By Margreet Kuijper
This ebook is ready the speculation of approach representations. The platforms which are thought of are linear, time-invariant, deterministic and finite dimensional. The statement that a few representations are improved for dealing with a selected challenge than others motivates the examine of rep resentations. In modeling a procedure, a illustration frequently arises obviously from definite legislation that underlie the process. In its such a lot basic shape the illustration then includes dynamical equations for the procedure compo nents and of constraint equations reflecting the relationship among those elements. looking on the actual challenge that's to be inves tigated, it is going to occasionally be necessary to rewrite the equations, that's, to rework the illustration. consequently it truly is of distinct significance to derive changes that let one to modify from one illustration to a different. a brand new procedure of the prior decade has been the so-called "behavioral ap proach" brought via Willems. one of many major beneficial properties of the behavioral process is that it truly is like minded for modeling the interconnection of sys tems. it truly is consequently that the behavioral technique is a average selection within the context of modeling. during this e-book we undertake the behavioral process: we outline a approach as a "behavior" , that's, a suite of trajectories whose math ematical illustration by way of differential or distinction equations is nonunique. a side of this strategy that's vital within the context of illustration idea is the truth that a ordinary form of equivalence arises.
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