Titlebook: Generalized Homogeneity in Systems and Control; Andrey Polyakov Book 20201st edition Springer Nature Switzerland AG 2020 Homogeneous Syste

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Evaluation of conservation interest,A homogeneity-based approach to the stability, regularity, and robustness analysis of dynamical systems in finite-dimensional and infinite-dimensional spaces is introduced in this chapter. In particular,

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https://doi.org/10.1007/978-1-4020-9278-7This chapter deals with homogeneous stabilization of evolution systems. We design finite-time and fixed-time stabilizing homogeneous control laws for linear and nonlinear evolution equations in Hilbert and Euclidean spaces.

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Infinite-Dimensional ModelsThe theory of evolution equations proposes a unified approach to a modeling and an analysis of dynamical systems governed by generalized differential laws. A state vector . in this case is an element of an infinite-dimensional Banach (or Hilbert) space ..

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Homogeneous MappingsThis chapter introduces .-homogeneous operators and functionals in both finite-dimensional and infinite-dimensional spaces. The so-called canonical homogeneous norm in a Banach space . is studied. Several important properties of homogeneous mappings are obtained.

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Analysis of Homogeneous Dynamical SystemsA homogeneity-based approach to the stability, regularity, and robustness analysis of dynamical systems in finite-dimensional and infinite-dimensional spaces is introduced in this chapter. In particular,

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