TY - GEN
T1 - Strong simultaneous stabilization problem using linear matrix inequalities
AU - Saif, Abdul Wahid A.
PY - 2010
Y1 - 2010
N2 - In this paper, the strong simultaneous stabilization problem for a collection of continous-time systems is considered. A sufficient condition for the existence of dynamic stable controller that stablize a single plant or simultaneously stabilizing a set of plants is obtained in terms of Linear Matrix Inequalities or Quadratic Matrix Inequalities. It is shown that these considered problems are solvable if a corresponding linear matrix inequality (s) are solvable. Furthermore, we derive a sufficient condition for the QMI problem to be solvable.
AB - In this paper, the strong simultaneous stabilization problem for a collection of continous-time systems is considered. A sufficient condition for the existence of dynamic stable controller that stablize a single plant or simultaneously stabilizing a set of plants is obtained in terms of Linear Matrix Inequalities or Quadratic Matrix Inequalities. It is shown that these considered problems are solvable if a corresponding linear matrix inequality (s) are solvable. Furthermore, we derive a sufficient condition for the QMI problem to be solvable.
KW - Linear matrix inequality
KW - Simultaneous stabilization
KW - Stable controllers
KW - Strong stabilization
UR - https://www.scopus.com/pages/publications/78149246997
U2 - 10.1109/SSD.2010.5585509
DO - 10.1109/SSD.2010.5585509
M3 - Conference contribution
AN - SCOPUS:78149246997
SN - 9781424475346
T3 - 2010 7th International Multi-Conference on Systems, Signals and Devices, SSD-10
BT - 2010 7th International Multi-Conference on Systems, Signals and Devices, SSD-10
ER -