Abstract
We consider a class of nonlinear distributed parameters retarded systems governed by differential-delay equations in a Hilbert space. The considered equations have separated linear parts and sublinear nonlinearities. Explicit conditions are established for the absolute stability. Moreover, it is shown that these conditions separate equations that satisfy the generalized Aizerman-Myshkis hypothesis.
Original language | English |
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Pages (from-to) | 129-136 |
Number of pages | 8 |
Journal | IMA Journal of Mathematical Control and Information |
Volume | 20 |
Issue number | 1 |
DOIs | |
State | Published - 1 Mar 2003 |
Keywords
- Absolute stability
- Nonlinear distributed parameters retarded systems
- The Aizerman-Myshkis problem
ASJC Scopus subject areas
- Control and Systems Engineering
- Control and Optimization
- Applied Mathematics