Modified optimal energy and initial memory of fractional continuous-time linear systems

  • Authors:
  • Dorota Mozyrska;Delfim F. M. Torres

  • Affiliations:
  • BiaŁystok University of Technology, ul. Wiejska 45A, 15-351 BiaŁystok, Poland;Department of Mathematics, University of Aveiro, 3810-193 Aveiro, Portugal

  • Venue:
  • Signal Processing
  • Year:
  • 2011

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Abstract

Fractional systems with Riemann-Liouville derivatives are considered. The initial memory value problem is posed and studied. We obtain explicit steering laws with respect to the values of the fractional integrals of the state variables. The Gramian is generalized and steering functions between memory values are characterized.