Absolute Stability of Nonlinear Control Systems (Mathematics by Xiao-Xin Liao

By Xiao-Xin Liao

This quantity provides an summary of a few contemporary advancements on absolutely the balance of nonlinear keep an eye on systems.
bankruptcy 1 introduces the most instruments and the vital effects utilized in this ebook, corresponding to Lyapunov capabilities, K-class capabilities, Dini-derivatives, M-matrices and the central theorems on worldwide balance. bankruptcy 2 provides absolutely the balance thought of self sufficient keep watch over platforms and the well known Lurie challenge. bankruptcy three offers a few basic algebraic worthwhile and enough stipulations for absolutely the balance of a number of distinct keep watch over platforms. bankruptcy four discusses nonautonomous and discrete regulate platforms. bankruptcy five offers with absolutely the balance of keep an eye on platforms with m nonlinear keep watch over phrases. bankruptcy 6 devotes itself to absolutely the balance of keep an eye on structures defined by way of sensible differential equations.
The ebook concludes with an invaluable bibliography.
For utilized mathematicians, and engineers whose paintings consists of keep watch over systems.

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