Qualitative Results for Distributed Parameter Systems.

Abstract

Results on symmetrizable nonselfadjoint distributed parameter systems are reported on. Operator factorizations are used to characterize the dynamics of a subclass of non-conservative and nonselfadjoint linear distributed parameter systems modeled by partial differential equations subject to various boundary conditions. The results are used to characterize the dynamics of such systems. In addition, the control problem of the validity of using a finite dimensional model in designing a control law for such systems is discussed in terms of stabilization and convergence. In addition, results on damping ratios and on thermal runaway in strain heating has been determined. Also bounds on decay rates for various finite dimensional versions of structures have been derived.

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Document Details

Document Type
Technical Report
Publication Date
Nov 03, 1986
Accession Number
ADA177340

Entities

People

  • Daniel J Inman

Organizations

  • University at Buffalo

Tags

DTIC Thesaurus Topics

  • Abstracts
  • Air Force
  • Applied Mechanics
  • Convergence
  • Differential Equations
  • Dynamic Response
  • Dynamics
  • Equations
  • Flexible Structures
  • Information Science
  • Linear Systems
  • Mathematical Analysis
  • Mathematics
  • Mechanical Components
  • Mechanics
  • Modal Analysis
  • Partial Differential Equations

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Control Systems Engineering.