scispace - formally typeset
Search or ask a question

Showing papers by "Takehiro Mori published in 1981"


Journal ArticleDOI
TL;DR: In this paper, an algebraic stability criterion for linear time-varying systems employing a specific metric in state-space is derived, where the used metric includes arbitrary parameters as weights, but does not incorporate them.
Abstract: In this paper, we derive an algebraic stability criterion of linear time-varying systems employing a specific metric in state-space. Though the used metric includes arbitrary parameters as weights, the criterion itself does not incorporate them. However, if we ask for these parameters, an estimate of the transient state of the systems can be obtained through them. Three examples are illustrated to clarify the character of the obtained criterion.

15 citations


Journal ArticleDOI
TL;DR: In this paper, the determinant of the solution to the Lyapunov matrix equation was shown to be the same as in [5] and [6], and they gave another bound for this value.
Abstract: In [5] bound for the determinant of the solution to the Lyapunov matrix equation was reported. This note gives an another bound for this value.

11 citations