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Stability analysis of two-dimensional systems by means of finitely constructed bilateral quadratic forms

机译:二维系统通过有限构造的双边二次形式的稳定性分析

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摘要

Asymptotic stability of two-dimensional (2-D) systems in the state-space representation is studied. The concept of finitely constructed bilateral quadratic forms is introduced for the set of bilateral sequences of vectors, and the positivity of a bilateral quadratic form is characterized in terms of the solvability of an algebraic Riccati matrix inequality. A Lyapunov-like stability analysis of 2-D systems is conducted by resorting to positivity tests for a sequence of bilateral quadratic forms generated by a recurrence formula. The effectiveness is proved in an illustrative example.
机译:研究了二维(2-D)系统在状态空间表示中的渐近稳定性。针对向量的双边序列集引入了有限构造的双边二次形式的概念,并且根据代数Riccati矩阵不等式的可解性来表征双边二次形式的正性。通过对递归公式生成的一系列双边二次形式进行正性检验,可以对二维系统进行类似于Lyapunov的稳定性分析。在一个示例中证明了有效性。

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