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离散线性多时滞系统稳定的充分必要条件
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Abstract:
![\"\"](\"Edit_20b48192-58ab-4ddc-b7a9-01dbe626ebe2.jpg\" "\\"\\"")
的稳定性研究，当N > 2时是一个具有挑战性的难题。本文使用离散Lyapunov矩阵不等式结合复域空间二次型函数，利用二次型符号及连续函数的特性将稳定性计问题转换成多变量的极值问题，获得了时滞线性离散系统强稳定的充分必要条件，且表达形式较现有成果更简洁，具有较低的计算复杂度，较之现有计算复杂度n2，论文只需在n规模上进行。文末借助经典实例，通过与现有方法的对比，进一步论证了本文结论的可行性和有效性。 is a challenge. By combing the discrete Lyapunov matrix inequality with the time-domain spatial quadratic function, a novel sufficient and necessary condition for strong stability which is more concise than the existing results is obtained. It transfers the problem of spectral radius into that of judging sign of a quadric form by using the properties of continuous function with multi-variables. Finally, the feasibility and effectiveness of the proposed method are further verified by comparing with the existing methods with the classical examples.
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