메뉴 건너뛰기




Volumn , Issue , 2012, Pages 92-97

Controller synthesis for positive systems under ℓ 1-induced performance

Author keywords

1 induced performance; Iterative algorithm; Linear Lyapunov functions; Positive systems

Indexed keywords

ANALYTICAL METHOD; ASYMPTOTICALLY STABLE; CONTROLLER DESIGNS; CONTROLLER SYNTHESIS; DESIGN CONDITION; INDUCED NORMS; ITERATIVE ALGORITHM; ITERATIVE LINEAR MATRIX INEQUALITY; NUMERICAL EXAMPLE; POSITIVE SYSTEMS; SUFFICIENT CONDITIONS; THEORETICAL RESULT;

EID: 84866705207     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/CCDC.2012.6244014     Document Type: Conference Paper
Times cited : (19)

References (23)
  • 1
    • 7044246187 scopus 로고    scopus 로고
    • Stability and dissipativity theory for nonnegative dynamical systems: A unified analysis framework for biological and physiological systems
    • W. Haddad and V. Chellaboina, "Stability and dissipativity theory for nonnegative dynamical systems: a unified analysis framework for biological and physiological systems," Nonlinear Analysis: Real World Applications, vol. 6(1), pp. 35-65, 2005.
    • (2005) Nonlinear Analysis: Real World Applications , vol.6 , Issue.1 , pp. 35-65
    • Haddad, W.1    Chellaboina, V.2
  • 2
    • 0025481289 scopus 로고
    • Equilibria, stability, and reachability of leslie systems with nonnegative inputs
    • S. Muratori and S. Rinaldi, "Equilibria, stability, and reachability of leslie systems with nonnegative inputs," IEEE Trans. Automat. Control, vol. 35(9), pp. 1065-1068, 1990.
    • (1990) IEEE Trans. Automat. Control , vol.35 , Issue.9 , pp. 1065-1068
    • Muratori, S.1    Rinaldi, S.2
  • 3
    • 77957693425 scopus 로고    scopus 로고
    • ∞ Positive Filtering for Positive Linear Discrete-Time Systems: An Augmentation Approach
    • ∞ Positive Filtering for Positive Linear Discrete-Time Systems: An Augmentation Approach," IEEE Trans. Automat. Control, vol. 55(10), pp. 2337-2342, 2010.
    • (2010) IEEE Trans. Automat. Control , vol.55 , Issue.10 , pp. 2337-2342
    • Li, P.1    Lam, J.2    Shu, Z.3
  • 5
    • 57149147432 scopus 로고    scopus 로고
    • Positive observers and dynamic output-feedback controllers for interval positive linear systems
    • Z. Shu, J. Lam, H. Gao, B. Du, and L. Wu, "Positive observers and dynamic output-feedback controllers for interval positive linear systems," IEEE Trans. Circuits and Systems (I), vol. 55(10), pp. 3209-3222, 2008.
    • (2008) IEEE Trans. Circuits and Systems (I) , vol.55 , Issue.10 , pp. 3209-3222
    • Shu, Z.1    Lam, J.2    Gao, H.3    Du, B.4    Wu, L.5
  • 7
    • 67349220777 scopus 로고    scopus 로고
    • Stability analysis of switched positive systems: A switched linear copositive Lyapunov function method
    • X. Liu, "Stability analysis of switched positive systems: A switched linear copositive Lyapunov function method," IEEE Trans. Circuits and Systems (II), vol. 56, pp. 414-418, 2009.
    • (2009) IEEE Trans. Circuits and Systems (II) , vol.56 , pp. 414-418
    • Liu, X.1
  • 8
    • 0000928778 scopus 로고    scopus 로고
    • On the existence of a positive realization
    • L. Farina, "On the existence of a positive realization," Systems & Control Letters, vol. 28, pp. 219-226, 1996.
    • (1996) Systems & Control Letters , vol.28 , pp. 219-226
    • Farina, L.1
  • 9
    • 2942530941 scopus 로고    scopus 로고
    • A tutorial on the positive realization problem
    • L. Benvenuti and L. Farina, "A tutorial on the positive realization problem," IEEE Trans. Automat. Control, vol. 49(5), p. 651C664, 2004.
    • (2004) IEEE Trans. Automat. Control , vol.49 , Issue.5
    • Benvenuti, L.1    Farina, L.2
  • 10
    • 2942538462 scopus 로고    scopus 로고
    • Dissipativity theory for nonnegative and compartmental dynamical systems with time delay
    • W. Haddad, V. Chellaboina, and T. Rajpurohit, "Dissipativity theory for nonnegative and compartmental dynamical systems with time delay," IEEE Trans. Automat. Control, vol. 49(5), pp. 747-751, 2004.
    • (2004) IEEE Trans. Automat. Control , vol.49 , Issue.5 , pp. 747-751
    • Haddad, W.1    Chellaboina, V.2    Rajpurohit, T.3
  • 11
    • 68249138708 scopus 로고    scopus 로고
    • Stability analysis of positive systems with bounded time-varying delays
    • X. Liu, W. Yu, and L. Wang, "Stability analysis of positive systems with bounded time-varying delays," IEEE Trans. Circuits and Systems (II), vol. 56, pp. 600-604, 2009.
    • (2009) IEEE Trans. Circuits and Systems (II) , vol.56 , pp. 600-604
    • Liu, X.1    Yu, W.2    Wang, L.3
  • 12
    • 72449162964 scopus 로고    scopus 로고
    • On stability and stabilizability of positive delay systems
    • L. Wu, J. Lam, Z. Shu, and B. Du, "On stability and stabilizability of positive delay systems," Asian Journal of Control, vol. 11, pp. 226-234, 2009.
    • (2009) Asian Journal of Control , vol.11 , pp. 226-234
    • Wu, L.1    Lam, J.2    Shu, Z.3    Du, B.4
  • 13
    • 0036540871 scopus 로고    scopus 로고
    • Stability of positive 2-D system described by the Roesser model
    • J. E. Kurek, "Stability of positive 2-D system described by the Roesser model," IEEE Trans. Circuits and Systems (I), vol. 49, pp. 531-533, 2002.
    • (2002) IEEE Trans. Circuits and Systems (I) , vol.49 , pp. 531-533
    • Kurek, J.E.1
  • 14
    • 0010574839 scopus 로고    scopus 로고
    • Robust stability of positive continuous-time systems
    • D. Hinrichsen and N. K. Son, "Robust stability of positive continuous-time systems," Numer. Funct. Anal. Opt., vol. 17, pp. 649-659, 1996.
    • (1996) Numer. Funct. Anal. Opt. , vol.17 , pp. 649-659
    • Hinrichsen, D.1    Son, N.K.2
  • 16
    • 77951142873 scopus 로고    scopus 로고
    • Internal positivity preserved model reduction
    • J. Feng, J. Lam, Z. Shu, and Q. Wang, "Internal positivity preserved model reduction," Int. J. Control, vol. 83(3), pp. 575-584, 2010.
    • (2010) Int. J. Control , vol.83 , Issue.3 , pp. 575-584
    • Feng, J.1    Lam, J.2    Shu, Z.3    Wang, Q.4
  • 17
    • 79957484309 scopus 로고    scopus 로고
    • ∞ model reduction for positive systems
    • ∞ model reduction for positive systems," Automatica, vol. 47, no. 7, pp. 1504-1511, 2011.
    • (2011) Automatica , vol.47 , Issue.7 , pp. 1504-1511
    • Li, P.1    Lam, J.2    Wang, Z.3    Date, P.4
  • 19
    • 33947599361 scopus 로고    scopus 로고
    • Controller synthesis for positive linear systems with bounded controls
    • M. Ait Rami and F. Tadeo, "Controller synthesis for positive linear systems with bounded controls," IEEE Trans. Circuits and Systems (II), vol. 54(2), pp. 151-155, 2007.
    • (2007) IEEE Trans. Circuits and Systems (II) , vol.54 , Issue.2 , pp. 151-155
    • Ait Rami, M.1    Tadeo, F.2
  • 21
    • 0032205831 scopus 로고    scopus 로고
    • A comparison between Hankel norms and induced system norms
    • W. Lu and G. Balas, "A comparison between Hankel norms and induced system norms," IEEE Trans. Automat. Control, vol. 43(11), pp. 1658-1662, 1998.
    • (1998) IEEE Trans. Automat. Control , vol.43 , Issue.11 , pp. 1658-1662
    • Lu, W.1    Balas, G.2
  • 22
    • 0032295816 scopus 로고    scopus 로고
    • Static output feedback stabilization: An ILMI approach
    • Y. Cao, J. Lam, and Y. Sun, "Static output feedback stabilization: An ILMI approach," Automatica, vol. 34(12), pp. 1641-1645, 1998.
    • (1998) Automatica , vol.34 , Issue.12 , pp. 1641-1645
    • Cao, Y.1    Lam, J.2    Sun, Y.3
  • 23
    • 26844569798 scopus 로고    scopus 로고
    • Control for stability and positivity: Equivalent conditions and computation
    • H. Gao, J. Lam, C. Wang, and S. Xu;, "Control for stability and positivity: equivalent conditions and computation," IEEE Trans. Circuits and Systems (II), vol. 52, pp. 540-544, 2005.
    • (2005) IEEE Trans. Circuits and Systems (II) , vol.52 , pp. 540-544
    • Gao, H.1    Lam, J.2    Wang, C.3    Xu, S.4


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.