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Titlebook: Dynamics, Bifurcations and Control; Fritz Colonius,Lars Grüne Conference proceedings 2002 Springer-Verlag Berlin Heidelberg 2002 Analysis.

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https://doi.org/10.1007/978-1-4684-8742-8 prescribed amplitude. The frequency of the oscillations can also be controlled to a limited extent. The presence of the delay in the control signal turns out to be crucial for achieving these goals using position feedback.
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Feedback Stabilization and , , Control of Nonlinear Systems Affected by Disturbances: the Differentied on an old natural idea recently brought to attention in stabilization of systems by [.], and show how, from semiconcave or just continuous Lyapunov functions one can construct a (discontinuous) feedback that solves the .. problem in an appropriate sense.
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Stability Analysis of Periodic Solutions via Integral Quadratic Constraints a combined use of linearization techniques and frequency-domain stability criteria expressed via Integral Quadratic Constraints — can be efficiently performed in terms of Linear Matrix Inequalities. An application example is carried out for illustrative purposes.
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A Linearization Principle for Robustness with Respect to Time-Varying Perturbationsfixed points of nonlinear systems. In the continuous time case we present a counterexample for the corresponding statement. Sufficient conditions for the equality of the stability radii of nonlinear respective linear systems are given. We conjecture that they hold on an open and dense set.
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Model Reduction for Systems with Low-Dimensional Chaosthe knowledge of at most the two previous peaks. The reduced model is a simple one-dimensional map or, in the most complex case, a set of one-dimensional maps. Its use in control system design is discussed by means of some examples.
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