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Titlebook: Analysis and Control of Nonlinear Systems; A Flatness-based App Jean Levine Book 2009 Springer-Verlag Berlin Heidelberg 2009 Control system

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https://doi.org/10.1007/978-1-349-00908-4This chapter is devoted to the study of the dynamical behaviors of nonlinear uncontrolled systems: stability, instability of flows around an equilibrium or a periodic orbit and comparison to their tangent linear approximation. We consider the set of (uncontrolled) differential equation, or differential system.
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Physical Ill-Health, Age and Depression,Controllability is one of the so-called structural properties of systems depending on inputs. It has initially been studied in the framework of linear systems to describe the possibility of generating arbitrary motions. For nonlinear systems, several extensions are possible. They are outlined in the second part of this chapter.
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https://doi.org/10.1007/978-3-322-90076-0Let us consider the nonlinear system .. Given the initial time t., the initial conditions ., the final time t. and the final conditions
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Wissenssoziologische Thanatologie,This chapter is aimed at showing that, even for DC motor control, a quite standard application of control, described by a single input linear system, the so-called flatness-based approach may dramatically improve its performance in a transient phase.
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Introduction to Dynamical SystemsThis chapter is devoted to the study of the dynamical behaviors of nonlinear uncontrolled systems: stability, instability of flows around an equilibrium or a periodic orbit and comparison to their tangent linear approximation. We consider the set of (uncontrolled) differential equation, or differential system.
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Controlled Systems, ControllabilityControllability is one of the so-called structural properties of systems depending on inputs. It has initially been studied in the framework of linear systems to describe the possibility of generating arbitrary motions. For nonlinear systems, several extensions are possible. They are outlined in the second part of this chapter.
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Differentially Flat SystemsDenition 6.1. We say that the system (.) (resp. (.)), with . inputs, is ., or, shortly, ., if and only if it is L-B equivalent to the trivial system (.) (resp.(.)), where . is the trivial Cartan field of . with coordinates (.):
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