𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Constrained exact controllability of semilinear systems

✍ Scribed by Jerzy Klamka

Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
134 KB
Volume
47
Category
Article
ISSN
0167-6911

No coin nor oath required. For personal study only.

✦ Synopsis

In the paper inΓΏnite-dimensional dynamical control systems described by semilinear abstract di erential equations are considered. Using a generalized open-mapping theorem, su cient conditions for constrained exact local controllability are formulated and proved. It is generally assumed, that the values of admissible controls are in a convex and closed cone with vertex at zero. Constrained exact local controllability of semilinear abstract second-order dynamical systems are also formulated and proved. As an illustrative example, constrained exact local controllability problem for semilinear hyperbolic type distributed parameters dynamical system is solved in details. Some remarks and comments on the existing results for controllability of nonlinear dynamical systems are also presented.

πŸ“œ SIMILAR VOLUMES

Exact Controllability for Semilinear Wav
Exact Controllability for Semilinear Wave Equations
✍ Liangyu Li; Xu Zhang πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 81 KB

In this note, we prove the exact controllability for the semilinear wave equations in any space dimensions under the condition that the nonlinearity behaves like Ε½< < < < . ' o s ln s as s Βͺ Ο±.

Constrained Controllability of Nonlinear
Constrained Controllability of Nonlinear Systems
✍ Jerzy Klamka πŸ“‚ Article πŸ“… 1996 πŸ› Elsevier Science 🌐 English βš– 115 KB

In this paper infinite-dimensional dynamical systems described by nonlinear abstract differential equations are considered. Using the generalized open mapping theorem sufficient conditions for constrained exact local controllability are formulated and proved. It is generally assumed that the values