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2017 | OriginalPaper | Buchkapitel

New Delay-Dependent Stability for Neutral Systems with Its Application to Partial Circuit Model

verfasst von : Tao Li, Ting Wang, Jin Deng, Li Zhang

Erschienen in: Cloud Computing and Security

Verlag: Springer International Publishing

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Abstract

The issue on robust stability for a class of uncertain linear neutral systems with time-varying delays is studied. Together with multiple integral functional technique and using some novel integral inequalities, the much tighter estimation on derivative of Lyapunov functional is presented and one stability criterion is presented in terms of linear matrix inequalities (LMIs), in which those previously ignored information can be reconsidered. Especially, the multiple Lyapunov functional terms include the interconnection between neutral delay and state one. Finally, some comparing results with application to partial element circuit model can show the benefits of our conditions.

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Literatur
1.
Zurück zum Zitat Samli, R., Arik, S.: New results for global stability of a class of neutral-type neural systems with time delays. Appl. Math. Comput. 210, 564–570 (2009)CrossRefMATHMathSciNet Samli, R., Arik, S.: New results for global stability of a class of neutral-type neural systems with time delays. Appl. Math. Comput. 210, 564–570 (2009)CrossRefMATHMathSciNet
2.
Zurück zum Zitat Park, J., Kwon, O.: On new stability criterion for delay differential systems of neutral type. Appl. Math. Comput. 162, 627–637 (2005)CrossRefMATHMathSciNet Park, J., Kwon, O.: On new stability criterion for delay differential systems of neutral type. Appl. Math. Comput. 162, 627–637 (2005)CrossRefMATHMathSciNet
3.
Zurück zum Zitat Ding, L., He, Y., Wu, M., Ning, C.: Improved mixed-delay-dependent asymptotic stability criteria for neutral systems. IET Control Theory Appl. 9, 2180–2187 (2015)CrossRefMathSciNet Ding, L., He, Y., Wu, M., Ning, C.: Improved mixed-delay-dependent asymptotic stability criteria for neutral systems. IET Control Theory Appl. 9, 2180–2187 (2015)CrossRefMathSciNet
4.
Zurück zum Zitat Alaviani, S.: Delay-dependent exponential stability of linear time-varying neutral delay systems. IFAC-PapersOnLine 48, 177–179 (2015)CrossRef Alaviani, S.: Delay-dependent exponential stability of linear time-varying neutral delay systems. IFAC-PapersOnLine 48, 177–179 (2015)CrossRef
5.
Zurück zum Zitat Ren, Y., Feng, Z., Sun, G.: Improved stability conditions for uncertain neutral-type systems with time-varying delays. Int. J. Syst. Sci. 47, 1982–1993 (2016)CrossRefMATHMathSciNet Ren, Y., Feng, Z., Sun, G.: Improved stability conditions for uncertain neutral-type systems with time-varying delays. Int. J. Syst. Sci. 47, 1982–1993 (2016)CrossRefMATHMathSciNet
6.
Zurück zum Zitat Liu, P.: Improved results on delay-interval-dependent robust stability criteria for uncertain neutral-type systems with time-varying delays. ISA Trans. 60, 53–66 (2016)CrossRef Liu, P.: Improved results on delay-interval-dependent robust stability criteria for uncertain neutral-type systems with time-varying delays. ISA Trans. 60, 53–66 (2016)CrossRef
7.
Zurück zum Zitat Qian, W., Liu, J., Sun, Y., Fei, S.: A less conservative robust stability criteria for uncertain neutral systems with mixed delays. Math. Comput. Simul. 80, 1007–1017 (2010)CrossRefMATHMathSciNet Qian, W., Liu, J., Sun, Y., Fei, S.: A less conservative robust stability criteria for uncertain neutral systems with mixed delays. Math. Comput. Simul. 80, 1007–1017 (2010)CrossRefMATHMathSciNet
8.
Zurück zum Zitat Lu, R., Wu, H., Bai, J.: New delay-dependent robust stability criteria for uncertain neutral systems with mixed delays. J. Frankl. Inst. 351, 1386–1399 (2014)CrossRefMathSciNet Lu, R., Wu, H., Bai, J.: New delay-dependent robust stability criteria for uncertain neutral systems with mixed delays. J. Frankl. Inst. 351, 1386–1399 (2014)CrossRefMathSciNet
9.
Zurück zum Zitat Chen, Y., Qian, W., Fei, S.: Improved robust stability conditions for uncertain neutral systems with discrete and distributed delays. J. Frankl. Inst. 352, 2634–2645 (2015)CrossRefMathSciNet Chen, Y., Qian, W., Fei, S.: Improved robust stability conditions for uncertain neutral systems with discrete and distributed delays. J. Frankl. Inst. 352, 2634–2645 (2015)CrossRefMathSciNet
10.
Zurück zum Zitat Liu, S., Xiang, Z.: Exponential \(H_{\infty }\) output tracking control for switched neutral system with time-varying delay and nonlinear perturbations. Circuits Syst. Signal Process. 32(1), 103–121 (2013)CrossRefMathSciNet Liu, S., Xiang, Z.: Exponential \(H_{\infty }\) output tracking control for switched neutral system with time-varying delay and nonlinear perturbations. Circuits Syst. Signal Process. 32(1), 103–121 (2013)CrossRefMathSciNet
11.
Zurück zum Zitat Liu, Y., Ma, W., Mahmoud, M., Lee, S.: Improved delay-dependent exponential stability criteria for neutral-delay systems with nonlinear uncertainties. Appl. Math. Model. 39, 3164–3174 (2015)CrossRefMathSciNet Liu, Y., Ma, W., Mahmoud, M., Lee, S.: Improved delay-dependent exponential stability criteria for neutral-delay systems with nonlinear uncertainties. Appl. Math. Model. 39, 3164–3174 (2015)CrossRefMathSciNet
12.
Zurück zum Zitat Wang, W., Nguang, S., Zhong, S., Liu, F.: Delay-dependent stability criteria for uncertain neutral system with time-varying delays and nonlinear perturbations. Circuits Syst. Signal Process. 33(9), 2719–2740 (2014)CrossRef Wang, W., Nguang, S., Zhong, S., Liu, F.: Delay-dependent stability criteria for uncertain neutral system with time-varying delays and nonlinear perturbations. Circuits Syst. Signal Process. 33(9), 2719–2740 (2014)CrossRef
13.
Zurück zum Zitat Qiu, F., Cao, J., Hayat, T.: Delay-dependent stability of neutral system with mixed time-varying delays and nonlinear perturbations using delay-dividing approach. Cogn. Neurodyn. 9, 75–83 (2015)CrossRef Qiu, F., Cao, J., Hayat, T.: Delay-dependent stability of neutral system with mixed time-varying delays and nonlinear perturbations using delay-dividing approach. Cogn. Neurodyn. 9, 75–83 (2015)CrossRef
14.
Zurück zum Zitat Cheng, J., Zhu, H., Zhong, S., Li, G.: Novel delay-dependent robust stability criteria for neutral systems with mixed time-varying delays and nonlinear perturbations. Appl. Math. Comput. 219, 7741–7753 (2013)CrossRefMATHMathSciNet Cheng, J., Zhu, H., Zhong, S., Li, G.: Novel delay-dependent robust stability criteria for neutral systems with mixed time-varying delays and nonlinear perturbations. Appl. Math. Comput. 219, 7741–7753 (2013)CrossRefMATHMathSciNet
15.
Zurück zum Zitat Qiu, F., Cui, B., Ji, Y.: Further results on robust stability of neutral system with mixed time-varying delays and nonlinear perturbations. Nonlinear Anal.: Real World Appl. 11, 895–906 (2010)CrossRefMATHMathSciNet Qiu, F., Cui, B., Ji, Y.: Further results on robust stability of neutral system with mixed time-varying delays and nonlinear perturbations. Nonlinear Anal.: Real World Appl. 11, 895–906 (2010)CrossRefMATHMathSciNet
16.
Zurück zum Zitat Lakshmanan, S., Senthilkumar, T., Balasubraman, M.: Improved results on robust stability of neutral systems with mixed time-varying delays and nonlinear perturbations. Appl. Math. Model. 35, 5355–5368 (2011)CrossRefMATHMathSciNet Lakshmanan, S., Senthilkumar, T., Balasubraman, M.: Improved results on robust stability of neutral systems with mixed time-varying delays and nonlinear perturbations. Appl. Math. Model. 35, 5355–5368 (2011)CrossRefMATHMathSciNet
17.
Zurück zum Zitat Hui, J., Kong, X., Zhang, H., Zhou, X.: Delay-partitioning approach for systems with interval time-varying delay and nonlinear perturbations. J. Comput. Appl. Math. 281, 74–81 (2015)CrossRefMATHMathSciNet Hui, J., Kong, X., Zhang, H., Zhou, X.: Delay-partitioning approach for systems with interval time-varying delay and nonlinear perturbations. J. Comput. Appl. Math. 281, 74–81 (2015)CrossRefMATHMathSciNet
18.
19.
Zurück zum Zitat Qiu, F., Cui, B.: A delay-dividing approach to stability of neutral system with mixed delays and nonlinear perturbations. Appl. Math. Model. 34, 3701–3707 (2010)CrossRefMATHMathSciNet Qiu, F., Cui, B.: A delay-dividing approach to stability of neutral system with mixed delays and nonlinear perturbations. Appl. Math. Model. 34, 3701–3707 (2010)CrossRefMATHMathSciNet
20.
Zurück zum Zitat Chen, H., Wang, L.: New result on exponential stability for neutral stochastic linear system with time-varying delay. Appl. Math. Comput. 239, 320–325 (2015)MATHMathSciNet Chen, H., Wang, L.: New result on exponential stability for neutral stochastic linear system with time-varying delay. Appl. Math. Comput. 239, 320–325 (2015)MATHMathSciNet
21.
Zurück zum Zitat Obradovic, M., Milosevic, M.: Stability of a class of neutral stochastic differential equations with unbounded delay and Markovian switching and the Euler-Maruyama method. J. Comput. Appl. Math. 309(1), 244–266 (2017)CrossRefMATHMathSciNet Obradovic, M., Milosevic, M.: Stability of a class of neutral stochastic differential equations with unbounded delay and Markovian switching and the Euler-Maruyama method. J. Comput. Appl. Math. 309(1), 244–266 (2017)CrossRefMATHMathSciNet
22.
Zurück zum Zitat Liu, L., Zhu, Q.: Mean square stability of two classes of theta method for neutral stochastic differential delay equations. J. Comput. Appl. Math. 305(15), 55–67 (2016)CrossRefMATHMathSciNet Liu, L., Zhu, Q.: Mean square stability of two classes of theta method for neutral stochastic differential delay equations. J. Comput. Appl. Math. 305(15), 55–67 (2016)CrossRefMATHMathSciNet
23.
Zurück zum Zitat Balasubramaniam, P., Krishnasamy, R.: Robust exponential stabilization results for impulsive neutral time-delay systems with sector-bounded nonlinearity. Circuits Syst. Signal Process. 33(9), 2741–2759 (2014)CrossRefMathSciNet Balasubramaniam, P., Krishnasamy, R.: Robust exponential stabilization results for impulsive neutral time-delay systems with sector-bounded nonlinearity. Circuits Syst. Signal Process. 33(9), 2741–2759 (2014)CrossRefMathSciNet
24.
Zurück zum Zitat Raja, R., Zhu, Q., Senthilraj, S., Samidurai, R.: Improved stability analysis of uncertain neutral type neural networks with leakage delays and impulsive effects. Appl. Math. Comput. 266, 1050–1069 (2015)MathSciNet Raja, R., Zhu, Q., Senthilraj, S., Samidurai, R.: Improved stability analysis of uncertain neutral type neural networks with leakage delays and impulsive effects. Appl. Math. Comput. 266, 1050–1069 (2015)MathSciNet
25.
Zurück zum Zitat Yu, Y.: Global exponential convergence for a class of neutral functional differential equations with proportional delays. Math. Methods Appl. Sci. (2016). doi:10.1002/mma.3880 Yu, Y.: Global exponential convergence for a class of neutral functional differential equations with proportional delays. Math. Methods Appl. Sci. (2016). doi:10.​1002/​mma.​3880
26.
Zurück zum Zitat Xiong, L., Zhang, H., Li, Y.: Improved stability and \(H\) infinity performance for neutral systems with uncertain Markovian jumpinging. Nonlinear Anal.: Hybrid Syst. 19, 13–25 (2016)MathSciNet Xiong, L., Zhang, H., Li, Y.: Improved stability and \(H\) infinity performance for neutral systems with uncertain Markovian jumpinging. Nonlinear Anal.: Hybrid Syst. 19, 13–25 (2016)MathSciNet
27.
Zurück zum Zitat Yue, D., Han, Q.: A delay-dependent stability criterion of neutral systems and its application to a partial element equivalent circuit model. IEEE Trans. Circuits Syst.-II 51, 685–689 (2004)CrossRef Yue, D., Han, Q.: A delay-dependent stability criterion of neutral systems and its application to a partial element equivalent circuit model. IEEE Trans. Circuits Syst.-II 51, 685–689 (2004)CrossRef
28.
Zurück zum Zitat Zeng, H., He, Y., Wu, M., She, J.: New results on stability analysis for systems with discrete distributed delay. Automatica 63, 189–192 (2015)CrossRefMATHMathSciNet Zeng, H., He, Y., Wu, M., She, J.: New results on stability analysis for systems with discrete distributed delay. Automatica 63, 189–192 (2015)CrossRefMATHMathSciNet
29.
Zurück zum Zitat Park, M., Kwon, O., Park, J., Lee, S.: Stability of time-delay systems via Wirtinger-based double integral inequality. Automatica 55, 204–208 (2015)CrossRefMathSciNet Park, M., Kwon, O., Park, J., Lee, S.: Stability of time-delay systems via Wirtinger-based double integral inequality. Automatica 55, 204–208 (2015)CrossRefMathSciNet
30.
Zurück zum Zitat Li, T., Wang, T., Song, A., Fei, S.: Delay-derivative-dependent stability for delayed neural networks with unbounded distributed delay. IEEE Trans. Neural Netw. 21, 1365–1371 (2010)CrossRef Li, T., Wang, T., Song, A., Fei, S.: Delay-derivative-dependent stability for delayed neural networks with unbounded distributed delay. IEEE Trans. Neural Netw. 21, 1365–1371 (2010)CrossRef
31.
Zurück zum Zitat Li, T., Song, A., Fei, S.: Robust stability of stochastic Cohen-Grossberg neural networks with mixed time-varying delays. Neurocomputing 73, 542–551 (2009)CrossRef Li, T., Song, A., Fei, S.: Robust stability of stochastic Cohen-Grossberg neural networks with mixed time-varying delays. Neurocomputing 73, 542–551 (2009)CrossRef
Metadaten
Titel
New Delay-Dependent Stability for Neutral Systems with Its Application to Partial Circuit Model
verfasst von
Tao Li
Ting Wang
Jin Deng
Li Zhang
Copyright-Jahr
2017
DOI
https://doi.org/10.1007/978-3-319-68542-7_66