A new result on the robust stability of uncertain systems with time-varying delay

Jun Juh Yan; Jason Sheng Hong Tsai; Fan Chu Kung

doi:10.1109/81.933336

A new result on the robust stability of uncertain systems with time-varying delay

Jun Juh Yan, Jason Sheng Hong Tsai, Fan Chu Kung

Department of Electrical Engineering

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

31 Citations (Scopus)

Abstract

A stability criterion for uncertain systems with time-varying delay is derived via the Lyapunov functional approach. By checking the Hamiltonian matrix and solving an algebraic Riccati equation, a new bound on allowable stability preserving nonlinear perturbations is presented. The result obtained here is shown to be less conservative than others reported in the literature.

Original language	English
Pages (from-to)	914-916
Number of pages	3
Journal	IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications
Volume	48
Issue number	7
DOIs	https://doi.org/10.1109/81.933336
Publication status	Published - 2001 Jul

All Science Journal Classification (ASJC) codes

Electrical and Electronic Engineering

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10.1109/81.933336

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abstract = "A stability criterion for uncertain systems with time-varying delay is derived via the Lyapunov functional approach. By checking the Hamiltonian matrix and solving an algebraic Riccati equation, a new bound on allowable stability preserving nonlinear perturbations is presented. The result obtained here is shown to be less conservative than others reported in the literature.",

author = "Yan, {Jun Juh} and Tsai, {Jason Sheng Hong} and Kung, {Fan Chu}",

note = "Funding Information: Manuscript received May 20, 1996; revised May 30, 1997, and September 6, 1997. The work was supported by the National Science Council of the Republic of China under Grant NSC-85-2213-E-006-056. This paper was recommended by Associate Editor U. Helmke.",

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N2 - A stability criterion for uncertain systems with time-varying delay is derived via the Lyapunov functional approach. By checking the Hamiltonian matrix and solving an algebraic Riccati equation, a new bound on allowable stability preserving nonlinear perturbations is presented. The result obtained here is shown to be less conservative than others reported in the literature.

AB - A stability criterion for uncertain systems with time-varying delay is derived via the Lyapunov functional approach. By checking the Hamiltonian matrix and solving an algebraic Riccati equation, a new bound on allowable stability preserving nonlinear perturbations is presented. The result obtained here is shown to be less conservative than others reported in the literature.

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A new result on the robust stability of uncertain systems with time-varying delay

Abstract

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