Dynamic Programming for Impulse Feedback and Fast Controls
The Linear Systems Case
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Beschreibung
Dynamic Programming for Impulse Feedback and Fast Controls offers a description of feedback control in the class of impulsive inputs. This book deals with the problem of closed-loop impulse control based on generalization of dynamic programming techniques in the form of variational inequalities of the Hamilton–Jacobi–Bellman type. It provides exercises and examples in relation to software, such as techniques for regularization of ill-posed problems. It also gives an introduction to applications such as hybrid dynamics, control in arbitrary small time, and discontinuous trajectories.
This book walks the readers through:
- the design and description of feedback solutions for impulse controls;
- the explanation of impulses of higher order that are derivatives of delta functions;
- the description of their physically realizable approximations - the fast controls and their approximations;
- the treatment of uncertainty in impulse control and the applications of impulse feedback.
Of interest to both academics and graduate students in the field of control theory and applications, the book also protects users from common errors, such as inappropriate solution attempts, by indicating Hamiltonian techniques for hybrid systems with resets.
Dynamic Programming for Impulse Feedback and Fast Controls offers a description of feedback control in the class of impulsive inputs. This book deals with the problem of closed-loop impulse control based on generalization of dynamic programming techniques in the form of variational inequalities of the Hamilton–Jacobi–Bellman type. It provides exercises and examples in relation to software, such as techniques for regularization of ill-posed problems. It also gives an introduction to applications such as hybrid dynamics, control in arbitrary small time, and discontinuous trajectories.
This book walks the readers through:
- the design and description of feedback solutions for impulse controls;
- the explanation of impulses of higher order that are derivatives of delta functions;
- the description of their physically realizable approximations - the fast controls and their approximations;
- the treatment of uncertaintyin impulse control and the applications of impulse feedback.
Of interest to both academics and graduate students in the field of control theory and applications, the book also protects users from common errors , such as inappropriate solution attempts, by indicating Hamiltonian techniques for hybrid systems with resets.
Offers feedback solutions for impulse controls Provides exercises and examples with an indication of routes to related software Discusses dynamic programming techniques in the form of variational inequalities of the Hamilton–Jacobi–Bellman type
Autor*in
Alexander B. Kurzhanski
Themen in »Dynamic Programming for Impulse Feedback and Fast Controls«
Impulse Control Dynamic Programming Generalized Functions Fast Feedback Control Hybrid Systems
Stimmen zu »Dynamic Programming for Impulse Feedback and Fast Controls«
“This is an advanced monograph on impulse control and optimal impulse control theory of linear systems, with a special emphasis on feedback control in the class of impulsive inputs. The book is intended for both academics and graduate students in the field of control theory and applications.” (Monica Motta, Mathematical Reviews, October, 2019)
“I would like to recommend it to students and researchers interested in impulsive models.” (Jin Liang, zbMATH 1425.93004, 2019)
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