Generalized Homogeneity in Systems and Control Volume I: Finite-Dimensional Systems, Edition 2

The second edition splits the coverage of homogeneity, allowing expanded coverage of finite-dimensional systems (in this book) and infinite-dimensional systems (in Volume II). The results are better systematized and easier for readers to study and assimilate.

The first volume details the concepts of finite-time and fixed-time stability. Key features of the book include:

• mathematical models of dynamical systems in finite-dimensional spaces;
• the theory of linear dilations in Euclidean spaces;
• homogeneous control and estimation;
• extensively expanded and original chapters with entirely new treatments of digitization, safety-critical systems, neural networks, and multiagent control;
• simple methods for an upgrade of existing linear control laws;
• numerical schemes for a consistent digital implementation of homogeneous algorithms; and
• experimental results that confirm an improvement of PID controllers.

Illustrative examples—numerical results, computer simulations, and real experiments—support all the theoretical material. The coverage of finite-dimensional systems presented in this book is of interest to graduate students of control theory from engineering and applied-mathematical backgrounds and to practising control engineers.