Affiliations:
Research School of Information Sciences & Engineering, The Australian National University, Canberra, ACT 0200, Australia;School of Electrical and Information Engineering, The University of Sydney and National ICT Australia, NSW 2006, Australia;Department of Electrical and Computer Engineering, Polytechnic Institute of New York University, Six Metrotech Center, Brooklyn, NY 11201, USA
Venue:
Automatica (Journal of IFAC)
Year:
2011

Citing 6
Cited 4

A generalization of the small-gain theorem for nonlinear feedback systems

Automatica (Journal of IFAC)
On characterizations of the input-to-state stability property

Systems & Control Letters
A Smooth Converse Lyapunov Theorem for Robust Stability

SIAM Journal on Control and Optimization
A Lyapunov formulation of the nonlinear small-gain theorem for interconnected ISS systems

Automatica (Journal of IFAC)
Feedback Systems: Input-Output Properties

Feedback Systems: Input-Output Properties
Small Gain Theorems for Large Scale Systems and Construction of ISS Lyapunov Functions

SIAM Journal on Control and Optimization

Brief paper: A sector bound approach to feedback control of nonlinear systems with state quantization

Automatica (Journal of IFAC)
Decentralized output-feedback control of large-scale nonlinear systems with sensor noise

Automatica (Journal of IFAC)
Distributed formation control of nonholonomic mobile robots without global position measurements

Automatica (Journal of IFAC)
Construction of Lyapunov-Krasovskii functionals for networks of iISS retarded systems in small-gain formulation

Automatica (Journal of IFAC)

Quantified Score

Hi-index	22.15

Visualization

Abstract

This paper provides a Lyapunov formulation of the cyclic-small-gain theorem for general dynamical networks (large-scale systems) composed of continuous-time input-to-state stable (ISS) subsystems. ISS-Lyapunov functions for continuous-time dynamical networks satisfying cyclic-small-gain conditions are constructed from the ISS-Lyapunov functions of the subsystems.