Titlebook: Introduction to Mathematical Systems Theory; A Behavioral Approac Jan Willem Polderman,Jan C. Willems Textbook 1998 Springer Science+Busine

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Stability Theory,ms we can, and will, view stability as a property of the system itself. In . small input disturbances should produce small output disturbances. Some of these concepts are intuitively illustrated by means of the following example.

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State Space Models,icially introduced. State variables have the property that they parametrize the . of the system, i.e., that they “split” the past and future of the behavior. The precise meaning of this statement will be made clear in the sequel.

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Time- and Frequency-Domain Characteristics of Linear Time-Invariant Systems,is to study properties of the time- and frequency-domain response. Thus we describe important characteristics of a system that can be deduced from its step-response, or from its Bode and Nyquist plots.

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Dynamical Systems,We start this book at the very beginning, by asking ourselves the question, .

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Systems Defined by Linear Differential Equations,In this chapter we discuss a very common class of dynamical systems. It consists of the systems that are:

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