Find initial conditions for vector space evolution in a continous-time system
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as stated in the title, given an n x n matrix A, I have to find all the initial conditions from which the state evolves into a vector space of dimension m (considering the system in free response). I am a bit clueless about the procedure to use (although it should involve the use of Krylov sequences), any help is appreciated.
Thank you in advance.
linear-algebra dynamical-systems control-theory
asked Dec 16 '18 at 17:23
AlessandroAlessandro
11
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add a comment |
$begingroup$
as stated in the title, given an n x n matrix A, I have to find all the initial conditions from which the state evolves into a vector space of dimension m (considering the system in free response). I am a bit clueless about the procedure to use (although it should involve the use of Krylov sequences), any help is appreciated.
Thank you in advance.
linear-algebra dynamical-systems control-theory
asked Dec 16 '18 at 17:23
AlessandroAlessandro
11
$endgroup$
add a comment |
$begingroup$
as stated in the title, given an n x n matrix A, I have to find all the initial conditions from which the state evolves into a vector space of dimension m (considering the system in free response). I am a bit clueless about the procedure to use (although it should involve the use of Krylov sequences), any help is appreciated.
Thank you in advance.
linear-algebra dynamical-systems control-theory
asked Dec 16 '18 at 17:23
AlessandroAlessandro
11
$endgroup$
as stated in the title, given an n x n matrix A, I have to find all the initial conditions from which the state evolves into a vector space of dimension m (considering the system in free response). I am a bit clueless about the procedure to use (although it should involve the use of Krylov sequences), any help is appreciated.
Thank you in advance.
linear-algebra dynamical-systems control-theory
linear-algebra dynamical-systems control-theory
asked Dec 16 '18 at 17:23
AlessandroAlessandro
11
asked Dec 16 '18 at 17:23
AlessandroAlessandro
11
asked Dec 16 '18 at 17:23
AlessandroAlessandro
11
asked Dec 16 '18 at 17:23
AlessandroAlessandro
11
asked Dec 16 '18 at 17:23
AlessandroAlessandro
11
11
add a comment |
add a comment |
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