Strong stability of positive and compartmental linear systems

• Autorzy: Kaczorek T.
• Języki publikacji: EN

Abstrakty

EN

The concept of strong stability is extended for positive and compartmental linear systems. It is shown that: 1) the asymptotically stable positive and compartmental systems are strongly stable if the eigenvalues of the system matrix are distinct, 2) electrical circuits consisting of resistances, capacitances (inductances) and source voltages are strongly stable.

Słowa kluczowe

EN

strong stability; positive; compartmental; linear; system; electrical circuit

• Wydawca: Polska Akademia Nauk, Wydział IV Nauk Technicznych
• Czasopismo: Bulletin of the Polish Academy of Sciences. Technical Sciences
• Rocznik: 2008
• Tom: Vol. 56, nr 1
• Strony: 3--7
• Opis fizyczny: Bibliogr. 7 poz., rys.

Twórcy

autor

Kaczorek T.

• Institute of Control and Industrial Electronics, Warsaw University of Technology, 75 Koszykowa St., 00-662 Warsaw, Poland,

Bibliografia

• [1] L. Farina and S. Rinald, Positive Linear Systems; Theory and Applications, J. Wiley, New York, 2000.
• [2] T. Kaczorek, Positive ID and 2D Systems, Springer Verlag, London, 200 I.
• [3] T. Kaczorek, "2D compartmental linear systems", Proc. Conf., Computer Applications in Electrotechnics, 93-99 (2004).
• [4] T. Kaczorek, "What is the relationship between the singular compartmental systems and the electrical circuits", Electrotechnical Review R8 (4),316-324 (2004).
• [5] N. Karcanias, G. Halikies, and A. Papageorgini, "Strong stability of internal system descriptions", Proc. European Control Conf., 1134-1141 (2007).
• [6] T. Kaczorek, Vectors and Matrices in Automation and Electrotechnics, Wydawnictwo Naukowo-Techniczne, Warszawa, 1998, (in Polish).
• [7] T. Kaczorek, "Electrical circuits as examples of positive singular continuous-time systems", Proc. SPETO 98, 37-43 (1998).