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- Title
On a Random Topological Characteristic for Inclusions with Nonlinear Fredholm Operators: Applications to Some Classes of Feedback Control Systems.
- Authors
Obukhovskii, Valeri; Kornev, Sergey; Getmanova, Ekaterina
- Abstract
We define and study an oriented random coincidence index for a pair consisting of a nonlinear zero index Fredholm operator f and a nonconvex - valued random multivalued map G which is fundamentally restrictible with respect to f. It is shown how this characteristic can be used for the justification of the existence of random coincidence points.We present an application of developed results to the existence of a random solution for a control system whose dynamics is governed by an implicit integro-differential equation and the feedback is realized by a random differential inclusion.
- Subjects
FREDHOLM operators; COINCIDENCE; FEEDBACK control systems; AUTOMATIC control systems; AUTOMATION
- Publication
Advances in Systems Science & Applications, 2023, Vol 23, Issue 3, p48
- ISSN
1078-6236
- Publication type
Article