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This book provides a general and systematic treatment of dynamic systems. Based on up-to-date mathematical methods, including distribution theory, it demonstrates the power of these methods in solving dynamics of systems and applied control problems. First, new approaches to the construction problem of the general theory of linear dynamic systems are suggested. Then a new theory of differential equations with nonlinear operations over impulse input actions is developed. Finally, some singular optimization problems are treated on the subject of the mechanics of space flight, the motion transport manipulators in a viscous medium, quantum physics and economics. Audience: This volume will be of interest to electrical and mechanical engineers, as well as to applied mathematicians, whose work involves ordinary differential equations, control and optimization, circuit synthesis, or dynamics and vibration.
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