Controllability of block diagonal systems and applications

Abstract:

In this paper we present necessary and sufficient conditions for the exact and approximate controllability of the following Block-Diagonal System representing a broad class of linear differential equations of the form z' = Az(t) + Bu(t), t>0, z σ Z, u σ U, where Z, U are Hilbert spaces, B σ L(U,Z), u σ L2(0,τ;U) and A : D(A) Z 7rarr; Z is the infinitesimal generator of a strongly continuous semigroup {T(t)} t≥0 in Z given by: T(t)z = ∞Σ j=1eAjtPjz, z σ Z, t ≥ 0 according to Lemma 1.1. We apply these results to the controlled nD wave equation, the controlled nD heat equation and thermoelastic plate equation. Copyright © 2011 Inderscience Enterprises Ltd.

Año de publicación:

2011

Keywords:

• controllability
• strongly continuous semigroup
• Block-diagonal system
• Applications

Fuente:

scopus

google