Dynamical Systems: Stability, Controllability and Chaotic - download pdf or read online

By Werner Krabs

on the finish of the 19th century Lyapunov and Poincaré constructed the so known as qualitative concept of differential equations and brought geometric- topological issues that have ended in the concept that of dynamical platforms. 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 publication during which out of control and regulated time-continuous and time-discrete platforms are investigated. managed dynamical platforms might be regarded as dynamical structures within the powerful experience, if the controls have been integrated into the kingdom house. We, besides the fact that, adapt the traditional therapy of managed structures as up to speed thought. we're customarily drawn to the query of controllability of dynamical structures into equilibrium states. within the non-autonomous time-discrete case we additionally reflect on the matter of stabilization. We finish with chaotic habit of self sustaining time discrete structures and real real-world applications.

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Dynamical Systems: Stability, Controllability and Chaotic Behavior by Werner Krabs

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