Problem 60966. Determine if LTI system with feedback control is stable

Linear timeiinvariant systems can be represented by the differential equation , where A is an matrix, x is an vector representing the system state, B is a matrix, and u is a vector representing the control input. Feedback control seeks to stabilize this system with a control of the form , where K is an matrix defined by a user. The closed-loop system can be represented by , and is asymptotically stable if and only if all the eigenvalues of have negative real parts.
Write a function that takes an A, B, and K and returns a logical scalar that is true when the system is asymptotically stable and false when it is not stable.
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43.75% Correct | 56.25% Incorrect
Last Solution submitted on Sep 11, 2025

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linear algebra

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