Abstract
The problem of robustly stabilizing a linear system subject to H ∞-bounded perturbations in the numerator and the denominator of its normalized left coprime factorizations is considered for a class of infinite-dimensional systems. This class has possibly unbounded, finite-rank input and output operators which includes many delay and distributed systems. The optimal stability margin is expressed in terms of the solutions of the control and filter algebraic Riccati equations.
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Curtain, R.F. (1990). Robust Stabilization for Infinite-Dimensional Linear Systems Using Normalized Coprime Factorizations. In: Kaashoek, M.A., van Schuppen, J.H., Ran, A.C.M. (eds) Robust Control of Linear Systems and Nonlinear Control. Progress in Systems and Control Theory, vol 4. Birkhäuser Boston. https://doi.org/10.1007/978-1-4612-4484-4_59
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DOI: https://doi.org/10.1007/978-1-4612-4484-4_59
Publisher Name: Birkhäuser Boston
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