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to learn fundamental theory for linear time-varying dynamical systems with several inputs and several outputs.

Transition matrices. Controllability and observability. Realization theory. Stability theory. Operator theory. Multivariable input-output descriptions.

understand how linear timevarying systems can be represented in different ways and how the relationships between the representations look like
understand how controllability and observability can be analyzed with several different methods
understand how realizations can be performed starting from transfer functions or Markov parameters
be able to define and analyze various stability notions for linear timevarying systems
be able to interpret least-squares problems in terms of linear operators and adjoint operators

be able to linearize a timevarying system along a trajectory
be able to determine Kalman's decomposition and a minimal realization of a system
be able to verify exponential stability of a linear time-varying system using a Lyapunov function
be able to determine the poles and zeros, including multiplicities, of a multivariable system

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Skriftlig tentamen

Inlämningsuppgifter

Underkänd, godkänd

Rugh, Wilson J.: Linear System Theory. Prentice Hall, 1996. ISBN 0134412052.

FRT001F

 -10-27

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