Further results on the robust stability for neutral-type Lur’e system with mixed delays and sector-bounded nonlinearities

Duan, Wenyong; Fu, Xiaorong; Yang, Xiaodong

doi:10.1007/s12555-014-0547-9

Cited by 11 publications

(7 citation statements)

References 18 publications

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“…Thus, there are many methods and techniques given to address these two aspects. For the construction of LKF, a LKF with the delay decomposition method [22][23][24], LKF with multiple integral items [25][26][27][28][29] and LKF with some augmented vectors [30,31] are proposed. On the other aspect, the Jensen inequality [32], B-L inequality [33] and relaxed integral inequality techniques [34][35][36][37][38] are used to estimate the upper bound of the derivative of LKF.…”

Section: Introductionmentioning

confidence: 99%

Enhanced Stability Criteria of Network-Based Load Frequency Control of Power Systems with Time-Varying Delays

et al. 2021

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The stability problem for load frequency control (LFC) of power systems with two time-varying communication delays is studied in this paper. The one-area and two-area LFC systems are considered, respectively, which are modeled as corresponding linear systems with additive time-varying delays. An improved stability criterion is proposed via a modified Lyapunov-Krasovskii functional (LKF) approach. Firstly, an augmented LKF consisting of delay-dependent matrices and some single-integral items containing time-varying delay information in two different delay subintervals is constructed, which makes full use of the coupling information between the system states and time-varying delays. Secondly, the novel negative definite inequality equivalent transformation lemma is used to transform the nonlinear inequality to the linear matrix inequality (LMI) equivalently, which can be easily solved by the MATLAB LMI-Toolbox. Finally, some numerical examples are presented to show the improvement of the proposed approach.

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Section: Introductionmentioning

confidence: 99%

Enhanced Stability Criteria of Network-Based Load Frequency Control of Power Systems with Time-Varying Delays

et al. 2021

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“…Therefore, more and more attention is paid to the stability of time-delayed neutral systems. In recent years, the robust stability problem of neutral systems with time delays has been widely studied in [23][24][25][26][27][28][29][30][31][32][33], where many important robust stability criteria are given. However, the main improvement of stability criteria depend on the development of LKF and the update of inequality techniques based on linear systems.…”

Section: Introductionmentioning

confidence: 99%

Improved robust stability criteria for uncertain linear neutral‐type systems via novel Lyapunov‐Krasovskii functional

Duan

Tang

Duan

2019

Asian Journal of Control

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The stability problem for the uncertain time‐varying delayed neutral‐type system is concerned in this paper. By introducing a novel Lyapunov‐Krasovskii functional (LKF) related to a delay‐product‐type function and two delay‐dependent matrices, some new delay‐dependent robust stability sufficient conditions are derived, which are based on convex linear matrix inequality (LMI) framework. The sufficient conditions in this paper can reduce the conservativeness of some recent previous ones. In the end, some numerical examples, including a linear neutral‐type system, the partial element equivalent circuit and a general linear system, show the effectiveness of the proposed method.

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“…The control theory of system is always a hot topic [1][2][3][4][5][6][7][8]. Time delays are of frequent occurrence in many practical systems, which often result in the major source of poor performance and instability.…”

Section: Introductionmentioning

confidence: 99%

An improved stability criterion for linear time-varying delay systems

et al. 2019

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This paper considers the stability problem of linear systems with time-varying delays. A modified Lyapunov-Krasovskii functional (LKF) is constructed, which consists of delay-dependent matrices and double integral items under two time-varying subintervals. Based on the modified LKF, a less conservative stability criterion than some previous ones is derived. Furthermore, to obtain a tighter bound of the integral terms, the quadratic generalized free-weighting matrix inequality (QGFMI) is fully applied to different delay subintervals, which further reduces the conservatism of the stability criterion. Finally, three numerical examples are presented to show the effectiveness of the proposed approach.

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Further results on the robust stability for neutral-type Lur’e system with mixed delays and sector-bounded nonlinearities

Cited by 11 publications

References 18 publications

Enhanced Stability Criteria of Network-Based Load Frequency Control of Power Systems with Time-Varying Delays

Enhanced Stability Criteria of Network-Based Load Frequency Control of Power Systems with Time-Varying Delays

Improved robust stability criteria for uncertain linear neutral‐type systems via novel Lyapunov‐Krasovskii functional

An improved stability criterion for linear time-varying delay systems

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