Control of Nonlinear Systems

Abstract

This Final Report summarizes accomplishments of the grant research. The work reported here deals with the mathematical foundations of nonlinear systems analysis and feedback control. It describes advances in input to state stability, which is a notion of stability with respect to input signals, loss, which a notion of well-posed detectability, and related concepts, resulting in necessary and sufficient characterizations in terms of dissipation inequalities. Other topics include control-Lyapunov functions, the design of feedback controllers by means of nonsmooth analysis techniques including viscosity subgradients, and the introduction of new notions of stability with respect to finite-energy measures as well as their complete characterization.

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Document Details

Document Type
Technical Report
Publication Date
Dec 01, 2000
Accession Number
ADA387778

Entities

People

  • Eduardo D. Sontag

Organizations

  • Rutgers University–New Brunswick

Tags

Communities of Interest

  • Air Platforms
  • C4I
  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Artificial Intelligence
  • Closed Loop Systems
  • Computer Science
  • Control Systems
  • Differential Equations
  • Dissipation
  • Equations
  • Feedback
  • Frequency
  • Inequalities
  • Information Science
  • Linear Systems
  • Lyapunov Functions
  • Mathematics
  • Nonlinear Analysis
  • Nonlinear Systems
  • Systems Analysis

Fields of Study

  • Mathematics

Readers

  • Adaptive Control and Estimation with Uncertainty in Dynamic Systems.
  • Control Systems Engineering.
  • Linear Algebra