Robust Finite-Dimensional Controller Synthesis
In Chapter 7, we saw that the algebra \(M\hat B\left( \beta \right) \) of infinite-dimensional transfer matrices is large enough to contain all β-exponentially stabilizable and detectable state linear systems with finite-rank inputs and outputs and many systems with unbounded input and output operators. In this chapter, we shall develop a theory for robust controllers for transfer matrices in \(M\hat B\left( \beta \right) \), using the mathematical structure outlined in the last two chapters. First, we define the appropriate stability concepts for transfer matrices.
KeywordsGall Peri Stein Balas
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