Titlebook: Control of Discrete-Time Descriptor Systems; An Anisotropy-Based Alexey A. Belov,Olga G. Andrianova,Alexander P. Ku Book 2018 Springer Int

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Basics of Discrete-Time Descriptor Systems Theory,The mathematical theory of discrete-time descriptor systems is different from the theory of normal ones. In spite of some similarities, discrete-time descriptor systems provide radically different behavior such as noncausality. This chapter deals with some important basic aspects of linear discrete-time descriptor systems.

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Alexey A. Belov,Olga G. Andrianova,Alexander P. KuContains numerous examples of practical application of descriptor systems in various fields.Presents an information-theoretic approach to mathematical description of colored noise.Equips readers with

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Anisotropy-Based Analysis of LDTI Descriptor Systems,of mean anisotropy of Gaussian random sequences and anisotropic norms for linear systems are introduced in?[., ., .] 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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Optimal Control,lems. The solution of the first is based on generalized discrete-time algebraic Riccati equations (GDARE). The solution of the second is based on a two-stage control procedure that consists of causalization and stabilization.

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https://doi.org/10.1007/978-3-319-78479-3LDTI Descriptor Systems; Anisotropy-based Robust Control; Anisotropic Norm; Coloured Noise; Mean Anisotr

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https://doi.org/10.1007/978-3-658-36887-6of mean anisotropy of Gaussian random sequences and anisotropic norms for linear systems are introduced in?[., ., .] 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.