How Violent Are Fast Controls?

Abstract

Consider a controllable system: first derivative of x with respect to time = Ax + Bu, with x(0) = 0. Given any time T > 0 there is then a control operator C(sub T) : xi yields u[dot] giving the (unique) minimum norm control such that x(T) = xi. The authors show that parallel to C(sub T) parallel to approximately gamma T(exp (-K+1/2)) where gamma is computable from A, B and K is the minimal exponent giving the rank condition.

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1987
Accession Number
ADA444380

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  • Thomas I. Seidman

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  • University of Maryland

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Fields of Study

  • Mathematics

Readers

  • Adaptive Control and Estimation with Uncertainty in Dynamic Systems.
  • Analytical Mechanics
  • Control Systems Engineering.