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Liapunov stability of linear discrete descriptive systems: retrospective of results
Dragutin Lj. Debeljković Dr Mića B. Jovanović Vesna Drakulić
Descriptive systems are mathematically presented as a
combination of difference and algebraic equations, the latter being a constraint
which a general solution ought to satisfy at any moment. There are descriptive
systems in almost all engineering branches but they are less frequent than
continual ones. They frequently occur in electromagnetic fields, optimization
problems, continuous system discretization procedures and in the boundary case
of singularly-perturbed systems. A detailed, chronological survey of results
concerning Liapunov stability of this system class is given in the paper.
Ključne reči:
discrete systems, descriptive systems, Liapunov stability, matrix Liapunov
equation, characteristic of attracting zero equilibrium state. |