In this chapter, non-fragile control and filtering problems for linear systems are investigated under both H∞ and guaranteed cost performance index, using the linear matrix inequality (LMI) technique and the coefficient sensitivity method. For the convenience of discussion in the rest of this chapter, some preliminaries, including a few definitions, notions, and lemmas, are presented in this chapter.
A definition of delta operator or Euler operator is introduced as follows:
Definition 2.1 [44, 45] For a continuous-time signal x(t), the discrete-time sequence by sampling the continuous-time signal is x(nh) where h is the sampling period and n = 0, 1, 2,…. We assume that h = 0 signifies x(nh ...
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