A NEW LYAPUNOV EQUATION FOR DISCRETE - TIME DESCRIPTOR SYSTEMS ' Jog 0
نویسنده
چکیده
For discrete-time descriptor syslems, various generalized Lyapunov equations were studied in the literature. Howevn these well known generalized Lyapunov equations can be used only under some restrictive assumptions on the plant (as system regularity, or positiveness of a Q matrix, for example). To overcome these limitations, we propose in this paper a new generalized Lyapunov equation for discrete-time descriptor systems. that for discrete-time, all above authors imposed the regularity restriction in their stability analysis. Besides the restriction given by the regularity assumption, we show by some examples that it is necessary to consider other restrictive limitations on the plant in order to perform a stability analysis via those generalized Lyapunov equations. T o overcome these limitations, we propose in this paper a new generalized Lyapunov equation (GLE). 2. DEFINITIONS AND PRELIMINARIES
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