For initial and initial-boundary value problems described by differential equations, stability requires the solutions to behave well for large times. For linear constant-coefficient problems, Fourier and Laplace transforms are used to convert stability problems to questions about roots of polynomial
Voting by Eliminating Quantifiers
✍ Scribed by Dov M. Gabbay; Andrzej Szałas
- Publisher
- Springer Netherlands
- Year
- 2009
- Tongue
- English
- Weight
- 232 KB
- Volume
- 92
- Category
- Article
- ISSN
- 0039-3215
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
We present a highly optimized method for the elimination of linear variables from a Boolean combination of polynomial equations and inequalities. In contrast to the basic method described earlier, the practical applicability of the present method goes far beyond academic examples. The optimization i
Many problems in control theory can be formulated as formulae in the first-order theory of real closed fields. In this paper we investigate some of the expressive power of this theory. We consider dynamical systems described by polynomial differential equations subjected to constraints on control an