Robust Stability Analysis of Matrix Polytope

Shunji Kawamoto, Xinyu Huang, Katsuhiko Takino · Transactions of the Society of Instrument and Control Engineers · 1996

On the robust stability of linear system with uncertain parameters, the Lyapunov inequalities can be derived as a condition for the stable matrix polytope. In this paper, the P-region methed is proposed to find a symmetric positive definite matrix P among the inequalities, and a stability region for uncertain parameters of the example is obtained.

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