Tools/frameworks/libraries for inverse dynamical modeling












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We have a first order dynamical system: x[t+1] = f(x[t], u[t]), where x is the system state and u are the control inputs.



There are inputs observations and system state observations to learn the model. The goal is to have a mathematical model, that would predict the transient process x[1], x[2], ... x[n] on the basis of known initial state x[0] and control inputs u: u[0], u[1], ..., u[n].



I have several ideas on how to develop an algorithm for solving this problem, but I wonder if there is any that already exists. I was scouting, but didn't find one, probably, because I couldn't recognize that solution actually fits the problem statement. Any ideas are appreciated.










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    $begingroup$


    We have a first order dynamical system: x[t+1] = f(x[t], u[t]), where x is the system state and u are the control inputs.



    There are inputs observations and system state observations to learn the model. The goal is to have a mathematical model, that would predict the transient process x[1], x[2], ... x[n] on the basis of known initial state x[0] and control inputs u: u[0], u[1], ..., u[n].



    I have several ideas on how to develop an algorithm for solving this problem, but I wonder if there is any that already exists. I was scouting, but didn't find one, probably, because I couldn't recognize that solution actually fits the problem statement. Any ideas are appreciated.










    share|improve this question







    New contributor




    R. Iv is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
    Check out our Code of Conduct.







    $endgroup$















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      0





      $begingroup$


      We have a first order dynamical system: x[t+1] = f(x[t], u[t]), where x is the system state and u are the control inputs.



      There are inputs observations and system state observations to learn the model. The goal is to have a mathematical model, that would predict the transient process x[1], x[2], ... x[n] on the basis of known initial state x[0] and control inputs u: u[0], u[1], ..., u[n].



      I have several ideas on how to develop an algorithm for solving this problem, but I wonder if there is any that already exists. I was scouting, but didn't find one, probably, because I couldn't recognize that solution actually fits the problem statement. Any ideas are appreciated.










      share|improve this question







      New contributor




      R. Iv is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
      Check out our Code of Conduct.







      $endgroup$




      We have a first order dynamical system: x[t+1] = f(x[t], u[t]), where x is the system state and u are the control inputs.



      There are inputs observations and system state observations to learn the model. The goal is to have a mathematical model, that would predict the transient process x[1], x[2], ... x[n] on the basis of known initial state x[0] and control inputs u: u[0], u[1], ..., u[n].



      I have several ideas on how to develop an algorithm for solving this problem, but I wonder if there is any that already exists. I was scouting, but didn't find one, probably, because I couldn't recognize that solution actually fits the problem statement. Any ideas are appreciated.







      machine-learning






      share|improve this question







      New contributor




      R. Iv is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
      Check out our Code of Conduct.











      share|improve this question







      New contributor




      R. Iv is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
      Check out our Code of Conduct.









      share|improve this question




      share|improve this question






      New contributor




      R. Iv is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
      Check out our Code of Conduct.









      asked 6 hours ago









      R. IvR. Iv

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      New contributor




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      New contributor





      R. Iv is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
      Check out our Code of Conduct.






      R. Iv is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
      Check out our Code of Conduct.






















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