메뉴 건너뛰기




Volumn 35, Issue 11, 2011, Pages 5355-5368

Improved results on robust stability of neutral systems with mixed time-varying delays and nonlinear perturbations

Author keywords

Interval time varying delays; Linear matrix inequality; Lyapunov Krasovskii functional; Neutral systems; Nonlinear perturbation; Robust stability

Indexed keywords

INTERVAL TIME-VARYING DELAYS; LYAPUNOV-KRASOVSKII FUNCTIONALS; NEUTRAL SYSTEMS; NONLINEAR PERTURBATIONS; ROBUST STABILITY;

EID: 79957673014     PISSN: 0307904X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.apm.2011.04.043     Document Type: Article
Times cited : (103)

References (37)
  • 1
    • 0000263176 scopus 로고
    • Asymptotic stability criteria for linear systems of differential equations of neutral type and their discrete analogues
    • Slemrod M., Infante E.F. Asymptotic stability criteria for linear systems of differential equations of neutral type and their discrete analogues. J. Math. Anal. Appl. 1972, 38:399-415.
    • (1972) J. Math. Anal. Appl. , vol.38 , pp. 399-415
    • Slemrod, M.1    Infante, E.F.2
  • 2
    • 68049121981 scopus 로고    scopus 로고
    • Robust stability analysis of uncertain systems with two additive time-varying delay components
    • Wu H., Liao X., Feng W., Guo S., Zhang W. Robust stability analysis of uncertain systems with two additive time-varying delay components. Appl. Math. Modell. 2009, 33:4345-4353.
    • (2009) Appl. Math. Modell. , vol.33 , pp. 4345-4353
    • Wu, H.1    Liao, X.2    Feng, W.3    Guo, S.4    Zhang, W.5
  • 3
    • 47249159953 scopus 로고    scopus 로고
    • Stability analysis of neutral systems with distributed delays
    • Li X.G., Zhu X.-J. Stability analysis of neutral systems with distributed delays. Automatica 2008, 44:2197-2201.
    • (2008) Automatica , vol.44 , pp. 2197-2201
    • Li, X.G.1    Zhu, X.-J.2
  • 4
    • 77955471876 scopus 로고    scopus 로고
    • ∞ filtering for linear neutral systems with mixed time-varying delays and nonlinear perturbations
    • ∞ filtering for linear neutral systems with mixed time-varying delays and nonlinear perturbations. J. Franklin Inst. 2010, 347:1374-1390.
    • (2010) J. Franklin Inst. , vol.347 , pp. 1374-1390
    • Zhang, D.1    Yu, L.2
  • 5
    • 77952012197 scopus 로고    scopus 로고
    • An improved delay-dependent criterion for asymptotic stability of uncertain dynamic systems with time-varying delays
    • Kwon O.M., Park J.H., Lee S.M. An improved delay-dependent criterion for asymptotic stability of uncertain dynamic systems with time-varying delays. J. Optim. Theory Appl. 2010, 145:343-353.
    • (2010) J. Optim. Theory Appl. , vol.145 , pp. 343-353
    • Kwon, O.M.1    Park, J.H.2    Lee, S.M.3
  • 6
    • 0036532961 scopus 로고    scopus 로고
    • Robust stability of uncertain delay-differential systems of neutral type
    • Han Q.L. Robust stability of uncertain delay-differential systems of neutral type. Automatica 2002, 38:719-723.
    • (2002) Automatica , vol.38 , pp. 719-723
    • Han, Q.L.1
  • 7
    • 34247100580 scopus 로고    scopus 로고
    • Delay-dependent stability analysis for uncertain neutral systems with time-varying delays
    • Liu X.G., Wu M., Martin R., Tang M.L. Delay-dependent stability analysis for uncertain neutral systems with time-varying delays. Math. Comput. Simul. 2007, 75:15-27.
    • (2007) Math. Comput. Simul. , vol.75 , pp. 15-27
    • Liu, X.G.1    Wu, M.2    Martin, R.3    Tang, M.L.4
  • 8
    • 52049096818 scopus 로고    scopus 로고
    • Improved exponential stability for time-varying systems with nonlinear delayed perturbations
    • Niamsup P., Mukdasai K., Phat V.N. Improved exponential stability for time-varying systems with nonlinear delayed perturbations. Appl. Math. Comput. 2008, 204:490-495.
    • (2008) Appl. Math. Comput. , vol.204 , pp. 490-495
    • Niamsup, P.1    Mukdasai, K.2    Phat, V.N.3
  • 10
    • 0001158603 scopus 로고    scopus 로고
    • Bifurcation of periodic solutions in a nonlinear difference-differential equation of neutral type
    • Brayton R.K. Bifurcation of periodic solutions in a nonlinear difference-differential equation of neutral type. Quart. Appl. Math. 1996, 24:215-224.
    • (1996) Quart. Appl. Math. , vol.24 , pp. 215-224
    • Brayton, R.K.1
  • 12
    • 0242659944 scopus 로고    scopus 로고
    • Delay-dependent robust stability criteria for uncertain neutral systems with mixed delays
    • He Y., Wu M., She J.H., Liu G.P. Delay-dependent robust stability criteria for uncertain neutral systems with mixed delays. Syst. Control Lett. 2004, 51:57-65.
    • (2004) Syst. Control Lett. , vol.51 , pp. 57-65
    • He, Y.1    Wu, M.2    She, J.H.3    Liu, G.P.4
  • 13
    • 77952951259 scopus 로고    scopus 로고
    • A delay-dividing approach to stability of neutral system with mixed delays and nonlinear perturbations
    • Qiu F., Cui B., Ji Y. A delay-dividing approach to stability of neutral system with mixed delays and nonlinear perturbations. Appl. Math. Modell. 2010, 34:3701-3707.
    • (2010) Appl. Math. Modell. , vol.34 , pp. 3701-3707
    • Qiu, F.1    Cui, B.2    Ji, Y.3
  • 14
    • 39649097222 scopus 로고    scopus 로고
    • On stability criteria for uncertain delay-differential systems of neutral type with time-varying delays
    • Kwon O.M., Park J.H., Lee S.M. On stability criteria for uncertain delay-differential systems of neutral type with time-varying delays. Appl. Math. Comput. 2008, 197:864-873.
    • (2008) Appl. Math. Comput. , vol.197 , pp. 864-873
    • Kwon, O.M.1    Park, J.H.2    Lee, S.M.3
  • 15
    • 0034179282 scopus 로고    scopus 로고
    • Stability conditions for a class of neutral systems with multiple delays
    • Lien C.H., Yu K.W., Hsieh J.G. Stability conditions for a class of neutral systems with multiple delays. J. Math. Anal. Appl. 2000, 245:20-27.
    • (2000) J. Math. Anal. Appl. , vol.245 , pp. 20-27
    • Lien, C.H.1    Yu, K.W.2    Hsieh, J.G.3
  • 16
    • 0035502878 scopus 로고    scopus 로고
    • Criteria for asymptotic stability of a class of neutral systems via a LMI approach
    • Chen J.D., Lien C.H., Fan K.K., Chou J.H. Criteria for asymptotic stability of a class of neutral systems via a LMI approach. IEE Proc. Control Theory Appl. 2001, 148:442-447.
    • (2001) IEE Proc. Control Theory Appl. , vol.148 , pp. 442-447
    • Chen, J.D.1    Lien, C.H.2    Fan, K.K.3    Chou, J.H.4
  • 17
    • 0034915494 scopus 로고    scopus 로고
    • New Lyapunov-Krasovskii functionals for stability of linear retarded and neutral type systems
    • Fridman E. New Lyapunov-Krasovskii functionals for stability of linear retarded and neutral type systems. Syst. Control Lett. 2001, 43:309-319.
    • (2001) Syst. Control Lett. , vol.43 , pp. 309-319
    • Fridman, E.1
  • 18
    • 0034256747 scopus 로고    scopus 로고
    • Stability of neutral delay-differential systems with nonlinear perturbations
    • Park J.H., Won S. Stability of neutral delay-differential systems with nonlinear perturbations. Int. J. Syst. Sci. 2000, 31:961-967.
    • (2000) Int. J. Syst. Sci. , vol.31 , pp. 961-967
    • Park, J.H.1    Won, S.2
  • 19
    • 0041326328 scopus 로고    scopus 로고
    • Delay-dependent exponential stability of a class of neutral systems with time delay and time-varying parameter uncertainties: an LMI approach
    • Yue D., Fang J., Won S. Delay-dependent exponential stability of a class of neutral systems with time delay and time-varying parameter uncertainties: an LMI approach. JSME Int. J. Ser. C 2003, 46:245-251.
    • (2003) JSME Int. J. Ser. C , vol.46 , pp. 245-251
    • Yue, D.1    Fang, J.2    Won, S.3
  • 20
    • 68349141647 scopus 로고    scopus 로고
    • Novel delay-dependent asymptotical stability of neutral systems with nonlinear perturbations
    • Xiong L., Zhong S., Li D. Novel delay-dependent asymptotical stability of neutral systems with nonlinear perturbations. J. Comput. Appl. Math. 2009, 232:505-513.
    • (2009) J. Comput. Appl. Math. , vol.232 , pp. 505-513
    • Xiong, L.1    Zhong, S.2    Li, D.3
  • 21
    • 79952827224 scopus 로고    scopus 로고
    • Robust stability of nonlinear time-delay systems with interval time-varying delay
    • Orihuela L., Millan P., Vivas C., Rubio F.R. Robust stability of nonlinear time-delay systems with interval time-varying delay. Int. J. Robust Nonlin. Control 2011, 21:709-724.
    • (2011) Int. J. Robust Nonlin. Control , vol.21 , pp. 709-724
    • Orihuela, L.1    Millan, P.2    Vivas, C.3    Rubio, F.R.4
  • 22
    • 51749105223 scopus 로고    scopus 로고
    • On robust stability criterion for dynamic systems with time-varying delays and nonlinear perturbations
    • Kwon O.M., Park J.H., Lee S.M. On robust stability criterion for dynamic systems with time-varying delays and nonlinear perturbations. Appl. Math. Comput. 2008, 203:937-942.
    • (2008) Appl. Math. Comput. , vol.203 , pp. 937-942
    • Kwon, O.M.1    Park, J.H.2    Lee, S.M.3
  • 23
    • 0034161081 scopus 로고    scopus 로고
    • Computation of robust stability bounds for time-delay systems with nonlinear time-varying perturbations
    • Cao Y.-Y., Lam J. Computation of robust stability bounds for time-delay systems with nonlinear time-varying perturbations. Int. J. Syst. Sci. 2000, 31:359-365.
    • (2000) Int. J. Syst. Sci. , vol.31 , pp. 359-365
    • Cao, Y.-Y.1    Lam, J.2
  • 24
    • 65549136373 scopus 로고    scopus 로고
    • New delay-dependent robust stability criterion for uncertain neutral systems with time-varying delay and nonlinear uncertainties
    • Shen C.C., Zhong S.M. New delay-dependent robust stability criterion for uncertain neutral systems with time-varying delay and nonlinear uncertainties. Chaos, Solitons Fractals 2009, 40:2277-2285.
    • (2009) Chaos, Solitons Fractals , vol.40 , pp. 2277-2285
    • Shen, C.C.1    Zhong, S.M.2
  • 25
    • 34249696515 scopus 로고    scopus 로고
    • Delay-dependent criteria for robust stability of linear neutral systems with time-varying delay and nonlinear perturbations
    • Yang B., Wang J.C., Pan X.J., Zhong C.Q. Delay-dependent criteria for robust stability of linear neutral systems with time-varying delay and nonlinear perturbations. Int. J. Syst. Sci. 2007, 38:511-518.
    • (2007) Int. J. Syst. Sci. , vol.38 , pp. 511-518
    • Yang, B.1    Wang, J.C.2    Pan, X.J.3    Zhong, C.Q.4
  • 26
    • 33749819705 scopus 로고    scopus 로고
    • New stability criterion for a class of linear systems with time-varying delay and nonlinear perturbations
    • Zou Z., Wang Y. New stability criterion for a class of linear systems with time-varying delay and nonlinear perturbations. IEE Proc. Control Theory Appl. 2006, 153:623-626.
    • (2006) IEE Proc. Control Theory Appl. , vol.153 , pp. 623-626
    • Zou, Z.1    Wang, Y.2
  • 27
    • 34247181932 scopus 로고    scopus 로고
    • Delay and its time-derivative dependent robust stability of neutral control system
    • Zhao Z., Wang W., Yang B. Delay and its time-derivative dependent robust stability of neutral control system. Appl. Math. Comput. 2007, 187:1326-1332.
    • (2007) Appl. Math. Comput. , vol.187 , pp. 1326-1332
    • Zhao, Z.1    Wang, W.2    Yang, B.3
  • 28
    • 3242890242 scopus 로고    scopus 로고
    • On robust stability for a class of linear systems with time-varying delay and nonlinear perturbations
    • Han Q.L. On robust stability for a class of linear systems with time-varying delay and nonlinear perturbations. Comput. Math. Appl. 2004, 47:1201-1209.
    • (2004) Comput. Math. Appl. , vol.47 , pp. 1201-1209
    • Han, Q.L.1
  • 29
    • 9944220130 scopus 로고    scopus 로고
    • Robust stability of linear neutral systems with nonlinear parameter perturbations
    • Han Q.L., Yu L. Robust stability of linear neutral systems with nonlinear parameter perturbations. IEE Proc. Control Theory Appl. 2004, 151:539-546.
    • (2004) IEE Proc. Control Theory Appl. , vol.151 , pp. 539-546
    • Han, Q.L.1    Yu, L.2
  • 30
    • 34548506510 scopus 로고    scopus 로고
    • Delay-dependent robust stability of neutral systems with mixed delays and nonlinear perturbations
    • Zhang W.A., Yu L. Delay-dependent robust stability of neutral systems with mixed delays and nonlinear perturbations. Acta Autom. Sin. 2007, 33:863-866.
    • (2007) Acta Autom. Sin. , vol.33 , pp. 863-866
    • Zhang, W.A.1    Yu, L.2
  • 31
    • 39749108712 scopus 로고    scopus 로고
    • On robustly exponential stability of uncertain neutral systems with time-varying delays and nonlinear perturbations
    • Chen Y., Xue A., Lu R., Zhou S. On robustly exponential stability of uncertain neutral systems with time-varying delays and nonlinear perturbations. Nonlinear Anal.: Theory, Methods Appl. 2008, 68:2464-2470.
    • (2008) Nonlinear Anal.: Theory, Methods Appl. , vol.68 , pp. 2464-2470
    • Chen, Y.1    Xue, A.2    Lu, R.3    Zhou, S.4
  • 32
    • 41849141985 scopus 로고    scopus 로고
    • Robust stability criteria for uncertain neutral system with time delay and nonlinear uncertainties
    • Zhang J.H., Peng S., Qiu J.Q. Robust stability criteria for uncertain neutral system with time delay and nonlinear uncertainties. Chaos, Solitons Fractals 2008, 38:160-167.
    • (2008) Chaos, Solitons Fractals , vol.38 , pp. 160-167
    • Zhang, J.H.1    Peng, S.2    Qiu, J.Q.3
  • 33
    • 70449623984 scopus 로고    scopus 로고
    • Further results on robust stability of neutral system with mixed time-varying delays and nonlinear perturbations
    • 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. 2010, 11:895-906.
    • (2010) Nonlinear Anal.: Real World Appl. , vol.11 , pp. 895-906
    • Qiu, F.1    Cui, B.2    Ji, Y.3
  • 34
    • 79251595500 scopus 로고    scopus 로고
    • Delay dependent stability analysis of neutral systems with mixed time-varying delays and nonlinear perturbations
    • Rakkiyappan R., Balasubramaniam P., Krishnasamy R. Delay dependent stability analysis of neutral systems with mixed time-varying delays and nonlinear perturbations. J. Comput. Appl. Math. 2010, 235:2147-2156.
    • (2010) J. Comput. Appl. Math. , vol.235 , pp. 2147-2156
    • Rakkiyappan, R.1    Balasubramaniam, P.2    Krishnasamy, R.3
  • 35
    • 43049129686 scopus 로고    scopus 로고
    • Stability criteria for uncertain neutral systems with interval time-varying delays
    • Yu K.W., Lien C.H. Stability criteria for uncertain neutral systems with interval time-varying delays. Chaos, Solitons Fractals 2008, 38:650-657.
    • (2008) Chaos, Solitons Fractals , vol.38 , pp. 650-657
    • Yu, K.W.1    Lien, C.H.2
  • 36
    • 67949094072 scopus 로고    scopus 로고
    • Delay-dependent stability and stabilization of neutral time-delay systems
    • Sun J., Liu G.P., Chen J. Delay-dependent stability and stabilization of neutral time-delay systems. Int. J. Robust Nonlinear Control 2009, 19:1364-1375.
    • (2009) Int. J. Robust Nonlinear Control , vol.19 , pp. 1364-1375
    • Sun, J.1    Liu, G.P.2    Chen, J.3
  • 37
    • 72449166420 scopus 로고    scopus 로고
    • A New delay-dependent stability criterion for time-delay systems
    • Sun J., Liu G.P. A New delay-dependent stability criterion for time-delay systems. Asian J. Control 2009, 11:427-431.
    • (2009) Asian J. Control , vol.11 , pp. 427-431
    • Sun, J.1    Liu, G.P.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.