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Abstrakty
In the paper a nem interval model for the uncertain, parabolic time invariant system is presented. System under consideration is described by model with two dimensional uncertain parameters space. In this case the simple geometric interpretation of the system spectrum and it's decopmosition can be presented. The proposed spectrum decomposition conditions are based on the geometric interpretation of the system spectrum. the results are by the examples depicted.
Słowa kluczowe
Czasopismo
Rocznik
Tom
Strony
415--430
Opis fizyczny
Bibliogr. 14 poz., rys.
Twórcy
autor
- University of Mining and Metallurgy, Cracow, Poland, kop@uci.agh.edu.pl
Bibliografia
- [1] A.V. Balakrishnan: Applied functional analysis. Springer Verlag, 1979.
- [2] S. Bialas: The robust stability of the polynomials and matrices. UMM, Kraków, 2002, (in Polish).
- [3] M. Buslowicz: Stability of linear time invariant systems with uncertain parameters. Bialystok, 1997, (in Polish).
- [4] M. Buslowicz: The robust stability of the dynamic linear time invariant systems with delays. Comitee for Automatics and Robotics of Polish Academy of Sciences, Warsaw-Bialystok, 2000, (in Polish).
- [5] A. Feintuch: Robust Control Theory in Hilbert Space. Springer Verlag, 1998.
- [6] W.L. Kharitonov: Ob assimptoticeskoj ustojcivosti polozenija ravnovesija semejstva sistem liniejnych differencialnych uravnenij. Diff. Uravnienija, 14(11), (1978), 2086-2088, (in Russian).
- [7] X. Mao: Exponential Stability of Stochastic Delay Interval Systems with Markovian Switching. IEEE Trans. Aut. Cont., 47(10), (2002), 1064-1612.
- [8] W. Mitkowski: Stabilisation of the dynamic systems. PWN, Warsaw, 1991, (in Polish).
- [9] R. Moore: Interval Analysis. Prentice Hall, 1966.
- [10] R. Moore: Methods and Applications of Interval Analysis. SIAM, Philadelphia, 1979.
- [11] K. Oprzedkiewicz: An example of the parabolic system identification. Scientific Bulletins of UMM, Electrotechnics, bf 16(2), (1997), 99-106 (in Polish).
- [12] A. Pazy: Semigroups of Linear Operators and Applications to PDEs. Heidelberg Springer, 1983.
- [13] Y. Sakawa: Feedback stabilization of linear diffusion systems. SIAM J. Control and Optimization, 21(5), 667-676.
- [14] R. Triggiani: On the stabilizability problem in Banach space. J. Math. Anal. Appl., 52(3), (1975), 383-403.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BSW3-0007-0026