Constrained controllability and reachability of linear descriptor systems^*

^*The paper was done in part when the author was visiting the Department of Control Engineering. Tokyo Institute of Technology.Japan. The author would like to thank ProfessorK.Furuta and his co-workers for many useful discussions and valuable comments.

Abstract

The Paper derives new necessary and sufficient conditons for globally controllability and reachability of linear discrete-time descriptor systems with restrained controls. The main tool of the proofs is based on some extensions of the Banach open mapping theorem to set-valued convex closed functions. Illustrative examples are given.

Keywords:

• Descriptor Systems
• Controallability
• Reachability
• Set-valued Functions
• Banach Open Mapping Theorem

^*The paper was done in part when the author was visiting the Department of Control Engineering. Tokyo Institute of Technology.Japan. The author would like to thank ProfessorK.Furuta and his co-workers for many useful discussions and valuable comments.

^*The paper was done in part when the author was visiting the Department of Control Engineering. Tokyo Institute of Technology.Japan. The author would like to thank ProfessorK.Furuta and his co-workers for many useful discussions and valuable comments.

Notes

^*The paper was done in part when the author was visiting the Department of Control Engineering. Tokyo Institute of Technology.Japan. The author would like to thank ProfessorK.Furuta and his co-workers for many useful discussions and valuable comments.