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SIAMCO
2010
93views more  SIAMCO 2010»
13 years 5 months ago
Small Gain Theorems for Large Scale Systems and Construction of ISS Lyapunov Functions
We consider a network consisting of n interconnected nonlinear subsystems. For each subsystem an ISS Lyapunov function is given that treats the other subsystems as independent inpu...
Sergey Dashkovskiy, Björn Sebastian Rüff...
CDC
2008
IEEE
147views Control Systems» more  CDC 2008»
14 years 1 months ago
Applications of the general Lyapunov ISS small-gain theorem for networks
Abstract— In the framework of the ISS Lyapunov formulation a small gain theorem has recently been proved which allows the explicit construction of Lyapunov functions for intercon...
Sergey Dashkovskiy, Björn Rüffer, Fabian...
AUTOMATICA
2005
121views more  AUTOMATICA 2005»
13 years 7 months ago
Robust state observer and control design using command-to-state mapping
In this paper, by introducing the concept of command-to-state/output mapping, it is shown that the state of an uncertain nonlinear system can robustly be estimated if command-to-s...
Zhihua Qu
AUTOMATICA
2005
136views more  AUTOMATICA 2005»
13 years 7 months ago
Conjugate Lyapunov functions for saturated linear systems
Based on a recent duality theory for linear differential inclusions (LDIs), the condition for stability of an LDI in terms of one Lyapunov function can be easily derived from that...
Tingshu Hu, Rafal Goebel, Andrew R. Teel, Zongli L...
ACIIDS
2009
IEEE
105views Database» more  ACIIDS 2009»
13 years 5 months ago
Stability Analysis of Fuzzy Control for Nonlinear Systems
In this study, we propose a method of stability analysis for a GA-Based reference ANNC capable of handling these types of problems for a nonlinear system. The initial values of the...
Po-Chen Chen, Ken Yeh, Cheng-Wu Chen, Shu-Hao Lin