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This book discusses the realization and control problems of finite-dimensional dynamical systems which contain linear and nonlinear systems. The author focuses on algebraic methods for the discussion of control problems of linear and non-linear dynamical systems. The book contains detailed examples to showcase the effectiveness of the presented method. The target audience comprises primarily research experts in the field of control theory, but the book may also be beneficial for graduate students alike. .

Differentiable dynamical systems. --- Vibration. --- Control and Systems Theory. --- Dynamical Systems and Ergodic Theory. --- Vibration, Dynamical Systems, Control. --- Cycles --- Mechanics --- Sound --- Differential dynamical systems --- Dynamical systems, Differentiable --- Dynamics, Differentiable --- Differential equations --- Global analysis (Mathematics) --- Topological dynamics --- Control theory. --- Dynamics --- Machine theory --- Control engineering. --- Dynamics. --- Ergodic theory. --- Dynamical systems. --- Dynamical systems --- Kinetics --- Mathematics --- Mechanics, Analytic --- Force and energy --- Physics --- Statics --- Ergodic transformations --- Continuous groups --- Mathematical physics --- Measure theory --- Transformations (Mathematics) --- Control engineering --- Control equipment --- Control theory --- Engineering instruments --- Automation --- Programmable controllers