Abstract
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.
| Original language | English |
|---|---|
| Pages (from-to) | 152-165 |
| Number of pages | 14 |
| Journal | Control and Cybernetics |
| Volume | 29 |
| Issue number | 1 |
| Publication status | Published - 2000 |
Keywords
- Continuous-time systems
- Controllability
- Fixed-point theorems
- Nonlinear control systems
- Schauder's fixed-point theorem
ASJC Scopus subject areas
- Control and Systems Engineering
- Modeling and Simulation
- Applied Mathematics
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