About the solutions of linear control systems on Lie groups

• Ayala, Víctor ^[1] ; Da Silva, Adriano ^[2] ; Kizil, Eyüp ^[3]
  1. [1] Universidad de Tarapacá

     Universidad de Tarapacá

     Arica, Chile

     
  2. [2] Universidade Estadual de Campinas

     Universidade Estadual de Campinas

     Brasil

     
  3. [3] Universidade de São Paulo

     Universidade de São Paulo

     Brasil

     

  Mostrar afiliaciones +
• Localización: Proyecciones: Journal of Mathematics, ISSN 0716-0917, ISSN-e 0717-6279, Vol. 35, Nº. 4, 2016, págs. 491-503
• Idioma: inglés
• DOI: 10.4067/S0716-09172016000400010
• Enlaces
  • Texto completo
• Resumen

  • In this paper we prove in details the completeness of the solutions of a linear control system on a connected Lie group. On the other hand, we summarize some results showing how to compute the solutions. Some examples are given.

• Referencias bibliográficas
  • Citas [1] Ayala, V. and Tirao, J. Linear control systems on Lie groups and controllability, Eds. G. Ferreyra et al., Amer. Math. Soc., Providence,...
  • [2] Ayala, V. and San Martin, L., Controllability properties of a class of control systems on Lie groups. Lectures Notes in Control and Information...
  • [3] Ayala, V. and Da Silva, A., Controllability of linear systems on Lie groups with finite semisimple center. Submitted to SIAM Journal,...
  • [4] Ayala, V, and Silva, A., Control sets of linear systems on Lie groups. Submitted to Nonlinear Differential Equations and Applications,...
  • [5] Ayala, V, Kizil, E. and Tribuzy, I., On an algoritm for finding derivations of Lie algebras. Proyecciones Mathematical Journal, Vol 31,...
  • [6] Da Silva, A., Controllability of linear systems on solvable Lie groups, SIAM Journal on Control and Optimization, Vol 54, No. 1, pp. 372-390,...
  • [7] Jouan, Ph., Controllability of linear Systems on Lie group, Journal of Dynamics and Control Systems, Vol 17, pp. 591-616, (2011).
  • [8] Jouan, Ph. and Dath M., Controllability of linear systems on low dimensional nilpotent and solvable Lie groups, Journal of Dynamics and...
  • [9] Jouan, Ph., Equivalence of control systems with linear systems on Lie groups and homogeneous spaces, ESAIM: Control Optimization and Calculus...