Abstract

Control systems can be viewed as dynamical systems over (infinite) dimensional state spaces. From this point of view the long term behavior of control systems, such as limit sets, Morse sets, approximations on the entire time axis, ergodicity, Lyapunov exponents, stable and unstable manifolds etc. becomes accessible. This paper presents some of the underlying theory, as well as applications to the global characterization of control systems with bounded control range that are not completely controllable, to control of chaotic systems, and to exponential stability of uncertain systems.

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