ON ROBUST STABILITY OF LTI PARAMETER DEPENDENT SYSTEMS

In this paper, the complete stability domain for LTI parameter-dependent systems is synthesized by extending existing results in the literature. This domain is calculated through a guardian map which involves the determinant of the Kronecker sum of a matrix with itself. The stability domain is synthesized for both single and multi-parameter dependent LTI systems. The single parameter case is easily computable, whereas the multi-parameter case is more involved. The determinant of the bialternate sum of a matrix with itself is also exploited to reduce the computational complexity of the results.

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