In fact, the error augmented system (7) is also an MJLS with deficient TRM in (4).
Finally, the continuous-time MJLS (1) will be assumed to be stable in the end.
where [n.sub.g] := [[summation].sup.N.sub.j=1] [[lambda].sub.qj] [Q.sub.j] have resolvable matrices Q = [[Q.sub.1], [Q.sub.2], ..., [Q.sub.n]} such that MJLS (7) with totally known TRs is randomly stable with an [H.sub.[infinity]] performance index [xi].
In the above section, firstly, we introduce an [H.sub.[infinity]] performance analysis criterion for the error augmented system (7) and further focus on the design of the FD reduced-order filter for MJLS (1) with deficient mode information.
Because the controller in (4) is two-mode dependent, the resulting closed-loop system in (7) depends on [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] and can be transformed to a special MJLS
. In addition, [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] is related to both [[tau].sup.sc.sub.k] and [h.sub.k].