On stability of time-varying linear differential-algebraic equations
نویسندگان
چکیده
We develop a stability theory for time-varying linear differential algebraic equations (DAEs). Well-known stability concepts of ordinary differential equations are generalised to DAEs and characterised. Lyapunov’s direct method is derived as well as the converse of the stability theorems. Stronger results are achieved for DAEs, which are transferable into standard canonical form; in this case the existence of the generalised transition matrix is exploited.
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ورودعنوان ژورنال:
- Int. J. Control
دوره 86 شماره
صفحات -
تاریخ انتشار 2013