Delay independence stabilization of uncertain systems and ASC

Authors:
Takshi Amemiya;Tomoaki Hashimoto
Affiliations:
Setsunan University, Dept. of Busines Administation and Information, Neyagawa, Osaka, Japan;Osaka University, Department of Systems Innovation, Toyonaka, Osaka, Japan
Venue:
IMCAS'11 Proceedings of the 10th WSEAS international conference on Instrumentation, measurement, circuits and systems
Year:
2011

Citing 3
Cited 0

A method for designing a stabilizing control for a class of uncertain linear delay systems

Dynamics and Control
A stabilizing control for a class of uncertain delay systems with limited measurable state variables

Dynamics and Control
Stabilization of Linear Uncertain Delay Systems with Antisymmetric Stepwise Configurations

Journal of Dynamical and Control Systems

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Abstract

On the quadratic stabilization of uncertain linear time varying systems by means of linear state variable feedback, Wei introduced the concept of antisymmetric stepwise configuration (ASC) and proved that having this configuration is a necessary and sufficient condition for uncertain linear systems to be quadratically stabilizable by means of a linear state variable feedback. However, because his condition is constructed on the basis of quadratic lyapunov functions, his method is not applicable if the system contains delays in the state variables. In this report the conditions for the delay independent stabilization so far obtained on the basis of delay differential inequalities is further developed and it is proved that generally to have ASC is also a sufficient condition for the delay independent stabilizability of linear uncertain delayed systems by means of linear state variable feedback.