By Xiao-Xin Liao
bankruptcy 1 introduces the most instruments and the imperative effects utilized in this e-book, reminiscent of Lyapunov features, K-class capabilities, Dini-derivatives, M-matrices and the important theorems on international balance. bankruptcy 2 offers absolutely the balance thought of self reliant regulate structures and the well known Lurie challenge. bankruptcy three supplies a few basic algebraic precious and enough stipulations for absolutely the balance of numerous specific regulate structures. bankruptcy four discusses nonautonomous and discrete regulate platforms. bankruptcy five offers with absolutely the balance of keep watch over structures with m nonlinear keep an eye on phrases. bankruptcy 6 devotes itself to absolutely the balance of keep an eye on structures defined by way of useful differential equations.
The e-book concludes with an invaluable bibliography.
For utilized mathematicians, and engineers whose paintings consists of keep watch over systems.
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New tendencies up to the mark concept is a graduate-level monographic textbook. it's a modern evaluate of recent traits up to the mark idea. The introductory bankruptcy offers the geometrical and quantum history, that's an important minimal for entire examining of the e-book. the second one bankruptcy supplies the fundamentals of classical keep an eye on idea, either linear and nonlinear.
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Absolute Stability of Nonlinear Control Systems (Mathematics and its Applications) by Xiao-Xin Liao