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.
, 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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