 |
Absolute stability of positive systems with differential constraints
Diamond, P. M. and Opoitsev, V. (2000) Absolute stability of positive systems with differential constraints. International Journal of Control, 73 3: 210-218.
|
|
|
| Author(s) |
Diamond, P. M.
Opoitsev, V.
|
| Title |
Absolute stability of positive systems with differential constraints
|
| Journal name |
International Journal of Control
|
| Publication date |
2000
|
| Volume number |
73
|
| Issue number |
3
|
| ISSN |
0020-7179
|
| Start page |
210
|
| End page |
218
|
| Total pages |
9
|
| Place of publication |
UK
|
| Publisher |
Taylor & Francis Group
|
| Collection year |
2000
|
| Language |
eng
|
| Subject |
C1
230119 Systems Theory and Control
780101 Mathematical sciences
|
| Abstract |
We consider discrete-time systems x(k + 1) = Ax(k) + f(x(k)) where the matrix A of the linear part is known and positive, the non-linearity f is unknown but belongs to a class for which A + f'(x) is positive with spectral radius < I for all x is an element of R-n. This, with the additional property that x - Ax - f(x) is proper, is sufficient for global stability of the system. The results are applied to the continuous system x = Ax + B phi(C(T)x) by considering the translation operator along trajectories and studying the resulting discrete system.
|
| Keyword(s) |
Automation & Control Systems
Asymptotic Stability
Lure Systems
Conjecture
Nonlinearities
Criteria
|
|
|
