id: 05878854
dt: j
an: 05878854
au: Aliev, Fikret A.; Velieva, N.I.; Safarova, N.A.; Niftili, A.A.
ti: Methods of solving of optimal stabilization problem of the discrete
    periodic system with respect to output variable.
so: Appl. Comput. Math. 6, No. 1, 27-38 (2007).
py: 2007
pu: Baku State University, Institute of Applied Mathematics, Baku
la: EN
cc: 
ut: static output feedback; periodic systems; inverse problem; numerical
    methods; Lyapunov’s equation
ci: 
li: http://www.science.az/acm/v_6_n_1_2007/titul.htm
ab: Summary: We present new relations to calculate feedback matrix coefficients
    for a discrete periodic optimal regulator problem with respect to
    output. On the base of these relations the analogue of Levine - Athans
    algorithm (in stationary case) is created, that on an example does not
    improve the exactness of solutions. Therefore, using the gradient
    methods, we offer a calculating algorithm that improves the exactness
    of solution of the problem. Further, the inverse problem is formulated
    for a static feedback discrete periodic system with respect to output
    variable on the base of linear matrix inequalities (LMI). A new
    calculating algorithm is offered for its solution. The systems of
    inequalities are composed by means of relations defining the feedback
    chain matrix of the linear regulators for the discrete periodic systems
    that are obtained in section 2 of the paper.
rv: