메뉴 건너뛰기




Volumn 80, Issue 2, 2007, Pages 241-255

Shannon zero error capacity in the problems of state estimation and stabilization via noisy communication channels

Author keywords

[No Author keywords available]

Indexed keywords

CHANNEL CAPACITY; COMMUNICATION CHANNELS (INFORMATION THEORY); CONSTRAINT THEORY; CONTROL EQUIPMENT; LINEAR SYSTEMS; TELECOMMUNICATION LINKS;

EID: 33751176254     PISSN: 00207179     EISSN: 13665820     Source Type: Journal    
DOI: 10.1080/002071706000981775     Document Type: Article
Times cited : (66)

References (48)
  • 1
    • 0013363465 scopus 로고    scopus 로고
    • Feedback designs for controlling device arrays with communication channel bandwidth constraints
    • J. Baillieul, "Feedback designs for controlling device arrays with communication channel bandwidth constraints", in ARO Workshop on Smart Structures, 1999.
    • (1999) ARO Workshop on Smart Structures
    • Baillieul, J.1
  • 2
  • 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. Contr., 45, pp. 1279-1289, 2000.
    • (2000) IEEE Trans. Automat. Contr. , vol.45 , pp. 1279-1289
    • Brockett, R.W.1    Liberzon, D.2
  • 4
    • 0035439608 scopus 로고    scopus 로고
    • Stabilization of linear systems with limited information
    • N. Elia and S. Mitter, "Stabilization of linear systems with limited information", IEEE Trans. Automat. Contr., 46, pp. 1384-1400, 2001.
    • (2001) IEEE Trans. Automat. Contr. , vol.46 , pp. 1384-1400
    • Elia, N.1    Mitter, S.2
  • 6
    • 85086055895 scopus 로고    scopus 로고
    • Quadratic stabilization of sampled data systems with quantization
    • Barcelona
    • H. Ishii and T. Basar, "Quadratic stabilization of sampled data systems with quantization", in Proceedings of the 15th IFAC World Congress, Barcelona, 2002a.
    • (2002) Proceedings of the 15th IFAC World Congress
    • Ishii, H.1    Basar, T.2
  • 7
    • 0036990892 scopus 로고    scopus 로고
    • Remote control of LTI systems over networks with state quantization
    • Las Vegas, Nevada, USA, December
    • H. Ishii and T. Basar, "Remote control of LTI systems over networks with state quantization", in Proceedings of the 41st IEEE Conf. on Decision and Control, pp. 830-835, Las Vegas, Nevada, USA, December 2002b.
    • (2002) Proceedings of the 41st IEEE Conf. on Decision and Control , pp. 830-835
    • Ishii, H.1    Basar, T.2
  • 8
    • 0012204127 scopus 로고    scopus 로고
    • Limited data rate in control systems with networks
    • M. Thoma and M. Morari, Eds. Berlin: Springer
    • H. Ishii and B. Francis, "Limited data rate in control systems with networks", in Lecture Notes in Control and Information Sciences, M. Thoma and M. Morari, Eds. Berlin: Springer, 2002.
    • (2002) Lecture Notes in Control and Information Sciences
    • Ishii, H.1    Francis, B.2
  • 11
    • 0043093999 scopus 로고    scopus 로고
    • Hybrid feedback stabilization of systems with quantized signals
    • D. Liberzon, "Hybrid feedback stabilization of systems with quantized signals", Automatica, 39, pp. 1543-1554, 2003a.
    • (2003) Automatica , vol.39 , pp. 1543-1554
    • Liberzon, D.1
  • 12
    • 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. Contr., 48, pp. 304-307, 2003b.
    • (2003) IEEE Trans. Automat. Contr. , vol.48 , pp. 304-307
    • Liberzon, D.1
  • 15
    • 0018292109 scopus 로고
    • On the Shannon capacity of a graph
    • L. Lovász, "On the Shannon capacity of a graph", IEEE Trans. Inform. Theory, IT-25, pp. 1-7, 1979.
    • (1979) IEEE Trans. Inform. Theory , vol.IT-25 , pp. 1-7
    • Lovász, L.1
  • 18
    • 14344266749 scopus 로고    scopus 로고
    • Feedback stabilization of uncertain systems using a stochastic digital link
    • Atlantis, Bahamas, December
    • N.C. Martins, M.A. Dahleh, and N. Elia, "Feedback stabilization of uncertain systems using a stochastic digital link", in The 43rd IEEE Conference on Decision and Control, pp. 1889-1895, Atlantis, Bahamas, December 2004.
    • (2004) The 43rd IEEE Conference on Decision and Control , pp. 1889-1895
    • Martins, N.C.1    Dahleh, M.A.2    Elia, N.3
  • 19
    • 33644992229 scopus 로고    scopus 로고
    • Feedback stabilization of uncertain systems in the presence of a direct link
    • N.C. Martins, M.A. Dahleh and N. Elia, "Feedback stabilization of uncertain systems in the presence of a direct link", IEEE Trans. Automat. Contr., 51, pp. 438-447, 2006.
    • (2006) IEEE Trans. Automat. Contr. , vol.51 , pp. 438-447
    • Martins, N.C.1    Dahleh, M.A.2    Elia, N.3
  • 20
    • 9744254614 scopus 로고    scopus 로고
    • An analogue of Shannon information theory for networked control systems: Stabilization via a noisy discrete channel
    • Atlantis, Bahamas, December
    • A.S. Matveev and A.V. Savkin, "An analogue of Shannon information theory for networked control systems: Stabilization via a noisy discrete channel", in Proceedings of the 43rd IEEE Conference on Decision and Control, pp. 4491-4496, Atlantis, Bahamas, December 2004a.
    • (2004) Proceedings of the 43rd IEEE Conference on Decision and Control , pp. 4491-4496
    • Matveev, A.S.1    Savkin, A.V.2
  • 21
    • 14244269482 scopus 로고    scopus 로고
    • An analogue of Shannon information theory for networked control systems: State estimation via a noisy discrete channel
    • Atlantis, Bahamas, December
    • A.S. Matveev and A.V. Savkin, "An analogue of Shannon information theory for networked control systems: State estimation via a noisy discrete channel", in Proceedings of the 43rd IEEE Conference on Decision and Control, pp. 4485-4490, Atlantis, Bahamas, December 2004b.
    • (2004) Proceedings of the 43rd IEEE Conference on Decision and Control , pp. 4485-4490
    • Matveev, A.S.1    Savkin, A.V.2
  • 22
    • 30344481649 scopus 로고    scopus 로고
    • Comments on 'Control over Noisy Channels' and relevant negative results
    • A. Matveev and A. Savkin, "Comments on 'Control over Noisy Channels' and relevant negative results", IEEE Trans. Automat. Contr., 50, pp. 2105-2110, 2005a.
    • (2005) IEEE Trans. Automat. Contr. , vol.50 , pp. 2105-2110
    • Matveev, A.1    Savkin, A.2
  • 23
    • 33751160989 scopus 로고    scopus 로고
    • Almost sure nonobservability and nontabilizability of unstable noisy plants via communication channels with packet losses
    • Seville, Spain, December
    • A.S. Matveev and A.V. Savkin,. "Almost sure nonobservability and nontabilizability of unstable noisy plants via communication channels with packet losses", in the 44th IEEE Conference on Decision and Control and European Control Conference ECC 2005, Seville, Spain, pp. 7338-7341, December 2005b.
    • (2005) The 44th IEEE Conference on Decision and Control and European Control Conference ECC 2005 , pp. 7338-7341
    • Matveev, A.S.1    Savkin, A.V.2
  • 24
    • 27844505579 scopus 로고    scopus 로고
    • Multi-rate stabilization of linear multiple sensor systems via limited capacity communication channels
    • A.S. Matveev and A.V. Savkin, "Multi-rate stabilization of linear multiple sensor systems via limited capacity communication channels", SIAM J. Contr. Optimizat., 44, pp. 584-618, 2005e.
    • (2005) SIAM J. Contr. Optimizat. , vol.44 , pp. 584-618
    • Matveev, A.S.1    Savkin, A.V.2
  • 25
    • 43049152916 scopus 로고    scopus 로고
    • On a problem related to application of digital networked communication technology to stabilization of noisy plants over channels
    • Munich, Germany, October
    • A.S. Matveev and A.V. Savkin, "On a problem related to application of digital networked communication technology to stabilization of noisy plants over channels", in Proceedings of the 2006 IEEE Conference on Control Applications, pp. 2321-2326, Munich, Germany, October, 2006.
    • (2006) Proceedings of the 2006 IEEE Conference on Control Applications , pp. 2321-2326
    • Matveev, A.S.1    Savkin, A.V.2
  • 27
    • 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", Syst. Cont. Lett., 41, pp. 49-56, 2000.
    • (2000) Syst. Cont. Lett. , vol.41 , pp. 49-56
    • Nair, G.N.1    Evans, R.J.2
  • 28
    • 0036990493 scopus 로고    scopus 로고
    • Mean square stabilisability of stochastic linear systems with data rate constraints
    • Las Vegas, Nevada, December
    • G.N. Nair and R.J. Evans, "Mean square stabilisability of stochastic linear systems with data rate constraints", in Proc. of 41st IEEE Conf. Decision and Control, pp. 1632-1637, Las Vegas, Nevada, December 2002.
    • (2002) Proc. of 41st IEEE Conf. Decision and Control , pp. 1632-1637
    • Nair, G.N.1    Evans, R.J.2
  • 29
    • 0037399651 scopus 로고    scopus 로고
    • Exponential stabilisability of finite-dimensional linear systems with limited data rate
    • G.N. Nair and R.J. Evans, "Exponential stabilisability of finite-dimensional linear systems with limited data rate", Automatica, 39, pp. 585-593, 2003.
    • (2003) Automatica , vol.39 , pp. 585-593
    • Nair, G.N.1    Evans, R.J.2
  • 30
    • 16244401454 scopus 로고    scopus 로고
    • Stabilisability of stochastic linear systems with finite feedback data rates
    • G.N. Nair and R.J. Evans, "Stabilisability of stochastic linear systems with finite feedback data rates", SIAM J. Contr. Optimizat., 43, pp. 413-436, 2004.
    • (2004) SIAM J. Contr. Optimizat. , vol.43 , pp. 413-436
    • Nair, G.N.1    Evans, R.J.2
  • 32
    • 0035710954 scopus 로고    scopus 로고
    • Multi-rate stabilization of multi-variable discrete-time linear systems via a limited capacity communication channel
    • Orlando, Florida, December
    • I.R. Petersen and A.V. Savkin, "Multi-rate stabilization of multi-variable discrete-time linear systems via a limited capacity communication channel", in Proceedings of the 40th IEEE Conference on Decision and Control, pp. 304-309, Orlando, Florida, December 2001.
    • (2001) Proceedings of the 40th IEEE Conference on Decision and Control , pp. 304-309
    • Petersen, I.R.1    Savkin, A.V.2
  • 33
    • 0002686402 scopus 로고
    • A convergence theorem for non negative almost supermartingales and some applications
    • New York: Academic Press
    • H. Robbins and D. Siegmund, "A convergence theorem for non negative almost supermartingales and some applications", in Optimization Methods in Statistics, pp. 233-257, New York: Academic Press, 1971.
    • (1971) Optimization Methods in Statistics , pp. 233-257
    • Robbins, H.1    Siegmund, D.2
  • 34
    • 0013195915 scopus 로고    scopus 로고
    • PhD thesis, Massachusetts Institute of Technology
    • A. Sahai, "Anytime Information Theory", PhD thesis, Massachusetts Institute of Technology (2001).
    • (2001) Anytime Information Theory
    • Sahai, A.1
  • 35
    • 14344259740 scopus 로고    scopus 로고
    • The necessity and sufficiency of anytime capacity for control over a noisy communication channel
    • Atlantis, Bahamas, December
    • A. Sahai, "The necessity and sufficiency of anytime capacity for control over a noisy communication channel", in Proceedings of the 43rd IEEE Conf. on Decision and Control, pp. 1896-1901, Atlantis, Bahamas, December 2004.
    • (2004) Proceedings of the 43rd IEEE Conf. on Decision and Control , pp. 1896-1901
    • Sahai, A.1
  • 36
    • 27844463150 scopus 로고    scopus 로고
    • Analysis and synthesis of networked control systems: Topological entropy, observability, robustness, and optimal control
    • A.V. Savkin, "Analysis and synthesis of networked control systems: topological entropy, observability, robustness, and optimal control", Automatica, 42, pp. 51-62, 2006.
    • (2006) Automatica , vol.42 , pp. 51-62
    • Savkin, A.V.1
  • 37
    • 0037396338 scopus 로고    scopus 로고
    • Set-valued state estimation via a limited capacity communication channel
    • A.V. Savkin and I.R. Petersen, "Set-valued state estimation via a limited capacity communication channel", IEEE Trans. Autom. Cont., 48, pp. 676-681, 2003.
    • (2003) IEEE Trans. Autom. Cont. , vol.48 , pp. 676-681
    • Savkin, A.V.1    Petersen, I.R.2
  • 38
    • 84938009281 scopus 로고
    • The zero error capacity of a noisy channel
    • C.E. Shannon, "The zero error capacity of a noisy channel", IRE Trans. Inform. Theory, IT-2, pp. 8-19, 1956.
    • (1956) IRE Trans. Inform. Theory , vol.IT-2 , pp. 8-19
    • Shannon, C.E.1
  • 40
    • 4644228484 scopus 로고    scopus 로고
    • Scalar estimation and control with noisy binary observation
    • T. Simsek, R. Jain and P. Varaiya, "Scalar estimation and control with noisy binary observation", IEEE Trans. Automat. Cont., 49, pp. 1598-1603, 2004.
    • (2004) IEEE Trans. Automat. Cont. , vol.49 , pp. 1598-1603
    • Simsek, T.1    Jain, R.2    Varaiya, P.3
  • 43
    • 3843074264 scopus 로고    scopus 로고
    • Control under communication constraints
    • S. Tatikonda and S. Mitter, "Control under communication constraints", IEEE Trans. Automat. Contr., 49, pp. 1056-1068, 2004b.
    • (2004) IEEE Trans. Automat. Contr. , vol.49 , pp. 1056-1068
    • Tatikonda, S.1    Mitter, S.2
  • 44
    • 0032183117 scopus 로고    scopus 로고
    • Fifty years of Shannon theory
    • S. Verdú, "Fifty years of Shannon theory", IEEE Trans. Inform. Theory, 44, pp. 2057-2078, 1998.
    • (1998) IEEE Trans. Inform. Theory , vol.44 , pp. 2057-2078
    • Verdú, S.1
  • 46
    • 0031234627 scopus 로고    scopus 로고
    • Systems with finite communication bandwidth constraints - Part 1: State estimation problem
    • W.S. Wong and R.W. Brockett, "Systems with finite communication bandwidth constraints - part 1: state estimation problem", IEEE Trans. Automat. Contr., 42, pp. 1294-1299, 1997.
    • (1997) IEEE Trans. Automat. Contr. , vol.42 , pp. 1294-1299
    • Wong, W.S.1    Brockett, R.W.2
  • 47
    • 0032630083 scopus 로고    scopus 로고
    • Systems with finite communication bandwidth constraints - Part 2: Stabilization with limited information feedback
    • W.S. Wong and R.W. Brockett, "Systems with finite communication bandwidth constraints - part 2: stabilization with limited information feedback", IEEE Trans. Automat. Contr., 44, pp. 1049-11053, 1999.
    • (1999) IEEE Trans. Automat. Contr. , vol.44 , pp. 1049-11053
    • Wong, W.S.1    Brockett, R.W.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.