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A delay-dependent passivity criterion of linear neutral delay systems 被引量:2
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作者 Weihua GUI Biyu LIU Zhaohui TANG 《控制理论与应用(英文版)》 EI 2006年第2期201-206,共6页
The problem of delay-dependent stability and passivity for linear neutral systems is discussed. By constructing a novel type Lyapunov-krasovskii functional, a new delay-dependent passivity criterion is presented in te... The problem of delay-dependent stability and passivity for linear neutral systems is discussed. By constructing a novel type Lyapunov-krasovskii functional, a new delay-dependent passivity criterion is presented in terms of linear matrix inequalities (LMIs). Model transformation, bounding for cross terms and selecting free weighting matrices [12-14] are not required in the arguments. Numerical examples show that the proposed criteria are available and less conservative than existing results . 展开更多
关键词 neutral delay systems delay-dependent criteria Linear matrix inequalities (LMIs) Lyapunov-krasovskii functional
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Robust H-infinity reliable control for a class of nonlinear uncertain neutral delay systems 被引量:1
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作者 XimingSUN JunZHAO BingCHEN 《控制理论与应用(英文版)》 EI 2004年第3期222-228,共7页
This paper focuses on the robust H-infinity reliable control for a class of nonlinear neutral delay systems with uncertainties and actuator failures. We design a state feedback controller in terms of linear matrix ine... This paper focuses on the robust H-infinity reliable control for a class of nonlinear neutral delay systems with uncertainties and actuator failures. We design a state feedback controller in terms of linear matrix inequality(LMI)such that the plant satisfies robust H-infinity performance for all admissible uncertainties, and actuator failures among a prespecified subset of actuators. An example is also given to illustrate the effectiveness of the proposed approach. 展开更多
关键词 neutral delay systems Reliable control H-infinity disturbance attenuation performance
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Asymptotic Analysis of Linear and Interval Linear Fractional-Order Neutral Delay Differential Systems Described by the Caputo-Fabrizio Derivative 被引量:1
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作者 Ann Al Sawoor Miloud Sadkane 《Applied Mathematics》 2020年第12期1229-1242,共14页
Asymptotic stability of linear and interval linear fractional-order neutral delay differential systems described by the Caputo-Fabrizio (CF) fractional derivatives is investigated. Using Laplace transform, a novel cha... Asymptotic stability of linear and interval linear fractional-order neutral delay differential systems described by the Caputo-Fabrizio (CF) fractional derivatives is investigated. Using Laplace transform, a novel characteristic equation is derived. Stability criteria are established based on an algebraic approach and norm-based criteria are also presented. It is shown that asymptotic stability is ensured for linear fractional-order neutral delay differential systems provided that the underlying stability criterion holds for any delay parameter. In addition, sufficient conditions are derived to ensure the asymptotic stability of interval linear fractional order neutral delay differential systems. Examples are provided to illustrate the effectiveness and applicability of the theoretical results. 展开更多
关键词 Fractional Calculus Caputo-Fabrizio Fractional Derivative neutral delay Differential systems Asymptotic Stability
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Robust Stabilization of Uncertain Linear Neutral Delay Systems
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作者 Long Liu Ming Li 《Journal of Systems Science and Information》 2008年第1期19-25,共7页
This note deals with stabilization of uncertain linear neutral delay systems. A new stabilization scheme is presented. Using new Lyapunov-Krasovskii functionals, less conservative stabilization conditions are derived ... This note deals with stabilization of uncertain linear neutral delay systems. A new stabilization scheme is presented. Using new Lyapunov-Krasovskii functionals, less conservative stabilization conditions are derived for such systems based on linear matrix inequalities (LMI). The results are illustrated using a numerical example. 展开更多
关键词 delay-DEPENDENT robustly stabilizable LMI linear neutral delay systems
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DELAY-DEPENDENT STABILITY OF LINEAR MULTISTEP METHODS FOR NEUTRAL SYSTEMS WITH DISTRIBUTED DELAYS
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作者 Yuhao Cong Shouyan Wu 《Journal of Computational Mathematics》 SCIE CSCD 2022年第3期484-498,共15页
This paper considers the asymptotic stability of linear multistep(LM)methods for neutral systems with distributed delays.In particular,several sufficient conditions for delay-dependent stability of numerical solutions... This paper considers the asymptotic stability of linear multistep(LM)methods for neutral systems with distributed delays.In particular,several sufficient conditions for delay-dependent stability of numerical solutions are obtained based on the argument principle.Compound quadrature formulae are used to compute the integrals.An algorithm is proposed to examine the delay-dependent stability of numerical solutions.Several numerical examples are performed to verify the theoretical results. 展开更多
关键词 neutral systems with distributed delays Linear multistep methods delaydependent stability Argument principle
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THE ALL-DELAY STABILITY OF DEGENERATE DIFFERENTIAL SYSTEMS WITH DELAY 被引量:3
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作者 Zhang Hai~(1,2) Li Xiaoyan~1 Jiang Wei~1 (1.School of Math.and Computation Science,Anhui University,Hefei 230039 2.School of Math.and Computation Science,Anqing Teachers College,Anqing 236011,Anhui) 《Annals of Differential Equations》 2008年第1期100-104,共5页
In this paper,the all-delay stability of degenerate differential systems with delay is discussed.We come up with some new criteria for evaluating the all-delay stability of degenerate differential systems with delay a... In this paper,the all-delay stability of degenerate differential systems with delay is discussed.We come up with some new criteria for evaluating the all-delay stability of degenerate differential systems with delay and degenerate neutral differential systems with delay.Also,we give an example to illustrate the main results. 展开更多
关键词 degenerate differential systems with delay degenerate neutral differential systems with delay all-delay stability asymptotic stability
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