𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Averaging of singularly perturbed systems

✍ Scribed by Götz Grammel

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
705 KB
Volume
28
Category
Article
ISSN
0362-546X

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

Averaging of three time scale singularly
Averaging of three time scale singularly perturbed control systems
✍ Vladimir Gaitsgory; Minh-Tuan Nguyen 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 145 KB

We investigate the asymptotic properties of singularly perturbed control systems with three time scales. We apply the averaging method to construct a limiting system for the slowest motion in the form of a di erential inclusion. Su cient conditions for the uniform convergence of the slowest trajecto

Averaging method for discontinuous Mayer
Averaging method for discontinuous Mayer's problem of singularly perturbed control systems
✍ M. Quincampoix; F. Watbled 📂 Article 📅 2003 🏛 Elsevier Science 🌐 English ⚖ 190 KB

In the present paper, we prove that the optimal cost of a Mayer's problem for a control system with singular perturbation does converge to the optimal cost of a Mayer's problem associated with control system obtained by averaging. The main novelty of our result lies on the fact that we did not requi

An averaging method for singularly pertu
An averaging method for singularly perturbed systems of semilinear differential inclusions with analytic semigroups
✍ Mikhail Kamenskii; Paolo Nistri 📂 Article 📅 2003 🏛 Elsevier Science 🌐 English ⚖ 159 KB

We consider a system of two semilinear parabolic inclusions depending on a small parameter ¿ 0 which is present both in front of the derivative in one of the two inclusions and in the nonlinear terms to model high-frequency inputs. The aim is to provide conditions in order to guarantee, for ¿ 0 su