Linear Time Varying Systems Stability: A Bond Graph Approach

Gilberto González-A and Joel A. Gonzalez-V


Bond graph, LTV systems , Stability conditions, Lyapunov´s direct method


A bond graph model of a linear Time-Varying (LTV) system is presented. This bond graph can have LTV constitutive relations of the firelds, and transformer and gyrator LTV modules. Hence, a junction structure and the state variables equation of the bond graph can be obtained. Also, a Lemma to determine the stability conditions of a LTV system is proposed. In order to show the effectivinessof the proposed methodology, two examples are solved.

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