The interval parabolic system

• Autorzy: Oprzedkiewicz K.
• Języki publikacji: EN

Abstrakty

EN

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

EN

interval systems; parabolic systems; exponential stability

• Wydawca: Polish Academy of Sciences, Committee of Automatic Control and Robotics
• Czasopismo: Archives of Control Sciences
• Rocznik: 2003
• Tom: Vol. 13, no. 4
• Strony: 415--430
• Opis fizyczny: Bibliogr. 14 poz., rys.

Twórcy

autor

Oprzedkiewicz K.

• University of Mining and Metallurgy, Cracow, Poland,

Bibliografia

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• [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.
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• [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.