Zobrazeno 1 - 10
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pro vyhledávání: '"COLONIUS, FRITZ"'
Autor:
Colonius, Fritz
A continuous semiflow is introduced for linear control systems with delays in the states and controls and bounded control range. The state includes the control functions. It is proved that there exists a unique chain control set which corresponds to
Externí odkaz:
http://arxiv.org/abs/2408.10048
Autor:
Colonius, Fritz, Santana, Alexandre J.
For control-affine systems on non-compact manifolds, the notion of strong chain control sets is introduced and related to the strong chain transitivity of the associated control flows. Affine control systems on R^n are embedded into bilinear control
Externí odkaz:
http://arxiv.org/abs/2407.18765
For linear control systems with bounded control range, chain controllability properties are analyzed. It is shown that there exists a unique chain control set and that it equals the sum of the control set around the origin and the center Lyapunov spa
Externí odkaz:
http://arxiv.org/abs/2312.14595
Autor:
Colonius, Fritz, Santana, Alexandre J.
Publikováno v:
Journal of Dynamics and Differential Equations (2024)
Affine flows on vector bundles with chain transitive base flow are lifted to linear flows and the decomposition into exponentially separated subbundles provided by Selgrade's theorem is determined. The results are illustrated by an application to aff
Externí odkaz:
http://arxiv.org/abs/2305.12758
For periodic linear control systems with bounded control range, an autonomized system is introduced by adding the phase to the state of the system. Here a unique control set (i.e., a maximal set of approximate controllability) with nonvoid interior e
Externí odkaz:
http://arxiv.org/abs/2212.05308
Autor:
Colonius, Fritz
Publikováno v:
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY 2022
For linear flows on vector bundles, it is analyzed when subbundles in the Selgrade decomposition yield chain transitive subsets for the induced flow on the associated Poincar\'e sphere bundle.
Externí odkaz:
http://arxiv.org/abs/2203.11974
Publikováno v:
SIAM J. Control Optim. Vol. 61(2023), pp. 647-673
For affine control systems with bounded control range the control sets, i.e., the maximal subsets of complete approximate controllability, are studied using spectral properties. For hyperbolic systems there is a unique control set with nonvoid interi
Externí odkaz:
http://arxiv.org/abs/2201.05014
Publikováno v:
Mathematics of Control, Signals, and Systems (2022)
For homogeneous bilinear control systems, the control sets are characterized using a Lie algebra rank condition for the induced systems on projective space. This is based on a classical Diophantine approximation result. For affine control systems, th
Externí odkaz:
http://arxiv.org/abs/2106.01204