메뉴 건너뛰기




Volumn 3, Issue PART 1, 2009, Pages 138-143

Hybrid positive systems subject to Markovian switching

Author keywords

Jump linear system; Linear matrix inequality; Markovian process; Robust stability

Indexed keywords

INITIAL STATE; JUMP LINEAR SYSTEM; MARKOVIAN PROCESS; MARKOVIAN SWITCHING; POSITIVE LINEAR SYSTEMS; POSITIVE SYSTEMS; ROBUST STABILITY; STABILITY ANALYSIS; STABILIZING CONTROL LAW; STATE VARIABLES; STOCHASTIC STABILITY; SYNTHESIS DESIGN;

EID: 79960942814     PISSN: 14746670     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper
Times cited : (31)

References (28)
  • 2
    • 79960933294 scopus 로고
    • A collection of robust control problems leading to LMI
    • Packard, A., Zhou, K., Pandey, P. and Becker, G. (1991). A collection of robust control problems leading to LMI. IEEE CDC.
    • (1991) IEEE CDC
    • Packard, A.1    Zhou, K.2    Pandey, P.3    Becker, G.4
  • 3
    • 0016573780 scopus 로고
    • Application of m-matrices to the stability problems of composite dynamical systems
    • Araki, M. (1975). Application of m-matrices to the stability problems of composite dynamical systems. J. Math Analysis and Applications, 52, 309-321.
    • (1975) J. Math Analysis and Applications , vol.52 , pp. 309-321
    • Araki, M.1
  • 4
    • 0015386757 scopus 로고
    • Stability and transient behavior of composite nonlinear systems
    • Araki, M. and Kondo, B. (1972). Stability and transient behavior of composite nonlinear systems. IEEE trans. Aut. Control, 17, 537-541.
    • (1972) IEEE Trans. Aut. Control , vol.17 , pp. 537-541
    • Araki, M.1    Kondo, B.2
  • 5
    • 0029504870 scopus 로고
    • Discreate-time LQ-optimal control problems for infinite Markov jump parameter systems
    • Costa, O. and Fragoso, M. (1995). Discreate-time LQ-optimal control problems for infinite markov jump parameter systems. IEEE Trans. Aut. Control, 40, 2076-2088.
    • (1995) IEEE Trans. Aut. Control , vol.40 , pp. 2076-2088
    • Costa, O.1    Fragoso, M.2
  • 6
    • 0030287949 scopus 로고    scopus 로고
    • Robust state-feedback stabilization of jump linear systems via LMIs
    • EL Ghaoui, L. and Ait Rami, M. (1996). Robust state-feedback stabilization of jump linear systems using linear matrix inequalities. Int. J. of Robust and Nonlinear Control, 6, 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
  • 7
    • 0028494290 scopus 로고
    • Solution and asymptotic behavior of coupled riccati equations in jump linear systems
    • Abou-Kandil, H., Freiling, G. and Jank, G. (1994). Solution and asymptotic behavior of coupled riccati equations in jump linear systems. IEEE trans. Aut. Control, 39, 1631-1636.
    • (1994) IEEE Trans. Aut. Control , vol.39 , pp. 1631-1636
    • Abou-Kandil, H.1    Freiling, G.2    Jank, G.3
  • 8
    • 0007390824 scopus 로고
    • On the stability of systems with random parameters
    • Kats, I. and Krasovskii, N. (1960). On the stability of systems with random parameters. J. Appl. Math. Mec., 24, 1225-1246.
    • (1960) J. Appl. Math. Mec. , vol.24 , pp. 1225-1246
    • Kats, I.1    Krasovskii, N.2
  • 9
    • 0001682716 scopus 로고
    • Analytical design of controllers in systems with random attributes
    • Krasovskii, N. and Lidskii, E. (1961). Analytical design of controllers in systems with random attributes. Automation and Remote Control, 22, 1021-1025.
    • (1961) Automation and Remote Control , vol.22 , pp. 1021-1025
    • Krasovskii, N.1    Lidskii, E.2
  • 10
    • 0031197472 scopus 로고    scopus 로고
    • A cone complementarity linearization algorithm for static output-feedback and related problems
    • PII S0018928697042797
    • El Ghaoui, L., Oustry, F. and Ait Rami, M. (1997). A cone complementarity linearisation algorithm for static output-feedback and related problems. IEEE Trans. Aut. Control, 8, 1171-1176. (Pubitemid 127760291)
    • (1997) IEEE Transactions on Automatic Control , vol.42 , Issue.8 , pp. 1171-1176
    • El Ghaoui, L.1    Oustry, F.2    AitRami, M.3
  • 13
    • 34247385872 scopus 로고    scopus 로고
    • A finite steps algorithm for solving convex feasibility problems
    • DOI 10.1007/s10898-006-9088-y
    • Ait Rami, M., Moore, J., and Helmke, U. (2007). A finite steps algorithm for solving convex feasibility problems. J. Global Optimization, 38, 143-160. (Pubitemid 46639741)
    • (2007) Journal of Global Optimization , vol.38 , Issue.1 , pp. 143-160
    • Rami, M.A.1    Helmke, U.2    Moore, J.B.3
  • 16
    • 0022135889 scopus 로고
    • A homotopy algorithm for solving coupled riccati equations
    • Mariton, M. and Bertrand, B. (1985a). A homotopy algorithm for solving coupled riccati equations. IEEE Opt. Contr. Appl. Methods, 6, 351-357. (Pubitemid 16461990)
    • (1985) Optimal Control Applications and Methods , vol.6 , Issue.4 , pp. 351-357
    • Mariton, M.1    Bertrand, P.2
  • 17
    • 0022148885 scopus 로고
    • Robust jump linear quadratic control: A mode stabilizing solution
    • Mariton, M. and Bertrand, B. (1985b). Robust jump linear quadratic control: A mode stabilizing solution. IEEE Trans. Aut. Control, 30, 1145-1147. (Pubitemid 16524732)
    • (1985) IEEE Transactions on Automatic Control , vol.AC-30 , Issue.11 , pp. 1145-1147
    • Mariton, M.1    Bertrand, P.2
  • 18
    • 79960950458 scopus 로고    scopus 로고
    • Every mode robust stabilization of jump linear systems via lmi
    • Ait Rami, M. (1997a). Every mode robust stabilization of jump linear systems via lmi. IEEE Med. conference.
    • (1997) IEEE Med. Conference
    • Ait Rami, M.1
  • 19
    • 79960958648 scopus 로고    scopus 로고
    • Robust output-feedback stabilization of jump linear systems via lmi optimization
    • Ait Rami, M. (1997b). Robust output-feedback stabilization of jump linear systems via lmi optimization. Proc. IFAC Conference System Structure and Control.
    • (1997) Proc. IFAC Conference System Structure and Control
    • Ait Rami, M.1
  • 20
  • 21
    • 0030287555 scopus 로고    scopus 로고
    • LMI optimization for nonstandard Riccati equations arising in stochastic control
    • PII S0018928696075095
    • Ait Rami, M. and El Ghaoui, L. (1997). Lmi optimization for nonstandard riccati equations arising in stochastic control. IEEE trans. Aut. Control, 41, 1666-1671. (Pubitemid 126769011)
    • (1996) IEEE Transactions on Automatic Control , vol.41 , Issue.11 , pp. 1666-1671
    • Ait Rami, M.1    El Ghaoui, L.2
  • 22
    • 33947599361 scopus 로고    scopus 로고
    • Controller synthesis for positive linear systems with bounded controls
    • DOI 10.1109/TCSII.2006.886888
    • Ait Rami, M. and Tadeo, F. (2007). Controller synthesis for positive linear systems with bounded controls. IEEE. Trans. On Circuits and Systems-II, 57, 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
  • 23
    • 0037856528 scopus 로고
    • Linear matrix inequalities in system and control theory
    • Philadelphia, PA
    • Boyd, S., El Ghaoui, L., Feron, E. and Balakrishnan, V. (1994). Linear Matrix Inequalities in System and Control Theory. SIAM, Philadelphia, PA.
    • (1994) SIAM
    • Boyd, S.1    El Ghaoui, L.2    Feron, E.3    Balakrishnan, V.4
  • 24
    • 84930581460 scopus 로고
    • Feedback control of a class of linear systems with jump parameters
    • Sworder, D. (1969). Feedback control of a class of linear systems with jump parameters. IEEE Trans. Aut. Control, 14, 9-14.
    • (1969) IEEE Trans. Aut. Control , vol.14 , pp. 9-14
    • Sworder, D.1
  • 25
    • 0030106462 scopus 로고    scopus 로고
    • Semidefinite programming
    • Vandenberghe, L. and Boyd, S. (1996). Semidefinite programming. SIAM Review, 38, 49-95. (Pubitemid 126610912)
    • (1996) SIAM Review , vol.38 , Issue.1 , pp. 49-95
    • Vandenberghe, L.1    Boyd, S.2
  • 26
    • 0002256901 scopus 로고
    • Random differential equations in control theory
    • A. Bharucha-Reid (ed.) Chapman & Hall, New York
    • Wonham, W. (1970). Random differential equations in control theory. In A. Bharucha-Reid (ed.), Probabilistic methods in applied mathematics, volume 2, 131-212. Chapman & Hall, New York.
    • (1970) Probabilistic Methods in Applied Mathematics , vol.2 , pp. 131-212
    • Wonham, W.1
  • 27
  • 28
    • 37549011586 scopus 로고
    • Jump linear quadratic Gaussian control in continuous time
    • Ji, Y. and Chizeck, H. (1992). Jump linear quadratic gaussian control in continuous time. IEEE Trans. Aut. Control, 37, 1884-1892.
    • (1992) IEEE Trans. Aut. Control , vol.37 , pp. 1884-1892
    • Ji, Y.1    Chizeck, H.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.