LMIs in Control/Click here to continue/Applications of Non-Linear Systems/LMI

The System

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Consider a nonlinear, continuous-time system
 
 
where   is the state vector,   is the input and   is the output.

The Data

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  is the state vector,   is the input and   is the output.
  are multivariable functions of x.
  (that is, 0 is an equilibrium point of the unforced system associated with the system).
  and   have no singularities at the origin.

Proof

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  •   =   +