On the Structure of a Liapunov Functional for a Difference-Differential Equation with One Delay,

Abstract

A quadratic positive definite Liapunov functional that yields necessary and sufficient conditions for the asymptotic stability of the solutions of the matrix difference-differential equation dx(t)dt = Ax(t) + Bx(t-tau) is constructed and its structure is analyzed. The method of construction is a natural generalization of the same problem for an ordinary differential equation, and this relationship is emphasized. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Apr 01, 1978
Accession Number
ADA053802

Entities

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  • Ettore Ferrari Infante
  • W. B. Castelan

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  • Brown University

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  • Air Platforms
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  • Applied Mathematics
  • Complex Variables
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  • Differential Equations
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  • Integrals
  • Mathematical Analysis
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  • Mathematics

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  • Control Systems Engineering.
  • Linear Algebra