TY - JOUR
T1 - Lower and upper bounds for the quadratic cost of linear regulators
AU - Hoffmann, A.
AU - Langholz, G.
PY - 1979/5
Y1 - 1979/5
N2 - Lower and upper bounds for the quadratic cost functional of linear regulators are derived. These bounds are explicitly expressed in terms of some system parameters, arc independent of the initial conditions and arc rather easy to compute. The results are based on a previous work by the authors concerning the lower bound. In this paper, the upper bound established is used to improve the lower bound, both being calculated by an iterative procedure to any degree of accuracy which is dependent on tho number of iterations only.
AB - Lower and upper bounds for the quadratic cost functional of linear regulators are derived. These bounds are explicitly expressed in terms of some system parameters, arc independent of the initial conditions and arc rather easy to compute. The results are based on a previous work by the authors concerning the lower bound. In this paper, the upper bound established is used to improve the lower bound, both being calculated by an iterative procedure to any degree of accuracy which is dependent on tho number of iterations only.
UR - http://www.scopus.com/inward/record.url?scp=0018466627&partnerID=8YFLogxK
U2 - 10.1080/00207177908922733
DO - 10.1080/00207177908922733
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AN - SCOPUS:0018466627
SN - 0020-7179
VL - 29
SP - 797
EP - 802
JO - International Journal of Control
JF - International Journal of Control
IS - 5
ER -