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Simulation of Dynamic Systems with MATLAB and Simulink, 2nd Edition
book

Simulation of Dynamic Systems with MATLAB and Simulink, 2nd Edition

by Harold Klee, Randal Allen
April 2016
Intermediate to advanced content levelIntermediate to advanced
815 pages
31h 29m
English
CRC Press
Content preview from Simulation of Dynamic Systems with MATLAB and Simulink, 2nd Edition
rate of new predators entering the environment at time ‘‘t,’’ and a, b, c, l, and k are parameters
of the system.
(a) Find the nontr ivial equilibrium points (
x, y) in the x, y plane when the two inputs are
u
x
¼ u
x
¼ 0, u
y
¼ u
y
¼ 0, t 0. Leave your answers for x and y in terms of the system
parameters.
(b) Introduce deviation variables D x, Dy, Du
x
, and Du
y
and choose the outputs as Dy
1
¼Dx
and Dy
2
¼Dy. Linearize the state equations about the operating point where x ¼ x, y ¼ y ,
u
x
¼ u
x
, and u
y
¼ u
y
and nd the linearized system matrices A, B, C, and D in terms of the
system parameters.
(c) Find the transfer functions Dx(s)=Du
x
(s), Dx(s)=Du
y
(s), Dy(s)=Du
x
(
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Publisher Resources

ISBN: 9781439836736