A Sufficient and Controllability Necessary Condition for the of Linear Hybrid Systems

Absirm- An algebraic approach for the controllability analy sir of a class of h) brid control syslems rallcd cootrolled awltching linear h)hrid r y a e m r is proposcd. A rufficicnl and neccrrar, condition is obtained bared on the algebraic manipulalion 01 related system matriccs. This consequence is directly oriented Io numerical romputnlion of Ibe controllability. Beside that, the existing resull for LTI systems 141 and rerulls in 151. 1181, 1191, 1141 become special cases of Ihc result of this paper. Finally, numerical examples are used I o illuslralr Ihe obtained remlt