메뉴 건너뛰기




Volumn 56, Issue 4, 2008, Pages 313-317

Practical stability of positive fractional discrete-time linear systems

Author keywords

Discrete time; Fractional; Linear; Positive; Practical stability; Stability test; System

Indexed keywords

CONTINUOUS TIME SYSTEMS; LINEAR SYSTEMS; TURBULENT FLOW;

EID: 57749088785     PISSN: 02397528     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (110)

References (27)
  • 7
    • 45849137105 scopus 로고    scopus 로고
    • Fractional positive continuous-time linear systems and their reachability
    • T. Kaczorek, "Fractional positive continuous-time linear systems and their reachability", Int. J. Appl. Math. Comput. Sci. 18 (2), 223-228 (2008).
    • (2008) Int. J. Appl. Math. Comput. Sci , vol.18 , Issue.2 , pp. 223-228
    • Kaczorek, T.1
  • 8
    • 43649083020 scopus 로고    scopus 로고
    • Reachability and controllability to zero of positive fractional discrete-time systems
    • T. Kaczorek, "Reachability and controllability to zero of positive fractional discrete-time systems", Machine Intelligence and Robotics Control 6 (4), (2007).
    • (2007) Machine Intelligence and Robotics Control , vol.6 , Issue.4
    • Kaczorek, T.1
  • 9
    • 0034588716 scopus 로고    scopus 로고
    • The non-integer difference of the discrete-time function and its application to the control system synthesis
    • P. Ostalczyk, "The non-integer difference of the discrete-time function and its application to the control system synthesis", Int. J. Syst. Sci. 31 (12), 551-1561 (2000).
    • (2000) Int. J. Syst. Sci , vol.31 , Issue.12 , pp. 551-1561
    • Ostalczyk, P.1
  • 10
    • 33645304553 scopus 로고    scopus 로고
    • Modeling and control of dynamic system using fractional calculus: Application to electrochemical processes and flexible structures
    • NV
    • st IEEE Conf Decision and Control NV, 214-239 (2002).
    • (2002) st IEEE Conf Decision and Control , pp. 214-239
    • Vinagre, M.1    Feliu, V.2
  • 11
    • 0030696426 scopus 로고    scopus 로고
    • Fractional discrete-time linear systems
    • M.D. Ortigueira, "Fractional discrete-time linear systems", Proc. IEE-ICASSP 3, 2241-2244 (1997).
    • (1997) Proc. IEE-ICASSP , vol.3 , pp. 2241-2244
    • Ortigueira, M.D.1
  • 13
    • 37849037644 scopus 로고    scopus 로고
    • Choice of the forms of Lyapunov functions for positive 2D Roesser model
    • T. Kaczorek, "Choice of the forms of Lyapunov functions for positive 2D Roesser model", Int. J. Applied Math. and Comp. Scienes 17 (4), 471-475 (2007).
    • (2007) Int. J. Applied Math. and Comp. Scienes , vol.17 , Issue.4 , pp. 471-475
    • Kaczorek, T.1
  • 14
    • 57749115512 scopus 로고    scopus 로고
    • Asymptotic stability of positive ID and 2D linear systems
    • to be published
    • T. Kaczorek, "Asymptotic stability of positive ID and 2D linear systems", Proc. National Conf. of Automation, (2008), (to be published).
    • (2008) Proc. National Conf. of Automation
    • Kaczorek, T.1
  • 15
    • 67649541095 scopus 로고    scopus 로고
    • LMI approach to stability 2D positive systems with delays
    • CD ROM
    • T. Kaczorek, "LMI approach to stability 2D positive systems with delays", Multidimensional Systems and Signal Processing 18 (3), CD ROM (2008).
    • (2008) Multidimensional Systems and Signal Processing , vol.18 , Issue.3
    • Kaczorek, T.1
  • 16
    • 38549148242 scopus 로고    scopus 로고
    • An LMI approach to checking stability of 2D positive systems
    • M. Twardy, "An LMI approach to checking stability of 2D positive systems", Bull. Pol. Ac.: Tech. 55 (4), 379-383 (2007).
    • (2007) Bull. Pol. Ac.: Tech , vol.55 , Issue.4 , pp. 379-383
    • Twardy, M.1
  • 17
    • 38549148242 scopus 로고    scopus 로고
    • On the alternative stability criteria for positive systems
    • M. Twardy, "On the alternative stability criteria for positive systems", Bull. Pol. Ac.: Tech. 55 (4), 385-393 (2007).
    • (2007) Bull. Pol. Ac.: Tech , vol.55 , Issue.4 , pp. 385-393
    • Twardy, M.1
  • 18
    • 34247385898 scopus 로고    scopus 로고
    • Robust stability of positive discrete-time linear systems with multiple delays with unity rank uncertainty structure or non-negative perturbation matrices
    • M. Busłowicz, "Robust stability of positive discrete-time linear systems with multiple delays with unity rank uncertainty structure or non-negative perturbation matrices", Bull. Pol. Ac.: Tech. 55 (1), 347-350 (2007).
    • (2007) Bull. Pol. Ac.: Tech , vol.55 , Issue.1 , pp. 347-350
    • Busłowicz, M.1
  • 19
    • 57749106005 scopus 로고    scopus 로고
    • Robust stability of convex combination of two fractional degree characteristic polynomials
    • to be published
    • M. Busłowicz, "Robust stability of convex combination of two fractional degree characteristic polynomials", Acta Mechanica et Automatica 2, (2008), (to be published).
    • (2008) Acta Mechanica et Automatica , vol.2
    • Busłowicz, M.1
  • 20
    • 77949880036 scopus 로고    scopus 로고
    • Reachability and controllability to zero tests for standard and positive fractional discrete-time systems
    • to be published
    • T. Kaczorek, "Reachability and controllability to zero tests for standard and positive fractional discrete-time systems", J. Automation and System Engineering 2, (2008), (to be published).
    • (2008) J. Automation and System Engineering , vol.2
    • Kaczorek, T.1
  • 21
    • 43649083973 scopus 로고    scopus 로고
    • Reachability and controllability to zero of cone fractional linear systems
    • T. Kaczorek, "Reachability and controllability to zero of cone fractional linear systems", Archives of Control Scienes 17 (3), 357-367 (2007).
    • (2007) Archives of Control Scienes , vol.17 , Issue.3 , pp. 357-367
    • Kaczorek, T.1
  • 24
    • 33646729035 scopus 로고    scopus 로고
    • Fractional Kalman filter algorithm, for the states, parameters and order of fractional system estimation
    • D. Sierociuk and D. Dzieliński, "Fractional Kalman filter algorithm, for the states, parameters and order of fractional system estimation", Int. J. Appl. Math. Comp. Sci. 16 (1), 129-140 (2006).
    • (2006) Int. J. Appl. Math. Comp. Sci , vol.16 , Issue.1 , pp. 129-140
    • Sierociuk, D.1    Dzieliński, D.2
  • 27
    • 51849146631 scopus 로고    scopus 로고
    • Positive different orders fractional 2D linear systems
    • to be published
    • T. Kaczorek, "Positive different orders fractional 2D linear systems", Acta Mechanica et Automatica, (2008), (to be published).
    • (2008) Acta Mechanica et Automatica
    • Kaczorek, T.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.