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Functional Differential Equations Application of i-smooth calculus

Beginning with the works of N.N.Krasovskii [81, 82, 83], which clari­ fied the functional nature of systems with delays, the functional approach provides a foundation for a complete theory of differential equations with delays. Based on the functional approach, different aspects of time-delay system...

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Bibliographic Details
Main Author: Kim, A.V.
Format: eBook
Language:English
Published: Dordrecht Springer Netherlands 1999, 1999
Edition:1st ed. 1999
Series:Mathematics and Its Applications
Subjects:
Functional Analysis
Calculus Of Variations And Optimization
Control Theory
Systems Theory, Control
System Theory
Differential Equations
Mathematical Optimization
Calculus Of Variations
Online Access:
Collection: Springer Book Archives -2004 - Collection details see MPG.ReNa
Table of Contents:
  • I i—Smooth Calculus
  • 1 Structure of Functionals
  • 2 Properties of Functionals. Invariant Derivative
  • 3 Generalized Derivatives of Nonlinear Functionals
  • II Functional Differential Equations
  • 4 Functional Differential Equations
  • 5 Neutral Functional Differential Equations
  • III Direct Lyapunov Method for Systems with Delays
  • 6 The Problem Statement
  • 7 The Lyapunov Functional Method
  • 8 The Lyapunov Function Method
  • 9 Instability
  • IV Dynamical Programming Method for Systems with Delays
  • 10 Systems with State Delays
  • 11 Systems with Control Delays
  • References

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