Modified Optimal Energy and Initial Memory of Fractional Continuous-Time Linear Systems

Dorota Mozyrska; Delfim F. M. Torres

doi:10.1016/j.sigpro.2010.07.016

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arXiv · 1007.3946

Modified Optimal Energy and Initial Memory of Fractional Continuous-Time Linear Systems

Dorota Mozyrska·Delfim F. M. Torres

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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.

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Dorota Mozyrska, Delfim F. M. Torres. 2010-07-22. Modified Optimal Energy and Initial Memory of Fractional Continuous-Time Linear Systems. https://doi.org/10.1016/j.sigpro.2010.07.016

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