For the first time, in this paper, a stability test procedure is proposed for linear time-invariant fractional order systems (LTI FOS). Paper extends some basic results from the area of finite time and practical stability to linear, continuous, fractional order time invariant time-delay systems given in state space form. Sufficient conditions of this kind of stability, for particular class of f...

in this paper we introduce the concept of generalized baer-invariant of a pair of groups with respect to two varieties ? and ? of groups. we give some inequalities for the generalized baer-invariant of a pair of finite groups, when ? is considered to be the schur-baer variety. further, we present a sufficient condition under which the order of the generalized baer-invariant of a pair of finite ...

This paper investigates the stabilization problem for interconnected linear time-invariant (LTI) time-delay system by means of a linear time-invariant output feedback decentralized controller. The delays are assumed to be commensurate and can appear in the states, inputs, and outputs of the system. First, the canonical forms for time-delay systems with commensurate delays are introduced and cen...

Paper extends some basic results from the area of finite time and practical stability to linear, continuous, time invariant time-delay systems. Sufficient conditions of this kind of stability, for particular class of time-delay systems are derived.