In [2] the solutions of Andreoli's differential equation in genetic algebras with genetic realization were shown to converge to equilibria. Here we derive an explicit formula for these limits.
On continuous time models in genetic and Bernstein algebras
β Scribed by H. Gradl; S. Walcher
- Publisher
- Springer
- Year
- 1992
- Tongue
- English
- Weight
- 305 KB
- Volume
- 31
- Category
- Article
- ISSN
- 0303-6812
No coin nor oath required. For personal study only.
β¦ Synopsis
We discuss the long-time behavior of Andreoli's differential equation for genetic algebras and for Bernstein algebras and show convergence to an equilibrium in both cases. For a class of Bernstein algebras this equilibrium is determined explicitly.
π SIMILAR VOLUMES
This paper shows that one of the fundamental results of inventory theory is valid under conditions much broader than those treated previously. The result characterizes the distributions of inventory level and inventory position in the standard, continuous-time model with backorders, and leads to the
The standard state space solution of the finite-dimensional continuous time quadratic cost minimization problem has a straightforward extension to infinite-dimensional problems with bounded or moderately unbounded control and observation operators. However, if these operators are allowed to be suffi