October 2018
Intermediate to advanced
423 pages
8h 42m
English
Content preview from Tracking Control of Linear Systems
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Chapter 11 Lyapunov Tracking Control (LTC)
11.1 Vector Lyapunov function (VLF)
11.1.1 Introduction to VLF concept
The concept of vector Lyapunov functions (VLF) was coincidentally introduced by R. Bellman [13] in the linear systems setting and by V. M. Matrosov [236] in the general nonlinear systems framework. Matrosov continued to develop the VLF concept to large-scale nonlinear systems [237], [238]. It became the basic mathematical tool for studying stability properties of complex (interconnected and large-scale) dynamic systems [131], [237], [243], [298]. The VLF was the mathematical mean to effectively construct a scalar Lyapunov function for the complex dynamic systems and to reduce their stability test to simple algebraic conditions ...
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