Accession Number : ADA117032

Title :   Algebraic Tests for Functional Controllability of Functional Differential Equation Systems.

Descriptive Note : Final scientific rept. 22 Dec 79-31 Dec 81,

Corporate Author : IOWA STATE UNIV AMES DEPT OF MATHEMATICS

Personal Author(s) : Triggiani,R

PDF Url : ADA117032

Report Date : May 1982

Pagination or Media Count : 6

Abstract : The first phase of work supported under the grant focused primarily on function space controllability properties, of interest in tracking problems, and in stabilizability properties, with arbitrarily preassigned exponential decay, for linear retarded control systems having delays in their dynamics. The second phase of work ample ground and evidence was provided that delay differential equations of retarded and neutral types on the one hand and distributed parameter systems of parabolic and hyperbolic types on the other hand are, somewhat surprisingly, closely related. It was pointed out that it is particularly within the context of semigroup theory that this link is brought up to light. Thus, it was asserted, the semigroup theory appeared to be capable of providing an altogether unexpected unifying approach to all these classes of apparently diverse dynamical systems. It was therefore natural to enlarge the original investigation as to include boundary control systems. Publications arising from this work are listed in the report. (Author)

Descriptors :   *Functional analysis, *Control systems, *Control theory, Stability, Partial differential equations, Delay, Retardation, Distribution, Parameters, Linear systems, Boundaries, Parabolas, Hyperbolas, Tracking

Subject Categories : Theoretical Mathematics
      Operations Research

Distribution Statement : APPROVED FOR PUBLIC RELEASE