Some properties of solutions of the semi-state model for nonlinear nonstationary systems |
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Authors: | Mirko M Milić Vladimir B Bajić |
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Affiliation: | 1. Faculty of Electrical Engineering, Univ. of Belgrade, P.O.B. 816, 11001, Belgrade, Yugoslavia 2. Ei-Honeywell, Terazije 3/IV, 11000, Belgrade, Yugoslavia
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Abstract: | Certain properties of solutions similar to set invariance, set attractivity, boundedness, BIBO stability, etc. are investigated for the semistate model $$P(t)\dot x = M(t,x)x + D(t,x)u,y = q(t,x,u).$$ For systems considered, it is assumed that the reduction to a normal form of lower order is not possible. Using the direct method of Liapunov, the properties of solutions are investigated without actual knowledge of solutions. |
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