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Finite-Time Stability Tools for Control and Estimation (Paperback)
Loot Price: R2,403
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Finite-Time Stability Tools for Control and Estimation (Paperback)
Series: Foundations and Trends (R) in Systems and Control
Expected to ship within 10 - 15 working days
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This monograph presents some existing and new results on analysis
and design of finite-time and fixed-time converging systems. Two
main groups of approaches for analysis/synthesis of this kind of
convergence, Lyapunov functions and the theory of homogeneous
systems, are considered. The authors focus on the dynamics
described by ordinary differential equations, time-delay models and
partial differential equations. Some popular control and estimation
algorithms, which possess accelerated converge rates, are also
reviewed. Finally, the issues of discretization of
finite-/fixed-time converging systems are discussed. Divided into 3
parts, this monograph provides the reader with a complete and
accessible review of the topic. In the first part, the definitions
of the different finite-/fixed-time stability properties are given
together with their characterizations via the Lyapunov function
approach. In the second part, several stabilization algorithms for
linear and nonlinear systems are formalized, which are based on the
implicit Lyapunov function approach. In the third part, the issues
of discretization of finite-/fixed-time stable systems are
discussed, with a special attention to the solutions obtained with
the implicit Lyapunov function method. Finally, the accelerated
converge concepts are presented for systems described by time-delay
and partial differential equations. This monograph is an excellent
introduction to the complex field of Finite-Time Stability Tools.
It enables the reader to synthesize the important concepts and
further their own research in the area.
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