عنوان

Optimal impulsive control :

(Number (ISBN

3030022609

(Number (ISBN

9783030022600

Erroneous ISBN

3030022595

Erroneous ISBN

9783030022594

Title Proper

Optimal impulsive control :

General Material Designation

[Book]

Other Title Information

the extension approach /

First Statement of Responsibility

Aram Arutyunov, Dmitry Karamzin, Fernando Lobo Pereira.

Place of Publication, Distribution, etc.

Cham, Switzerland :

Name of Publisher, Distributor, etc.

Springer,

Date of Publication, Distribution, etc.

[2019]

Specific Material Designation and Extent of Item

1 online resource

Series Title

Lecture notes in control and information sciences ;

Volume Designation

volume 477

Text of Note

Includes bibliographical references and index.

Text of Note

1. Linear impulsive control problems -- 2. Impulsive control problems under Borel measurability -- 3. Impulsive control problems under the Frobenius condition -- 4. Impulsive control problems without the Frobenius condition -- 5. Impulsive control problems with state constraints -- 6. Impulsive control problems with mixed constraints --7. General nonlinear impulsive control problems.

0

Text of Note

"Optimal Impulsive Control explores the class of impulsive dynamic optimization problems--problems that stem from the fact that many conventional optimal control problems do not have a solution in the classical setting--which is highly relevant with regard to engineering applications. The absence of a classical solution naturally invokes the so-called extension, or relaxation, of a problem, and leads to the notion of generalized solution which encompasses the notions of generalized control and trajectory; in this book several extensions of optimal control problems are considered within the framework of optimal impulsive control theory. In this framework, the feasible arcs are permitted to have jumps, while the conventional absolutely continuous trajectories may fail to exist. The authors draw together various types of their own results, centered on the necessary conditions of optimality in the form of Pontrygin's maximum principle and the existence theorems, which shape a substantial body of optimal impulsive control theory. At the same time, they present optimal impulsive control theory in a unified framework, introducing the different paradigmatic problems in increasing order of complexity. The rationale underlying the book involves addressing extensions increasing in complexity from the simplest case provided by linear control systems and ending with the most general case of a totally nonlinear differential control system with state constraints."--Back cover.

Source for Acquisition/Subscription Address

Springer Nature

Stock Number

com.springer.onix.9783030022600

Title

Optimal impulsive control.

International Standard Book Number

9783030022594

Control theory.

Differential equations, Partial.

Impulsive differential equations.

Control theory.

Differential equations, Partial.

Impulsive differential equations.

Mathematical optimization.

Number

Edition

Class number

Book number

Aruti︠u︡nov, A. V., (Aram Vladimirovich),1956-

Karamzin, Dmitry

Lobo Pereira, Fernando

Date of Transaction

20200823074006.0

Cataloguing Rules (Descriptive Conventions))

pn

Electronic name

[Book]

Y