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The Stability of Linear Discrete Descriptor Systems Over the Finite Time Interval: An Overview
Dragutin Debeljković, Goran Simeunović, Veselin Mulić
This paper gives a detailed overview of the work and the results of many authors in the area of Non-Lyapunov (finite time stability, technical stability, practical stability, final stability) of a particular class of linear discrete descriptor systems. The geometric description of consistent initial conditions that generate tractable solutions to such problems and the construction of non-Lyapunov stability theory to bound rates of decay of such solutions are also investigated. The stabilty robusteness problem has been also treated and presented. This survey covers the period since 1985 up to nowadays and has a strong intention to present the main concepts and contributions that have been derived during the mentioned period throughout the world, published in respectable international journals or presented on workshops or prestigious conferences. Key words: linear system, discrete system, descriptor system, system stability, Non-Lyapunov stability, finite time stability.
Scientific Technical Review ,- 3-4, 2008 |