Stability and Stabilizability Criteria of Nonlinear Interval Systems

Tiexiao Xu; Zhuo Wang; Linshan Zhong; Yuanrui Zhou

doi:10.1109/TCSII.2023.3345267

Stability and Stabilizability Criteria of Nonlinear Interval Systems

Tiexiao Xu
, Zhuo Wang^*
, Linshan Zhong
, Yuanrui Zhou

^*Corresponding author for this work

School of Instrumentation and Optoelectronic Engineering

Research output: Contribution to journal › Article › peer-review

Abstract

This brief introduces innovative approaches to assess the stability and stabilizability of nonlinear interval systems, offering efficient methods for designing state feedback stabilization controllers. Stability analysis relies on matrix theory and Lyapunov's method, providing less conservative results compared to conventional techniques. Stabilizability analysis presents conditions for achieving stabilizability and designing feedback stabilization controller, reducing computational complexity. The effectiveness and advantages of these methods are illustrated through examples.

Original language	English
Pages (from-to)	2669-2673
Number of pages	5
Journal	IEEE Transactions on Circuits and Systems II: Express Briefs
Volume	71
Issue number	5
DOIs	https://doi.org/10.1109/TCSII.2023.3345267
State	Published - 1 May 2024

Keywords

Chua's circuit
feedback stabilization design
nolinear interval systems
stability
stabilizability

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10.1109/TCSII.2023.3345267

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title = "Stability and Stabilizability Criteria of Nonlinear Interval Systems",

abstract = "This brief introduces innovative approaches to assess the stability and stabilizability of nonlinear interval systems, offering efficient methods for designing state feedback stabilization controllers. Stability analysis relies on matrix theory and Lyapunov's method, providing less conservative results compared to conventional techniques. Stabilizability analysis presents conditions for achieving stabilizability and designing feedback stabilization controller, reducing computational complexity. The effectiveness and advantages of these methods are illustrated through examples.",

keywords = "Chua's circuit, feedback stabilization design, nolinear interval systems, stability, stabilizability",

author = "Tiexiao Xu and Zhuo Wang and Linshan Zhong and Yuanrui Zhou",

note = "Publisher Copyright: {\textcopyright} 2004-2012 IEEE.",

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Y1 - 2024/5/1

N2 - This brief introduces innovative approaches to assess the stability and stabilizability of nonlinear interval systems, offering efficient methods for designing state feedback stabilization controllers. Stability analysis relies on matrix theory and Lyapunov's method, providing less conservative results compared to conventional techniques. Stabilizability analysis presents conditions for achieving stabilizability and designing feedback stabilization controller, reducing computational complexity. The effectiveness and advantages of these methods are illustrated through examples.

AB - This brief introduces innovative approaches to assess the stability and stabilizability of nonlinear interval systems, offering efficient methods for designing state feedback stabilization controllers. Stability analysis relies on matrix theory and Lyapunov's method, providing less conservative results compared to conventional techniques. Stabilizability analysis presents conditions for achieving stabilizability and designing feedback stabilization controller, reducing computational complexity. The effectiveness and advantages of these methods are illustrated through examples.

KW - Chua's circuit

KW - feedback stabilization design

KW - nolinear interval systems

KW - stability

KW - stabilizability

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ER -

Stability and Stabilizability Criteria of Nonlinear Interval Systems

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Keywords

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