메뉴 건너뛰기




Volumn 44, Issue 3, 2006, Pages 816-866

A symbolic approach to performance analysis of quantized feedback systems: The scalar case

Author keywords

Chaotic control; Communication constraint; Entropy; Markov chains; Quantized feedback; Stability; Stabilization; Symbolic dynamics

Indexed keywords

CONSTRAINT THEORY; CONTROL EQUIPMENT; DIGITAL CONTROL SYSTEMS; INFORMATION ANALYSIS; PERFORMANCE;

EID: 33646549286     PISSN: 03630129     EISSN: None     Source Type: Journal    
DOI: 10.1137/S0363012903434315     Document Type: Article
Times cited : (11)

References (26)
  • 1
    • 0004280469 scopus 로고
    • Dover, New York, (corrected reprint of the 1965 original)
    • R.B. ASH, Information Theory, Dover, New York, 1990 (corrected reprint of the 1965 original).
    • (1990) Information Theory
    • Ash, R.B.1
  • 3
    • 0034223925 scopus 로고    scopus 로고
    • Quantized feedback stabilization of linear systems
    • R.W. BROCKETT AND D. LIBERZON, Quantized feedback stabilization of linear systems, IEEE Trans. Automat. Control, AC-45 (2000), pp. 1279-1289.
    • (2000) IEEE Trans. Automat. Control , vol.AC-45 , pp. 1279-1289
    • Brockett, R.W.1    Liberzon, D.2
  • 4
    • 33747520362 scopus 로고    scopus 로고
    • Études spectrales d'opérateurs de transfert et application
    • A. BROISE, F. DAL'BO, AND M. PEIGNÉ, Études spectrales d'opérateurs de transfert et application, Astérisque, 238 (1996), pp. 1-177.
    • (1996) Astérisque , vol.238 , pp. 1-177
    • Broise, A.1    Dal'Bo, F.2    Peigné, M.3
  • 6
    • 0025471774 scopus 로고
    • Stabilizing a linear system with quantized state feedback
    • D.F. DELCHAMPS, Stabilizing a linear system with quantized state feedback, IEEE Trans. Automat. Control, AC-35 (1990), pp. 916-924.
    • (1990) IEEE Trans. Automat. Control , vol.AC-35 , pp. 916-924
    • Delchamps, D.F.1
  • 7
    • 0035439608 scopus 로고    scopus 로고
    • Stabilization of linear systems with limited information
    • N. ELIA AND S. K MITTER, Stabilization of linear systems with limited information, IEEE Trans. Automat. Control, AC-46 (2001), pp. 1384-1400.
    • (2001) IEEE Trans. Automat. Control , vol.AC-46 , pp. 1384-1400
    • Elia, N.1    Mitter, S.K.2
  • 8
    • 33646588482 scopus 로고    scopus 로고
    • Chaotic quantized feedback stabilizers: The scalar case
    • F. FAGNANI, Chaotic quantized feedback stabilizers: The scalar case, Commun. Inf. Syst., 4 (2004), pp. 53-72.
    • (2004) Commun. Inf. Syst. , vol.4 , pp. 53-72
    • Fagnani, F.1
  • 9
    • 0141862131 scopus 로고    scopus 로고
    • Stability analysis and synthesis for scalar linear systems with a quantized feedback
    • F. FAGNANI AND S. ZAMPIERI, Stability analysis and synthesis for scalar linear systems with a quantized feedback, IEEE Trans. Automat. Control, AC-48 (2003), pp. 1569-1584.
    • (2003) IEEE Trans. Automat. Control , vol.AC-48 , pp. 1569-1584
    • Fagnani, F.1    Zampieri, S.2
  • 10
    • 4644236459 scopus 로고    scopus 로고
    • Quantized stabilization of linear systems: Complexity versus performance
    • F. FAGNANI AND S. ZAMPIERI, Quantized stabilization of linear systems: Complexity versus performance, IEEE Trans. Automat. Control, AC-49 (2004), pp. 1534-1548.
    • (2004) IEEE Trans. Automat. Control , vol.AC-49 , pp. 1534-1548
    • Fagnani, F.1    Zampieri, S.2
  • 11
    • 0004220560 scopus 로고
    • Springer-Verlag, New York
    • T.W. HUNGERFORD, Algebra, Springer-Verlag, New York, 1974.
    • (1974) Algebra
    • Hungerford, T.W.1
  • 12
    • 0001386063 scopus 로고
    • Théorie ergodique pour des classes d'opérations non completement continues
    • C.T. IONESCU-TULCEA AND G. MARINESCU, Théorie ergodique pour des classes d'opérations non completement continues, Ann. of Math., 52 (1950), pp. 140-147.
    • (1950) Ann. of Math. , vol.52 , pp. 140-147
    • Ionescu-Tulcea, C.T.1    Marinescu, G.2
  • 15
    • 84966227493 scopus 로고
    • On the existence of invariant measures for piecewise monotonic transformations
    • A. LASOTA AND J.A. YORKE, On the existence of invariant measures for piecewise monotonic transformations, Trans. Amer. Math. Soc., 186 (1973), pp. 481-488.
    • (1973) Trans. Amer. Math. Soc. , vol.186 , pp. 481-488
    • Lasota, A.1    Yorke, J.A.2
  • 16
    • 0037291675 scopus 로고    scopus 로고
    • On stabilization of linear systems with limited information
    • D. LIBERZON, On stabilization of linear systems with limited information, IEEE Trans. Automat. Control, AC-48 (2003), pp. 304-307.
    • (2003) IEEE Trans. Automat. Control , vol.AC-48 , pp. 304-307
    • Liberzon, D.1
  • 18
    • 21844485876 scopus 로고
    • Decay of correlations in piecewise expanding maps
    • C. LIVERANI, Decay of correlations in piecewise expanding maps, J. Statist. Phys., 78 (1995), pp. 1111-1129.
    • (1995) J. Statist. Phys. , vol.78 , pp. 1111-1129
    • Liverani, C.1
  • 19
    • 0035346907 scopus 로고    scopus 로고
    • Rigorous numerical investigation of the statistical properties of piecewise expanding maps. A feasibility study
    • C. LIVERANI, Rigorous numerical investigation of the statistical properties of piecewise expanding maps. A feasibility study, Nonlinearity, 3 (2001), pp. 463-490.
    • (2001) Nonlinearity , vol.3 , pp. 463-490
    • Liverani, C.1
  • 20
    • 0002663913 scopus 로고    scopus 로고
    • Stabilization with data-rate-limited feedback: Tightest attainable bounds
    • G.N. NAIR AND R.J. EVANS, Stabilization with data-rate-limited feedback: Tightest attainable bounds, Systems Control Lett., 41 (2000), pp. 49-56.
    • (2000) Systems Control Lett. , vol.41 , pp. 49-56
    • Nair, G.N.1    Evans, A.R.J.2
  • 21
    • 0037399651 scopus 로고    scopus 로고
    • Exponential stabilisability of finite-dimensional linear systems with limited data rates
    • G.N. NAIR AND R.J. EVANS, Exponential stabilisability of finite-dimensional linear systems with limited data rates, Automatica, 39 (2002), pp. 585-593.
    • (2002) Automatica , vol.39 , pp. 585-593
    • Nair, G.N.1    Evans, R.J.2
  • 22
    • 0035710954 scopus 로고    scopus 로고
    • Multirate stabilization of multivariable discrete-time linear systems via a limited capacity communication channel
    • Las Vegas
    • I.R. PETERSEN AND A.V. SAVKIN, Multirate stabilization of multivariable discrete-time linear systems via a limited capacity communication channel, in Proceedings of CDC Conference, Las Vegas, 2002, pp. 304-309.
    • (2002) Proceedings of CDC Conference , pp. 304-309
    • Petersen, I.R.1    Savkin, A.V.2
  • 23
    • 0036990708 scopus 로고    scopus 로고
    • Construction of invariant and attractive sets for quantized-input linear systems
    • Las Vegas
    • B. PICASSO, F. GOUAISBAUT, AND A. BICCHI, Construction of invariant and attractive sets for quantized-input linear systems, in Proceedings of CDC Conference, Las Vegas, 2002, pp. 824-829.
    • (2002) Proceedings of CDC Conference , pp. 824-829
    • Picasso, B.1    Gouaisbaut, F.2    Bicchi, A.3
  • 24
    • 0034366519 scopus 로고    scopus 로고
    • Absolutely continuous invariant measures for multidimensional expanding maps
    • B. SAUSSOL, Absolutely continuous invariant measures for multidimensional expanding maps, Israel J. Math., 116 (2000), pp. 223-248.
    • (2000) Israel J. Math. , vol.116 , pp. 223-248
    • Saussol, B.1
  • 25
    • 3843074264 scopus 로고    scopus 로고
    • Control under communication constraints
    • S. TATIKONDA AND S.K. MITTER, Control under communication constraints, IEEE Trans. Automat. Control, AC-49 (2004) pp. 1056-1068.
    • (2004) IEEE Trans. Automat. Control , vol.AC-49 , pp. 1056-1068
    • Tatikonda, S.1    Mitter, S.K.2
  • 26
    • 0032630083 scopus 로고    scopus 로고
    • Systems with finite communication bandwidth constraints II: Stabilization with limited information feedback
    • W.S. WONG AND R.W. BROCKETT, Systems with finite communication bandwidth constraints II: Stabilization with limited information feedback, IEEE Trans. Automat. Control, AC-44 (1999), pp. 1049-1053.
    • (1999) IEEE Trans. Automat. Control , vol.AC-44 , pp. 1049-1053
    • Wong, W.S.1    Brockett, R.W.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.