Robust Stability of Linear Dynamic Systems with Application to Singular Perturbation Theory,

Abstract

A simple approach is given to determine conditions for stability of linear feedback systems subject to additive and multiplicative perturbations in the operators describing these systems. The approach is based on techniques used in functional analysis, and provides an alternative development and generalization of some conditions for the time-invariant case that have appeared in the literature very recently. As an example of the application of the conditions, we consider the determination of finite regions of stability for singularly perturbed systems. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Aug 04, 1978
Accession Number
ADA086582

Entities

People

  • Nils R. Sandell Jr.

Organizations

  • Massachusetts Institute of Technology

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Banach Space
  • Closed Loop Systems
  • Control Systems
  • Control Theory
  • Feedback
  • Frequency
  • Frequency Domain
  • Frequency Response
  • Functional Analysis
  • Linear Systems
  • Numerical Analysis
  • Perturbation Theory
  • Perturbations
  • Systems Engineering
  • Theorems
  • Transfer Functions
  • Vector Spaces

Fields of Study

  • Mathematics

Readers

  • Adaptive Control and Estimation with Uncertainty in Dynamic Systems.