English version
ISSN 1817-2172, рег. Эл. № ФС77-39410, ВАК

Дифференциальные Уравнения
и
Процессы Управления

О журнале История Журнала Издатель Адреса Тематика Редакторский состав Рецензирование Для авторов Издательская этика Коллекция номеров English version

Глобальные задачи дифференциальных включений: проблемы Калмана и Вышнеградского, цепи Чуа

Автор(ы):

Геннадий Алексеевич Леонов

Санкт-Петербургский Государственный Университет,
Математико-Механический факультет,
кафедра Прикладной кибернетики
заведующий кафедрой,
доктор физико-математических наук
Университетский пр-т, 28, Петергоф,
Санкт-Петербург, 198504

leonov@math.spbu.ru

Николай Владимирович Кузнецов

Санкт-Петербургский Государственный Университет,
Математико-Механический факультет,
кафедра Прикладной кибернетики,
заместитель заведующего кафедрой;
доктор физико-математических наук
Университетский пр-т, 28, Петергоф,
Санкт-Петербург, 198504

nkuznetsov239@gmail.com

Мария Алексеевна Киселёва

Санкт-Петербургский Государственный Университет,
Математико-Механический факультет,
кафедра Прикладной кибернетики,
ведущий научный сотрудник
кандидат физико-математических наук
Университетский пр-т, 28, Петергоф,
Санкт-Петербург, 198504

maria.kiseleva.87@gmail.com

Руслан Назирович Мокаев

Санкт-Петербургский Государственный Университет,
Математико-Механический факультет,
кафедра Прикладной кибернетики,
младший научный сотрудник
Университетский пр-т, 28, Петергоф,
Санкт-Петербург, 198504

r.mokaev@spbu.ru

Аннотация:

В данной работе описаны различные подходы к определению решения дифференциальных уравнений с разрывной правой частью и дифференциальных включений. Для разрывных систем в классической задаче Вышнеградского применен математический аппарат разрывных функций Ляпунова. Для построения контрпримеров к гипотезе Калмана для гладких систем применен метод разрывных аппроксимаций и идеи Айзермана и Пятницкого.

Ключевые слова

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