Controllability of block diagonal systems and applications. (29th March 2011)

• Record Type: Journal Article
• Authors: Larez, Hanzel; Leiva, Hugo; Uzcategui, Jahnett
• Is Part Of: International journal of systems, control and communications. Volume 3:Number 1(2011)
• Page Start: 64
• Page End: 81
• Publication Date: 2011-03-29
• Subjects: block diagonal systems -- controllability -- strongly continuous semigrous -- applications -- block diagonal control -- linear evolution equations -- Hilbert spaces -- nD wave equations -- nD heat equations -- thermoelastic plate equations; Computer networks -- Periodicals; Intelligent control systems -- Periodicals; Systems engineering -- Periodicals; 004.605
• Languages: English
• ISSNs: 1755-9340

Abstract

In this paper we present necessary a sufficient conditions for the exact and approximate controllability of Block-Diagonal Control Systems representing a broad class of linear evolution equations in Hilbert spaces. We apply these results to the controlled nD wave equation, heat equation and thermoelastic plate equation.