Controllability of $\ell$-order linear systems
Given a (` + 1)-ple of matrices (A`¡1; : : : ;A0;B) representing `- order time-invariant linear systems, x(`) = A`¡1x(`¡1) + : : : + A0x(0) + Bu, we analyze conditions in such a way that changing the control u by u1 = u ¡ F`x(`) ¡ : : : F0x(0) the system obtained has a stable solution.
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2003 |
| País: | España |
| Institución: | Universitat Politècnica de Catalunya (UPC) |
| Repositorio: | UPCommons. Portal del coneixement obert de la UPC |
| Idioma: | inglés |
| OAI Identifier: | oai:upcommons.upc.edu:2117/871 |
| Acceso en línea: | https://hdl.handle.net/2117/871 |
| Access Level: | acceso abierto |
| Palabra clave: | Algebras, Linear Multilinear algebra Matrices System theory High-order linear systems linearization feedback controllability Àlgebra lineal Àlgebra multilineal Matriu S, Teoria Sistemes, Teoria de Classificació AMS::15 Linear and multilinear algebra matrix theory Classificació AMS::93 Systems Theory Control::93B Controllability, observability, and system structure |
| Sumario: | Given a (` + 1)-ple of matrices (A`¡1; : : : ;A0;B) representing `- order time-invariant linear systems, x(`) = A`¡1x(`¡1) + : : : + A0x(0) + Bu, we analyze conditions in such a way that changing the control u by u1 = u ¡ F`x(`) ¡ : : : F0x(0) the system obtained has a stable solution. |
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