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Applied Optimization by Ross Baldick

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4

Case studies of linear simultaneous equations

In this chapter, we will develop two case studies of problems that involve the solution of linear simultaneous equations:

(i)   the solution of Kirchhoff’s laws in a simple electrical circuit (Section 4.1), and

(ii)   the search for a set of inputs to a “discrete-time linear system” that will bring the system to a desired state (Section 4.2).

The first case study will be developed in some detail, while the second will be much more briefly described. As we proceed, we will introduce notation to help us express ideas concisely and precisely. We will try to describe the choices that are made in formulating a model. You may already be very familiar with these models; however, the reasoning we present ...

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