Analysis of Stability for Time-Invariant Linear Systems with Interval Coefficients

In this paper, the stability of time-invariant (continuous-time) free linear system with interval coefficients is researched. After the introduction of parametric representation for intervals and subsequently the extension of this representation to interval matrices, stability with the concept of Lyapanov is discussed and investigated. The most important result of this idea, is the ability of checking stability without considering some constraints on the system. By presenting several examples, the stability of these systems, is researched by using the expressed approach.

کلیدواژه ها:

Asymptotically stability ، Marginal stability ، Lyapunov function ، Sylvester criterion