# 47553

## Автор(ов):

1

Параметры публикации

## Тип публикации:

Статья в журнале/сборнике

## Название:

Quadratic Stabilization of Discrete-Time Bilinear Systems

0005-1179

## Наименование источника:

• Automation and Remote Control

Vol.79, No.7

• New York

2018

## Страницы:

1222-1239
Аннотация
We consider the problem of stabilization of discrete-time bilinear control systems. Using the linear matrix inequality technique and quadratic Lyapunov functions, we formulate a method for the construction of the so-called stabilizability ellipsoid having the property that the trajectories of the closed-loop system emanating from the points in the ellipsoid asymptotically tend to the origin. The proposed approach allows for an efficient construction of nonconvex domains of stabilizability of discrete-time bilinear control systems. The results are extended to the robust statement of the problem where the system matrix is subjected to structured uncertainties.

## Библиографическая ссылка:

Хлебников М.В. Quadratic Stabilization of Discrete-Time Bilinear Systems // Automation and Remote Control. 2018. Vol.79, No.7. С. 1222-1239.

Да