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Representations of a linear system
The linear system of Section is shown in block diagram To determine the responseof the output of the system y(t) to an input u(t) the initial condition of the state x(0) must be taken intoaccount as well as the input. Figure shows this in a representation of the same system in terms ofthe system transfer function as discussed in a later section. Figure (c) shows shows the equivalenceof the state-space and the transfer function representation by considering of the systems constituents.The initial conditions of a linear system do not affect the sysytem stability or the longer term stablesystem response. So, for much analysis and design, systems with zero-initial conditions are generally Considered.
characteristic equation The characteristic equation (C.E.) corresponding to the linear state space equations comprising the state equation? x = Ax + Bu and output equatio
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Blanking involves cutting of the sheet metal along a closed outline in a single step to separate the piece from the surrounding stock. As shown in figure, the path that is cut out
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