<abstract xml:lang="en" xmlns="http://www.w3.org/1999/xhtml"><p>The paper aims at extending the notion of regional controllability developed for linear systems to the semilinear hyperbolic case. We begin with an asymptotically linear system and the approach is based on an extension of the Hilbert uniqueness method and Schauder's fixed point theorem. The analytical case is then tackled using generalized inverse techniques and converted to a fixed point problem leading to an algorithm which is successfully implemented numerically and illustrated with examples.</p></abstract>

The paper aims at extending the notion of regional controllability developed for linear systems to the semilinear hyperbolic case. We begin with an asymptotically linear system and the approach is based on an extension of the Hilbert uniqueness method and Schauder's fixed point theorem. The analytical case is then tackled using generalized inverse techniques and converted to a fixed point problem leading to an algorithm which is successfully implemented numerically and illustrated with examples.

An Output Controllability Problem for Semilinear Distributed Hyperbolic Systems

MACS Group — AFACS UFR, Moulay Ismail University, Faculty of Sciences Meknes, Morocco

International Journal of Applied Mathematics and Computer Science

{"article-title":"An Output Controllability Problem for Semilinear Distributed Hyperbolic Systems"}

The paper aims at extending the notion of regional controllability developed for linear systems to the semilinear hyperbolic case. We begin with an...

An Output Controllability Problem for Semilinear Distributed Hyperbolic Systems

Publié en ligne: 07 janv. 2008

Pages: 437 - 448

DOI: https://doi.org/10.2478/v10006-007-0035-y

Mots clés
distributed parameter systems, semilinear hyperbolic systems, constrained controllability, fixed point

This content is open access.

An Output Controllability Problem for Semilinear Distributed Hyperbolic Systems

Publié en ligne: 07 janv. 2008

Pages: 437 - 448

DOI: https://doi.org/10.2478/v10006-007-0035-y

Mots clésdistributed parameter systems, semilinear hyperbolic systems, constrained controllability, fixed point

This content is open access.

Mots clés
distributed parameter systems, semilinear hyperbolic systems, constrained controllability, fixed point