EAN: 9781849961004

LINEAR TIME-VARYING APPROXIMATIONS TO NONLINEAR...

Linear  Time-varying Approximations to Nonlinear Dynamical Systems introduces a new technique
for analysing and controlling nonlinear systems. This method is general and requires only very
mild conditions on the system nonlinearities  setting it apart from other techniques such as
those - well-known - based on differential geometry. The authors cover many aspects of
nonlinear systems including stability theory  control design and extensions to distributed
parameter systems. Many of the classical and modern control design methods which can be applied
to linear  time-varying systems can be extended to nonlinear systems by this technique. The
implementation of the control is therefore simple and can be done with well-established
classical methods. Many aspects of nonlinear systems  such as spectral theory which is
important for the generalisation of frequency domain methods  can be approached by this method.

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