| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 756040 | Systems & Control Letters | 2016 | 6 Pages |
Abstract
Invariance of a subset of the state space with respect to a control system on an arbitrary time scale is studied. This includes in particular continuous-time and discrete-time systems. The invariance is characterized with the aid of natural operators associated to the system: shifts and skew derivations. For different time scales the criteria take different forms. Then for polynomial systems algebraic criteria of invariance based on Positivstellensatz from real algebraic geometry are developed. A relation between invariance and monotonicity is exhibited and the results on invariance are used to characterize monotonicity.
Related Topics
Physical Sciences and Engineering
Engineering
Control and Systems Engineering
Authors
Zbigniew Bartosiewicz,