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- Title
An extension of Klamka's method to positive descriptor discrete-time linear systems with bounded inputs.
- Authors
KACZOREK, TADEUSZ
- Abstract
The minimum energy control problem for the positive descriptor discrete-time linear systems with bounded inputs by the use of Weierstrass-Kronecker decomposition is formulated and solved. Necessary and sufficient conditions for the positivity and reachability of descriptor discrete-time linear systems are given. Conditions for the existence of solution and procedure for computation of optimal input and the minimal value of the performance index is proposed and illustrated by a numerical example.
- Subjects
DESCRIPTOR systems; DISCRETE-time systems; WEIERSTRASS-Stone theorem; FUNCTIONS of bounded variation; DECOMPOSITION method
- Publication
Archives of Control Sciences, 2018, Vol 28, Issue 2, p255
- ISSN
1230-2384
- Publication type
Article
- DOI
10.24425/123459