Extension of the Cayley-Hamilton theorem to continuous-time linear systems with delays
International Journal of Applied Mathematics and Computer Science, Tome 15 (2005) no. 2, p. 231.
Voir la notice de l'article dans European Digital Mathematics Library
The classical Cayley-Hamilton theorem is extended to continuous-time linear systems with delays. The matrices of the system with delays satisfy algebraic matrix equations with coefficients of the characteristic polynomial.
Classification :
34K06
Mots-clés : Cayley-Hamilton theorem, continuous-time, delay, linear system, extension
Mots-clés : Cayley-Hamilton theorem, continuous-time, delay, linear system, extension
@article{IJAMCS_2005__15_2_207738, author = {Tadeusz Kaczorek}, title = {Extension of the {Cayley-Hamilton} theorem to continuous-time linear systems with delays}, journal = {International Journal of Applied Mathematics and Computer Science}, pages = {231}, publisher = {mathdoc}, volume = {15}, number = {2}, year = {2005}, zbl = {1084.34541}, language = {en}, url = {https://geodesic-test.mathdoc.fr/item/IJAMCS_2005__15_2_207738/} }
TY - JOUR AU - Tadeusz Kaczorek TI - Extension of the Cayley-Hamilton theorem to continuous-time linear systems with delays JO - International Journal of Applied Mathematics and Computer Science PY - 2005 SP - 231 VL - 15 IS - 2 PB - mathdoc UR - https://geodesic-test.mathdoc.fr/item/IJAMCS_2005__15_2_207738/ LA - en ID - IJAMCS_2005__15_2_207738 ER -
%0 Journal Article %A Tadeusz Kaczorek %T Extension of the Cayley-Hamilton theorem to continuous-time linear systems with delays %J International Journal of Applied Mathematics and Computer Science %D 2005 %P 231 %V 15 %N 2 %I mathdoc %U https://geodesic-test.mathdoc.fr/item/IJAMCS_2005__15_2_207738/ %G en %F IJAMCS_2005__15_2_207738
Tadeusz Kaczorek. Extension of the Cayley-Hamilton theorem to continuous-time linear systems with delays. International Journal of Applied Mathematics and Computer Science, Tome 15 (2005) no. 2, p. 231. https://geodesic-test.mathdoc.fr/item/IJAMCS_2005__15_2_207738/