Absolute stabilization of Lur´e systems with bounds on the sensitivity function

Considers the problem of absolute stabilization of a Lur´e system with its sensitivity less than some pre specified value. First the authors derive a sufficient condition for absolute stabilization of a Lur´e system and show that a stabilizing controller can be obtained by using the Nevanlinna-Pick (N-P) interpolation technique. Then, the authors extend the results of their previous papers (1992, 1993) to the problem of absolute stabilization of a Lur´e system with its sensitivity less than some pre specified value and obtain two sufficient conditions for this problem