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Robustness stability analysis of linear time-invariant discrete descriptive systems
Dragutin Lj.Debeljkoviæ Miæa B. Jovanoviæ Stevan A. Milinkoviæ
Descriptor state space systems are those the dynamics of which is governed by a mixture of algebraic and differential equations, so it is impossible to represent them in the classical form of so-called normal state space representations. In that sense the algebraic equations represent the constraints to the solution of the differential part. A basic dynamic analysis of these systems means the examination of their stability in the sense of Lyapunov, as well as in the sense of finite time and practical stability. Moreover, the aspect of developing explicit upper boundaries for the perturbation of such a class of systems, so that the perturbed system remains stable, has received much attention recently and is the subject of herein discussions. This significant concept is usually denoted as the concept of robustnees.
Key words: linear discrete descriptive systems, stability in the sense of Lyapunov, stability on finite time interval, practical stabilty, robustness. |