Amato, F., Ambrosino, R., Ariola, M., Cosentino, C., De Tommasi, G.
2014, XII, 146 p. 37 illus., 14 illus. in color.
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Shows a spread of practical applications for techniques which have until recently been of theoretical interest
Techniques presented lend themselves to easy implementation with off-the-shelf software
One of the chief methods used – the linear matrix inequality – is a popular technique that can be generalized to work in other types of system
Finite-time stability (FTS) is a more practical concept than classical Lyapunov stability, useful for checking whether the state trajectories of a system remain within pre-specified bounds over a finite time interval. In a linear systems framework, FTS problems can be cast as convex optimization problems and solved by the use of effective off-the-shelf computational tools such as LMI solvers. Finite-time Stability and Control exploits this benefit to present the practical applications of FTS and finite-time control-theoretical results to various engineering fields. The text is divided into two parts:
· linear systems; and
· hybrid systems.
The building of practical motivating examples helps the reader to understand the methods presented.
Finite-time Stability and Control is addressed to academic researchers and to engineers working in the field of robust process control. Instructors teaching graduate courses in advanced control will also find parts of this book useful for their courses.
Content Level »Research
Keywords »Continuous-Time Systems - Discrete-Time Systems - Finite-time Stability - Hybrid Systems - Linear Matrix Inequalities - Linear Systems - Lyapunov Functions - Lyapunov Stability - Nonlinear Quadratic Systems - Uncertain Systems