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This chapter introduces some basics of the theory of homogeneous dynamical systems. A symmetry of solutions and convergence rates of homogeneous differential equations are studied in simple examples. An evolution of the homogeneity theory is briefly surveyed. Possible advantages of the homogeneity-based approach to control systems design are discussed.

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Introduction

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  • 发表日期：

    2025年

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  • Andrey Polyakov

摘要

This chapter introduces some basics of the theory of homogeneous dynamical systems. A symmetry of solutions and convergence rates of homogeneous differential equations are studied in simple examples. An evolution of the homogeneity theory is briefly surveyed. Possible advantages of the homogeneity-based approach to control systems design are discussed.