𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Local perturbations of generalized systems under feedback and derivative feedback

✍ Scribed by A. Díaz; Ma̱ I. García-Planas; S. Tarragona

Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
285 KB
Volume
56
Category
Article
ISSN
0898-1221

No coin nor oath required. For personal study only.

✦ Synopsis

Following V.I. Arnolds techniques, we construct a local canonical form called miniversal deformation, for a family of differentiable regularizable linear dynamical systems E ẋ(t) = Ax(t) + Bu(t) under feedback and derivative feedback equivalence. We show some applications to the analysis of perturbations of a given regularizable system.

📜 SIMILAR VOLUMES

Approximate, limiting and generalized tr
Approximate, limiting and generalized trajectories of feedback differential systems
✍ Ştefan Mirică 📂 Article 📅 2005 🏛 John Wiley and Sons 🌐 English ⚖ 152 KB

## Abstract In view of possible applications in Optimal Control, Differential Games and other fields, we obtain certain invariant characterizations of the limiting Euler trajectories and of the limiting Krassovskii‐Subbotin trajectories of large classes of feedback differential systems defined as p

Singularly perturbed systems of diffusio
Singularly perturbed systems of diffusion type and feedback control
✍ A. Van Harten 📂 Article 📅 1984 🏛 Elsevier Science 🌐 English ⚖ 1010 KB

Asymptotic analysis yields new insight about the behaviour and stability of controlled diffusion processes, and it is useful for the determination of optimal feedback loops.

The algebraic Riccati inequality: parame
The algebraic Riccati inequality: parametrization of solutions, tightest local frames and generalized feedback matrices
✍ Augusto Ferrante; Michele Pavon 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 159 KB

Extending on previous work by Faurre, Scherer and Pavon, a parametrization of the symmetric solutions of the algebraic Riccati inequality is established. This is then applied to derive new results on tightest local frames, and on generalized feedback matrices that arise in stochastic realization the