메뉴 건너뛰기




Volumn 21, Issue 10, 2011, Pages 1093-1111

Discrete-time control for switched positive systems with application to mitigating viral escape

Author keywords

discrete time control; optimal control; switched positive systems; viral mutation

Indexed keywords

DISCRETE-TIME CONTROL; GUARANTEED COST; GUARANTEED PERFORMANCE; HIV INFECTION; OPTIMAL CONTROL; OPTIMAL CONTROL LAW; OPTIMAL SWITCHING CONTROL; POSITIVE SYSTEMS; SIMPLIFYING ASSUMPTIONS; SIMULATION RESULT; SWITCHED LINEAR SYSTEM; SWITCHED POSITIVE SYSTEMS; VIRAL MUTATION;

EID: 79957594136     PISSN: 10498923     EISSN: 10991239     Source Type: Journal    
DOI: 10.1002/rnc.1628     Document Type: Article
Times cited : (323)

References (41)
  • 2
    • 0032047505 scopus 로고    scopus 로고
    • Multiple Lyapunov functional and other analysis tools
    • Branicky MS,. Multiple Lyapunov functional and other analysis tools. IEEE Transactions on Automatic Control 1998; 43: 475-482.
    • (1998) IEEE Transactions on Automatic Control , vol.43 , pp. 475-482
    • Branicky, M.S.1
  • 3
    • 2442472068 scopus 로고    scopus 로고
    • Uniform stability of switched linear systems: Extensions of LaSalle's principle
    • Hespanha JP,. Uniform stability of switched linear systems: extensions of LaSalle's principle. IEEE Transactions on Automatic Control 2004; 49: 470-482.
    • (2004) IEEE Transactions on Automatic Control , vol.49 , pp. 470-482
    • Hespanha, J.P.1
  • 5
    • 0032045898 scopus 로고    scopus 로고
    • Computation of piecewise quadratic Lyapunov functions for hybrid systems
    • PII S0018928698027949
    • Johansson M, Rantzer A,. Computation of piecewise quadratic Lyapunov functions for hybrid systems. IEEE Transactions on Automatic Control 1998; 43: 555-559. (Pubitemid 128737378)
    • (1998) IEEE Transactions on Automatic Control , vol.43 , Issue.4 , pp. 555-559
    • Johansson, M.1    Rantzer, A.2
  • 6
    • 0033311181 scopus 로고    scopus 로고
    • Basic problems in stability and design of switched systems
    • DOI 10.1109/37.793443
    • Liberzon D, Morse AS,. Basic problems in stability and design of switched systems. IEEE Control System Magazine 1999; 19: 59-70. (Pubitemid 30505850)
    • (1999) IEEE Control Systems Magazine , vol.19 , Issue.5 , pp. 59-70
    • Daniel, L.1    Morse A.Stephen2
  • 7
    • 33646769622 scopus 로고    scopus 로고
    • Stability and stabilization of discrete-time switched systems
    • Geromel JC, Colaneri P,. Stability and stabilization of discrete-time switched systems. International Journal of Control 2006; 79 (7): 719-728.
    • (2006) International Journal of Control , vol.79 , Issue.7 , pp. 719-728
    • Geromel, J.C.1    Colaneri, P.2
  • 9
    • 0034915492 scopus 로고    scopus 로고
    • Parameter dependent Lyapunov functions for discrete time systems with time varying parametric uncertainties
    • DOI 10.1016/S0167-6911(01)00118-9, PII S0167691101001189
    • Daafouz J, Bernussou J,. Parameter dependent Lyapunov functions for discrete-time systems with time varying parametric uncertainties. Systems and Control Letters 2001; 43: 355-359. (Pubitemid 32663764)
    • (2001) Systems and Control Letters , vol.43 , Issue.5 , pp. 355-359
    • Daafouz, J.1    Bernussou, J.2
  • 10
    • 0038392440 scopus 로고    scopus 로고
    • Reachability realization and stabilizability of switched linear discrete-time systems
    • DOI 10.1016/S0022-247X(02)00540-1
    • Xie GM, Wang L,. Reachability realization and stabilizability of switched linear discrete-time systems. Journal of Mathematical Analysis and Applications 2003; 280: 209-220. (Pubitemid 36645470)
    • (2003) Journal of Mathematical Analysis and Applications , vol.280 , Issue.2 , pp. 209-220
    • Xie, G.1    Wang, L.2
  • 11
    • 34047233062 scopus 로고    scopus 로고
    • A note on optimal control of autonomous switched systems on a finite time interval
    • Minnesota, U.S.A.
    • Spinelli W, Bolzern P, Colaneri P,. A note on optimal control of autonomous switched systems on a finite time interval. Proceedings of American Control Conference, Minnesota, U.S.A., 2006.
    • (2006) Proceedings of American Control Conference
    • Spinelli, W.1    Bolzern, P.2    Colaneri, P.3
  • 12
    • 0031701911 scopus 로고    scopus 로고
    • A unified framework for hybrid control: Model and optimal control theory
    • PII S0018928698009258
    • Branicky M, Bokar V, Mitter S,. A unified framework for hybrid control:model and optimal control theory. IEEE Transactions on Automatic Control 1998; 43 (1): 31-45. (Pubitemid 128743101)
    • (1998) IEEE Transactions on Automatic Control , vol.43 , Issue.1 , pp. 31-45
    • Branicky, M.S.1    Borkar, V.S.2    Mitter, S.K.3
  • 13
    • 0035279830 scopus 로고    scopus 로고
    • Optimal control of a class of hybrid systems
    • DOI 10.1109/9.911417, PII S0018928601025636
    • Cassandras C, Pepyne D, Wardi Y,. Optimal control of a class of hybrid systems. IEEE Transactions on Automatic Control 2001; 46 (3): 398-415. (Pubitemid 32297441)
    • (2001) IEEE Transactions on Automatic Control , vol.46 , Issue.3 , pp. 398-415
    • Cassandras, C.G.1    Pepyne, D.L.2    Wardi, Y.3
  • 14
    • 0742303977 scopus 로고    scopus 로고
    • Optimal control of switched systems based on parameterization of the switched instants
    • Xu X, Antsaklis P,. Optimal control of switched systems based on parameterization of the switched instants. IEEE Transactions on Automatic Control 2004; 49 (1): 2-16.
    • (2004) IEEE Transactions on Automatic Control , vol.49 , Issue.1 , pp. 2-16
    • Xu, X.1    Antsaklis, P.2
  • 15
  • 18
    • 0029254616 scopus 로고
    • Spectral characterization and pole assignment for positive linear discrete-time system
    • Rumchev VG, James DJ,. Spectral characterization and pole assignment for positive linear discrete-time system. International Journal Systems Science 1995; 26 (2): 295-312.
    • (1995) International Journal Systems Science , vol.26 , Issue.2 , pp. 295-312
    • Rumchev, V.G.1    James, D.J.2
  • 20
    • 0035889361 scopus 로고    scopus 로고
    • Stabilization of positive linear systems
    • DOI 10.1016/S0167-6911(01)00146-3, PII S0167691101001463
    • Leenheer PD, Aeyels D,. Stabilization of positive linear systems. Systems and Control Letters 2001; 44 (4): 259-271. (Pubitemid 33018678)
    • (2001) Systems and Control Letters , vol.44 , Issue.4 , pp. 259-271
    • De Leenheer, P.1    Aeyels, D.2
  • 21
    • 34447121901 scopus 로고    scopus 로고
    • On the stability of switched positive linear systems
    • DOI 10.1109/TAC.2007.899057
    • Gurvits L, Shorten R, Mason O,. On the stability of switched positive linear systems. IEEE Transactions on Automatic Control 2007; 52 (6): 1099-1103. (Pubitemid 47034040)
    • (2007) IEEE Transactions on Automatic Control , vol.52 , Issue.6 , pp. 1099-1103
    • Gurvits, L.1    Shorten, R.2    Mason, O.3
  • 22
    • 67649601053 scopus 로고    scopus 로고
    • On linear co-positive Lyapunov functions for sets of linear positive systems
    • Knorn F, Mason O, Shorten R,. On linear co-positive Lyapunov functions for sets of linear positive systems. Automatica 2009; 45 (8): 1943-1947.
    • (2009) Automatica , vol.45 , Issue.8 , pp. 1943-1947
    • Knorn, F.1    Mason, O.2    Shorten, R.3
  • 23
    • 79957617537 scopus 로고    scopus 로고
    • AIDS Epidemic Update
    • UNAIDS/WHO, AIDS Epidemic Update, 2007.
    • (2007) UNAIDS/WHO
  • 27
    • 37249076594 scopus 로고    scopus 로고
    • Antiretroviral therapy: Optimal sequencing of therapy to avoid resistance
    • Martinez-Cajas J, Wainberg MA,. Antiretroviral therapy: optimal sequencing of therapy to avoid Resistance. Drugs 2008; 68 (1): 43-72. (Pubitemid 350275684)
    • (2008) Drugs , vol.68 , Issue.1 , pp. 43-72
    • Martinez-Cajas, J.L.1    Wainberg, M.A.2
  • 31
    • 0030287949 scopus 로고    scopus 로고
    • Robust state-feedback stabilization of jump linear systems via LMIs
    • El Ghaoui L, Ait Rami M,. Robust stabilization of jump linear systems using linear matrix inequalities. International Journal of Robust and Nonlinear Control 1996; 6 (9): 1015-1022. (Pubitemid 126656904)
    • (1996) International Journal of Robust and Nonlinear Control , vol.6 , Issue.9-10 , pp. 1015-1022
    • El Ghaoui, L.1    Ait Rami, M.2
  • 32
    • 33947599361 scopus 로고    scopus 로고
    • Controller synthesis for positive linear systems with bounded controls
    • DOI 10.1109/TCSII.2006.886888
    • Ait Rami M, Tadeo F,. Controller synthesis for positive linear systems with bounded controls. IEEE Transactions on Circuits and Systems 2007; 54: 151-155. (Pubitemid 46477681)
    • (2007) IEEE Transactions on Circuits and Systems II: Express Briefs , vol.54 , Issue.2 , pp. 151-155
    • Rami, M.A.1    Tadeo, F.2
  • 34
    • 41049116503 scopus 로고    scopus 로고
    • Stabilizability of switched linear systems does not imply the existence of convex Lyapunov functions
    • Blanchini F, Savorgnan C,. Stabilizability of switched linear systems does not imply the existence of convex Lyapunov functions. Automatica 2008; 44 (4): 1166-1170.
    • (2008) Automatica , vol.44 , Issue.4 , pp. 1166-1170
    • Blanchini, F.1    Savorgnan, C.2
  • 37
    • 0000317840 scopus 로고    scopus 로고
    • Using mathematics to understand HIV immune dynamics
    • Kirschner D,. Using mathematics to understand HIV immune dynamics. AMS 1996; 43: 191-202.
    • (1996) AMS , vol.43 , pp. 191-202
    • Kirschner, D.1
  • 38
    • 0001918317 scopus 로고    scopus 로고
    • Mathematical analysis of HIV-1 dynamics in vivo
    • PII S0036144598335107
    • Perelson A, Nelson P,. Mathematical analysis of HIV-1 dynamics in vivo. SIAM Review 1999; 41: 3-44. (Pubitemid 129723746)
    • (1999) SIAM Review , vol.41 , Issue.1 , pp. 3-44
    • Perelson, A.S.1    Nelson, P.W.2
  • 39
    • 33846828381 scopus 로고    scopus 로고
    • Modelling of HIV infection: Vaccine readiness, drug effectiveness and therapeutical failures
    • DOI 10.1016/j.jprocont.2006.10.007, PII S0959152406001314
    • Xia X,. Modeling of HIV infection: vaccine readiness, drug effectiveness and therapeutical failures. Journal of Process Control 2007; 17: 253-260. (Pubitemid 46205319)
    • (2007) Journal of Process Control , vol.17 , Issue.3 , pp. 253-260
    • Xia, X.1
  • 40


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.