The asymptotic stochastic stabilityin large of finite interconnected systems

• Autorzy: Dronka J. , Rybarska-Rusinek L.
• Języki publikacji: EN

Abstrakty

EN

The sufficient conditions of asymptotic string stability in large of some finite composite stochastic systems are established. Nonlinear systems are considered with random noise which obeys the law of large numbers. The objective is to analyze composite systems in their lower order subsystems and in term of their interconnecting structure.

Słowa kluczowe

EN

differential equations; stochastic system

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2002
• Tom: Vol. 35, nr 4
• Strony: 915--925
• Opis fizyczny: Bibliogr. 7 poz.

Twórcy

autor

Dronka J.

• Department of Mathematics, Technical University of Rzeszów, W. Pola 2, 35-959 Rzeszów, Poland

autor

Rybarska-Rusinek L.

• Department of Mathematics, Technical University of Rzeszów, W. Pola 2, 35-959 Rzeszów, Poland

Bibliografia

• [1] J. Eyre, D. Yanakiev and I. Kanellakopoulos, A simplified framework for string stability analysis of automated vehicles, Veh. Sys. Dyn. 30 (1998), 375-405.
• [2] R. Z. Khasminski, Stochastic Stability of Differential Equations, Sijthoff & Noordhoff, Alphen aan den Ryn, the Netherlands, 1980.
• [3] M. Marden, Geometry of Polynomials, 2nd ed., Amer. Math. Soc., Providence, R. I., 1966.
• [4] B. Skalmierski and A. Tylikowski, Stability of Dynamical Systems, PWN, Warsaw 1973 (in Polish).
• [5] L. Socha, The Asymptotic Stochastic Stability in Large of the Composite Stochastic Systems, Automatica J. IFAC 22 (1986), 605-610.
• [6] L. Socha, Exponential stability of singulary perturbed stochastic Systems, IEEE Trans. Autom. Control 45 (2000), 576-580.
• [7] D. Swaroop and J. K. Hedrick, String Stability of Interconnected Systems, IEEE Trans. Autom. Control 41 (1996), 349-356.