Dynamical Systems: Stability, Controllability and Chaotic by Werner Krabs

By Werner Krabs

on the finish of the 19th century Lyapunov and Poincaré constructed the so known as qualitative conception of differential equations and brought geometric- topological issues that have ended in the concept that of dynamical structures. In its current summary shape this idea is going again to G.D. Birkhoff. this can be additionally the place to begin of bankruptcy 1 of this booklet during which out of control and regulated time-continuous and time-discrete platforms are investigated. managed dynamical structures will be regarded as dynamical structures within the robust feel, if the controls have been included into the nation house. We, even though, adapt the traditional remedy of managed structures as on top of things idea. we're as a rule drawn to the query of controllability of dynamical structures into equilibrium states. within the non-autonomous time-discrete case we additionally give some thought to the matter of stabilization. We finish with chaotic habit of self sufficient time discrete platforms and real real-world applications.

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