Exact controllability of linear dynamical systems: a geometrical approach
In recent years there has been growing interest in the descriptive analysis of complex systems, permeating many aspects of daily life, obtaining considerable advances in the description of their structural and dynamical properties. However, much less effort has been devoted to studying the controlla...
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| Format: | article |
| Publication Date: | 2016 |
| Country: | España |
| Institution: | Universitat Politècnica de Catalunya (UPC) |
| Repository: | UPCommons. Portal del coneixement obert de la UPC |
| Language: | English |
| OAI Identifier: | oai:upcommons.upc.edu:2117/98205 |
| Online Access: | https://hdl.handle.net/2117/98205 https://dx.doi.org/10.21136/AM.2016.0427-15 |
| Access Level: | Open access |
| Keyword: | Eigenvalues Geometry Linear systems controllability exact controllability eigenvalue eigenvector linear system Sistemes lineals Geometria Àrees temàtiques de la UPC::Matemàtiques i estadística |
| Summary: | In recent years there has been growing interest in the descriptive analysis of complex systems, permeating many aspects of daily life, obtaining considerable advances in the description of their structural and dynamical properties. However, much less effort has been devoted to studying the controllability of the dynamics taking place on them. Concretely, for complex systems it is of interest to study the exact controllability; this measure is defined as the minimum set of controls that are needed in order to steer the whole system toward any desired state. In this paper, we focus the study on the obtention of the set of all B making the system (A, B) exact controllable |
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