Schauder's fixed-point theorem in nonlinear controllability problems

• Autorzy: Klamka J.
• Języki publikacji: EN

Abstrakty

EN

This paper refers to application of the Schauder's fixed point theorem together with linear controllability results in getting the sufficient controllability conditions for various kinds of controllability and for different types of nonlinear control systems. The following nonlinear control systems are considered : finite-dimensional systems, systems with delays in control or in the state variables, and infinite-dimensional systems. The paper presents the review of results existing in the literature which show how Schauder's fixed-point theorem can be practically used to solve several controllability problems for different types of nonlinear control systems.

Słowa kluczowe

EN

continuous-time systems; controllability; fixed-point theorems; nonlinear control systems; Schauder's fixed point theorem

PL

nieliniowy system sterowania; sterowalność; twierdzenie o punkcie stałym

• Wydawca: Systems Research Institute, Polish Academy of Sciences
• Czasopismo: Control and Cybernetics
• Rocznik: 2000
• Tom: Vol. 29, no 1
• Strony: 153--165
• Opis fizyczny: Bibliogr. 50 poz.,

Twórcy

autor

Klamka J.

• Institute of Automatic Control Technical university, Akademicka 16, 44-100 Gliwice, Poland,