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Dynamic analysis of generalized nonautonomous state space systems
Dragutin Lj. Debeljkoviæ Qingling Zhang
Generalized state space systems are those the dynamics of which is governed by a mixture of algebraic and differential equations. Some mathematical models have been shown to document this fact. The complex nature of generalized state space singular systems causes many difficulties in the analytical and numerical treatment of such systems, particularly when there is a need for their control. In that sense the question of their stability deserves great attention. A brief survey of the results concerning the stability of a particular class of these systems, operating in free as well as in forced regimes, in the sense of Lyapunov, is presented as a basis for their high quality dynamic investigation.
Key words: generalized state space systems, asymptotic stability, Lyapunov equation. |