By Xiaoxin Liao,Pei Yu
Following the hot advancements within the box of absolute balance, Prof. Xiaoxin Liao, together with Prof. Pei Yu, has created a moment version of his seminal paintings at the topic. Liao starts off with an creation to the Lurie challenge and Lurie keep an eye on approach, earlier than relocating directly to the easy algebraic enough stipulations for absolutely the balance of self sustaining and non-autonomous ODE structures, in addition to a number of specific periods of Lurie-type platforms. the point of interest of the booklet then shifts towards the hot effects and examine that experience seemed within the decade because the first variation was once released. This e-book is aimed for use by means of undergraduates within the parts of utilized arithmetic, nonlinear keep watch over structures, and chaos regulate and synchronisation, yet can also be valuable as a reference for researchers and engineers. The publication is self-contained, although a simple wisdom of calculus, linear approach and matrix concept, and usual differential equations is a prerequisite.
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Absolute Stability of Nonlinear Control Systems: 25 (Mathematical Modelling: Theory and Applications) by Xiaoxin Liao,Pei Yu