一类偏微分代数系统的可辨识性和全局稳定性分析
Identifiability and Global Stability Analysis on Some Partial Differential Algebraic System
摘要：
在边界充分光滑的高维有界区域上，研究了一类带边界条件的奇异偏微分方程组。利用偏微分方程的特征值理论，将系统初始化为无穷维广义系统。根据PDAE的频谱结构和收敛性分析，建立了系统的状态空间描述。给出了系统的全局稳定性结果。通过对具有社会行为的湿地保护系统的数值模拟，验证了该方法的适用性。
英文摘要：
We analysis some singular partial differential equations systems(PDAEs) with boundary conditions in high dimension bounded domain with sufficiently smooth boundary. With the eigenvalue theory of PDE the systems initially is formulated as an infinite-dimensional singular systems. The state space description of the system is built according to the spectrum structure and convergence analysis of the PDAEs. Some global stability results are provided. The applicability of the proposed approach is evaluated in numerical simulations on some wetland conservation system with social behaviour.
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