Positive dynamical systems with delays

• Autorzy: Kalinowski J. , Klamka J.
• Języki publikacji: EN

Abstrakty

EN

In the paper using algebraic methods and method of steps new sufficient conditions for positivity of linear continuous-time dynamical systems with variable coefficients and distributed delay and several constant point delays are established. Neutral linear dynamical systems with several constant point delays are also discussed. As a special case linear dynamical systems without delays are also considered. Finally, illustrative example is given.

Słowa kluczowe

EN

linear systems; continuous time systems; positive systems with delays

PL

system liniowy

• Wydawca: Wydawnictwo Politechniki Poznańskiej
• Czasopismo: Fasciculi Mathematici
• Rocznik: 2005
• Tom: Nr 36
• Strony: 65--71
• Opis fizyczny: Bibliogr. 4 poz.

Twórcy

autor

Kalinowski J.

• Department of Mathematics, Silesian University Bankowa 14, 40-007 Katowice, Poland

autor

Klamka J.

• Department of Automation, Silesian Technical University Akademicka 16, 44-100 Gliwice

Bibliografia

• [1] Hale J., Theory of Functional Differential Equations, Springer-Verlag, New-York Heidelberg Berlin 1997.
• [2] Kaczorek T., Positive ID and 2D Systems, Springer-Verlag, Berlin 2001.
• [3] Klamka J., Kalinowski J., Reachability and Controllability of Positive Continuous Time Linear Systems with Time Variable Coefficients, Bull Pol Acad. Sci. Techn. Sci., 49(4)(2001), 623-632.
• [4] Ratajczak Z., On monotonic solutions of system of n linear homogeneous differential equations. Zeszyty Naukowe Politechniki Poznańskiej, seria Matematyka, 42(3)(1967), 59-65.