17th International Symposium on
Mathematical Theory of Networks and Systems
Kyoto International Conference Hall, Kyoto, Japan, July 24-28, 2006

MTNS 2006 Paper Abstract

Close

Paper TuP05.1

Talasila, Viswanath (Imperial Coll.), Clemente-Gallardo, Jesus (Inst. de Biocomputacion y Fisica de los Sistemas Complejos), Astolfi, Alessandro (Imperial Coll.)

Normally Hyperbolic Controlled-Invariant Manifolds

Scheduled for presentation during the Regular Session "Nonlinear Control I" (TuP05), Tuesday, July 25, 2006, 15:20−15:45, Room F

17th International Symposium on Mathematical Theory of Networks and Systems, July 24-28, 2006, Kyoto, Japan

This information is tentative and subject to change. Compiled on June 23, 2024

Keywords Control of nonlinear systems, Algebraic and differential geometry

Abstract

In the dynamical systems community the concept of normal hyperbolicity has been used to devise efficient numerical algorithms for the computation of invariant manifolds. These numerical algorithms have been designed based on the proof of the Invariant Manifold Theorem and the concept of the graph transform. In this paper we present the first step of our research - we extend the Invariant Manifold Theorem of dynamical systems, to systems with inputs. We also briefly discuss the conditions under which a given controlled-invariant manifold can be determined to be normally-hyperbolic. The next step in our research will involve the design of algorithms for computing controlled-invariant manifolds.