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Volumn 58, Issue 5, 2011, Pages 309-313

Stability analysis of nonstandard nonlinear singularly perturbed discrete systems

Author keywords

Discrete time system; exponential stability; nonlinear singularly perturbed system (SPS)

Indexed keywords

ASYMPTOTIC STABILITY; DIGITAL CONTROL SYSTEMS; DISCRETE TIME CONTROL SYSTEMS;

EID: 79958771969     PISSN: 15497747     EISSN: 15583791     Source Type: Journal    
DOI: 10.1109/TCSII.2011.2149070     Document Type: Article
Times cited : (22)

References (20)
  • 3
    • 0004178386 scopus 로고    scopus 로고
    • 3rd ed. Upper Saddle River, NJ: Prentice-Hall
    • H. K. Khalil, Nonlinear Systems, 3rd ed. Upper Saddle River, NJ: Prentice-Hall, 2002.
    • (2002) Nonlinear Systems
    • Khalil, H.K.1
  • 4
    • 47549090251 scopus 로고    scopus 로고
    • Feedback linearisation of nonlinear singularly perturbed systems with non-separate slow-fast dynamics
    • Aug
    • J.-W. Son and J.-T. Lim, "Feedback linearisation of nonlinear singularly perturbed systems with non-separate slow-fast dynamics", IET Control Theory Appl., vol. 2, no. 8, pp. 728-735, Aug. 2008.
    • (2008) IET Control Theory Appl. , vol.2 , Issue.8 , pp. 728-735
    • Son, J.-W.1    Lim, J.-T.2
  • 5
    • 77953723095 scopus 로고    scopus 로고
    • Passivity analysis of uncertain singularly perturbed systems
    • Jun
    • Y. Gao, G. Lu, and Z. Wang, "Passivity analysis of uncertain singularly perturbed systems", IEEE Trans. Circuits Syst. II, Exp. Briefs, vol. 57, no. 6, pp. 486-490, Jun. 2010.
    • (2010) IEEE Trans. Circuits Syst. II, Exp. Briefs , vol.57 , Issue.6 , pp. 486-490
    • Gao, Y.1    Lu, G.2    Wang, Z.3
  • 6
    • 51749088802 scopus 로고    scopus 로고
    • General transformation for block diagonalization of multitime-scale singularly perturbed linear systems
    • Jun
    • N. Prljaca and Z. Gajic, "General transformation for block diagonalization of multitime-scale singularly perturbed linear systems", IEEE Trans. Autom. Control, vol. 53, no. 5, pp. 1303-1305, Jun. 2008.
    • (2008) IEEE Trans. Autom. Control , vol.53 , Issue.5 , pp. 1303-1305
    • Prljaca, N.1    Gajic, Z.2
  • 7
    • 0024750001 scopus 로고
    • Feedback control of nonstandard singularly perturbed systems
    • Oct
    • H. K. Khalil, "Feedback control of nonstandard singularly perturbed systems", IEEE Trans. Autom. Control, vol. 34, no. 10, pp. 1052-1060, Oct. 1989.
    • (1989) IEEE Trans. Autom. Control , vol.34 , Issue.10 , pp. 1052-1060
    • Khalil, H.K.1
  • 8
    • 0034825006 scopus 로고    scopus 로고
    • Descriptor system approach to nonlinear singularly perturbed optimal control problem
    • DOI 10.1016/S0005-1098(00)00185-0
    • E. Fridman, "A descriptor system approach to nonlinear singularly perturbed optimal control problem", Automatica, vol. 37, no. 4, pp. 543-549, Apr. 2001. (Pubitemid 32874758)
    • (2001) Automatica , vol.37 , Issue.4 , pp. 543-549
    • Fridman, E.1
  • 9
    • 33749827819 scopus 로고    scopus 로고
    • Stability analysis and control of non-standard nonlinear singularly perturbed system
    • DOI 10.1049/ip-cta:20050170
    • H.-L. Choi, J.-W. Son, and J.-T. Lim, "Stability analysis and control of non-standard singularly perturbed system", Proc. Inst. Elect. Eng.-Control Theory Appl., vol. 153, no. 6, pp. 703-708, Nov. 2006. (Pubitemid 44563930)
    • (2006) IEE Proceedings: Control Theory and Applications , vol.153 , Issue.6 , pp. 703-708
    • Choi, H.-L.1    Son, J.-W.2    Lim, J.-T.3
  • 10
    • 0021517695 scopus 로고
    • Stabilizing feedback controllers for singularly perturbed discrete systems
    • H. Kando and T. Iwazumi, "Stabilizing feedback controllers for singularly perturbed discrete systems", IEEE Trans. Syst., Man, Cybern., vol. SMC-14, no. 6, pp. 903-911, Nov./Dec. 1984. (Pubitemid 15454161)
    • (1984) IEEE Transactions on Systems, Man and Cybernetics , vol.SMC-14 , Issue.6 , pp. 903-911
    • Kando, H.1    Iwazumi, T.2
  • 12
    • 0033343391 scopus 로고    scopus 로고
    • Stability bounds of singularly perturbed discrete systems
    • DOI 10.1109/9.793780
    • T.-H. S. Li, J.-S. Chiou, and F.-C. Kung, "Stability bounds of singularly perturbed discrete systems", IEEE Trans. Autom. Control, vol. 44, no. 10, pp. 1934-1938, Oct. 1999. (Pubitemid 30546892)
    • (1999) IEEE Transactions on Automatic Control , vol.44 , Issue.10 , pp. 1934-1938
    • Li, T.-H.S.1    Chiou, J.-S.2    Kung, F.-C.3
  • 13
    • 70049097547 scopus 로고    scopus 로고
    • ∞ control of discrete singularly perturbed systems
    • Oct
    • ∞ control of discrete singularly perturbed systems", Automatica, vol. 45, no. 10, pp. 2339-2343, Oct. 2009.
    • (2009) Automatica , vol.45 , Issue.10 , pp. 2339-2343
    • Xu, S.1    Feng, G.2
  • 14
    • 0032120614 scopus 로고    scopus 로고
    • Stabilization and regulation of class of non-linear singularly perturbed discrete-time systems
    • PII S0016003297000379
    • R. Bouyekhf and A. E. Moudni, "Stabilization and regulation of class of non-linear singularly perturbed discrete-time systems", J. Franklin Inst., vol. 335 B, no. 5, pp. 963-982, Jul. 1998. (Pubitemid 128393985)
    • (1998) Journal of the Franklin Institute , vol.335 , Issue.5 , pp. 963-982
    • Bouyekhf, R.1    El Moudni, A.2
  • 15
    • 0035391658 scopus 로고    scopus 로고
    • Optimal control of a particular class of singularly perturbed nonlinear discrete-time systems
    • DOI 10.1109/9.935063, PII S0018928601066132
    • R. Bouyekhf, A. El Hami, and A. El Moudni, "Optimal control of a particular class of singularly perturbed nonlinear discrete-time systems", IEEE Trans. Autom. Control, vol. 46, no. 7, pp. 1097-1101, Jul. 2001. (Pubitemid 32732634)
    • (2001) IEEE Transactions on Automatic Control , vol.46 , Issue.7 , pp. 1097-1101
    • Bouyekhf, R.1    El Hami, A.2    El Moudni, A.3
  • 16
    • 0036691905 scopus 로고    scopus 로고
    • A new D-stability criterion of multiparameter singularly perturbed discrete systems
    • DOI 10.1109/TCSI.2002.801242, PII 1011092002801242
    • T.-H. S. Li and J.-S. Chiou, "A new D-stability criterion of multiparameter singularly perturbed discrete systems", IEEE Trans. Circuits Syst. I, Fundam. Theory Appl., vol. 49, no. 8, pp. 1226-1230, Aug. 2002. (Pubitemid 34974197)
    • (2002) IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications , vol.49 , Issue.8 , pp. 1226-1230
    • Li, T.-H.S.1    Chiou, J.-S.2
  • 18
    • 5444228408 scopus 로고    scopus 로고
    • Nonlinear small-gain theorems for discrete-time feedback systems and applications
    • Dec
    • Z.-P. Jiang, Y. Lin, and Y. Wang, "Nonlinear small-gain theorems for discrete-time feedback systems and applications", Automatica, vol. 40, no. 12, pp. 2129-2136, Dec. 2004.
    • (2004) Automatica , vol.40 , Issue.12 , pp. 2129-2136
    • Jiang, Z.-P.1    Lin, Y.2    Wang, Y.3
  • 19
    • 70349392030 scopus 로고    scopus 로고
    • Converse Lyapunov theorems for nonautonomous discrete-time systems
    • Z. Zeng, "Converse Lyapunov theorems for nonautonomous discrete-time systems", J. Math. Sci. (N. Y.), vol. 161, no. 2, pp. 337-343, 2009.
    • (2009) J. Math. Sci. (N. Y.) , vol.161 , Issue.2 , pp. 337-343
    • Zeng, Z.1
  • 20
    • 0031084464 scopus 로고    scopus 로고
    • Discrete-time stability with perturbations: Application to model predictive control
    • Mar
    • P. O. M. Scokaert, J. B. Rawlings, and E. S. Meadows, "Discrete-time stability with perturbations: Application to model predictive control", Automatica, vol. 33, no. 3, pp. 463-470, Mar. 1997.
    • (1997) Automatica , vol.33 , Issue.3 , pp. 463-470
    • Scokaert, P.O.M.1    Rawlings, J.B.2    Meadows, E.S.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.