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q-nonuniform difference linear control systems
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Gaspard Bangerezako
Published/Copyright:
October 21, 2014
Abstract
We introduce q-nonuniform difference systems and propose q-nonuniform versions of some basic results of complete controllability and observability of linear systems such as criterions of controllability and observability, the q-duality theorem. An optimality necessary condition is also given for the case of the Ramsey model of economic growth.
Keywords: q-nonuniform difference systems; controllability; observability; optimal controllability; Ramsey model
The author acknowledges the Abdus Salam International Centre for Theoretical Physics (ICTP) for support and the referees for many comments having allowed to improve the original manuscript.
Received: 2013-4-2
Revised: 2013-12-6
Accepted: 2014-4-3
Published Online: 2014-10-21
Published in Print: 2014-12-1
© 2014 by De Gruyter
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- Growth and Lδ-approximation of solutions of the Helmholtz equation in a finite disk
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Keywords for this article
q-nonuniform difference systems;
controllability;
observability;
optimal controllability;
Ramsey model
Articles in the same Issue
- Frontmatter
- Hille–Wintner type comparison criteria for the half-linear differential equations of third order
- Para-CR structures on almost paracontact metric manifolds
- Growth and Lδ-approximation of solutions of the Helmholtz equation in a finite disk
- Products of Świątkowski and quasi-continuous functions
- q-nonuniform difference linear control systems
- Existence results for the Dirichlet problem of some degenerate nonlinear elliptic equations
- Wolfe-type second-order fractional symmetric duality
- On nonlinear mixed fractional integrodifferential equations with nonlocal condition in Banach spaces
