Abstract
In this chapter, we provide some background material on an anisotropy-based approach to the analysis of linear discrete-time systems (LDTI). Concepts of mean anisotropy of Gaussian random sequences and anisotropic norms for linear systems are introduced inĀ [1, 2, 2] and briefly described below. This chapter deals with generalization of anisotropy-based analysis of the class of descriptor systems using generalized algebraic Riccati equations and convex optimization techniques.
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Notes
- 1.
The stabilizing solution of the Riccati equationĀ (3.45) stands for solution \(\widehat{R}\), that the pair \((E, A + BL)\) is admissible.
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Belov, A.A., Andrianova, O.G., Kurdyukov, A.P. (2018). Anisotropy-Based Analysis of LDTI Descriptor Systems. In: Control of Discrete-Time Descriptor Systems. Studies in Systems, Decision and Control, vol 157. Springer, Cham. https://doi.org/10.1007/978-3-319-78479-3_3
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