A Method for Calculating the Invariant Sets of High Dimensional Linear Systems under Uncertaintyстатья
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Дата последнего поиска статьи во внешних источниках: 19 июля 2013 г.
Аннотация:The development of efficient computational methods for synthesizing controls of highdimensional linear systems is an important problem in theoretical
mathematics and its applications. This is especially
true for systems with geometrically constrained controls under uncertainty. It is well known that the synthesis of target controls under the indicated conditions
is based on the construction of weakly invariant sets
(retrograde reachable sets) generated by solving equations of the process under study. Below, we describe
methods for constructing such equations and corresponding invariant sets and discuss the computational features for highdimensional systems. The
approaches proposed are based on the application of
previously developed theory and methods of ellipsoidal approximations of multivalued functions.