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

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

2010-07-22

arxiv.org/abs/1007.3946v1

Signal Process. 91 (2011), no. 3, 379--385

Mathematics

Optimization and Control

Submitted 30/Nov/2009; Revised (major revision) 24/April/2010; Accepted (after minor revision) 22/July/2010; for publication i

Scientific paper

10.1016/j.sigpro.2010.07.016

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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