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

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Stability and Convergence Rateys stability notions for systems modeled by differential laws (ODEs, PDEs, evolution equations, and inclusion) and discusses some related convergence properties important for the analysis of homogeneous control systems.

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Dilation Groups in Banach, Hilbert, and Euclidean Spacesar dilations (such as homogeneous cones, spheres and balls) are presented. A class of linear dilations in function spaces is studied. All results are supported with examples in finite-dimensional and infinite-dimensional spaces.

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Homogeneous Optimal Controlnd revise the conventional tools of an optimal control design (the Bellman function method and the Pontryagin maximum principle) under the assumption about a homogeneity of the system model and the cost functional.

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Book 20201st edition Banach/Hilbert (infinite-dimensional) spaces. ?It develops methods of stability and robustness analysis, control design, state estimation and discretization of homogeneous control systems.?.Generalized Homogeneity?in Systems and Control?.is structured in two parts. Part I discusses various models o

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