عنوان

Optimal impulsive control :

3030022609

9783030022600

3030022595

9783030022594

Optimal impulsive control :

[Book]

the extension approach /

Aram Arutyunov, Dmitry Karamzin, Fernando Lobo Pereira.

Cham, Switzerland :

Springer,

[2019]

1 online resource

Lecture notes in control and information sciences ;

volume 477

Includes bibliographical references and index.

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

"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.

Springer Nature

com.springer.onix.9783030022600

Optimal impulsive control.

9783030022594

Control theory.

Differential equations, Partial.

Impulsive differential equations.

Control theory.

Differential equations, Partial.

Impulsive differential equations.

Mathematical optimization.

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

Karamzin, Dmitry

Lobo Pereira, Fernando

20200823074006.0

pn

[Book]

Y