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arXiv · 1802.00609

An LMI Approach to Stability Analysis of Coupled Parabolic Systems

Masashi Wakaiki
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Abstract

We analyze the exponential stability of distributed parameter systems. The system we consider is described by a coupled parabolic partial differential equation with spatially varying coefficients. We approximate the coefficients by splitting space domains but take into account approximation errors during stability analysis. Using a quadratic Lyapunov function, we obtain sufficient conditions for exponential stability in terms of linear matrix inequalities.

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Masashi Wakaiki. 2018-02-02. An LMI Approach to Stability Analysis of Coupled Parabolic Systems. https://arxiv.org/abs/1802.00609

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