TY - JOUR
T1 - Regularity of solutions of retarded equations and application to sensitivity of linear quadratic controllers to small delays
AU - Ndiaye, Papa Momar
AU - Sorine, Michel
PY - 2000
Y1 - 2000
N2 - We analyze the behaviour of the solution of a linear differential equation of retarded type when the delays vary, for Lp initial conditions, given some p∈[1,∞]. First, we state continuity and differentiability results for the solution viewed as function of the delays. Those regularity results are applied to analyze the small delay sensitivity for quadratic performance index associated to stabilization with a finite dimensional a priori feedback.
AB - We analyze the behaviour of the solution of a linear differential equation of retarded type when the delays vary, for Lp initial conditions, given some p∈[1,∞]. First, we state continuity and differentiability results for the solution viewed as function of the delays. Those regularity results are applied to analyze the small delay sensitivity for quadratic performance index associated to stabilization with a finite dimensional a priori feedback.
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U2 - 10.1006/jmaa.2000.6751
DO - 10.1006/jmaa.2000.6751
M3 - Article
AN - SCOPUS:0034179292
SN - 0022-247X
VL - 245
SP - 189
EP - 203
JO - Journal of Mathematical Analysis and Applications
JF - Journal of Mathematical Analysis and Applications
IS - 1
ER -