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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
Optimization of Dynamical Systems with Impulse Controls and Shocks

Optimization of Dynamical Systems with Impulse Controls and Shocks

Miller, Boris
Rubinovich, Evgeny

Hardcover

Series: Systems & Control: Foundations & Applications

General MathematicsGeneral Science

ISBN10: 303164123X
ISBN13: 9783031641237
Publisher: Birkhauser
Published: Sep 20 2024
Pages: 624
Weight: 2.35
Height: 1.38 Width: 6.14 Depth: 9.21
Language: English

This text explores the state-of-the-art in the rapidly developing theory of impulse control and introduces the theory of singular space-time transformations, a new method for studying shock mechanical systems. Two approaches in the theory of impulse control are presented: The first, more traditional approach defines the impulsive action as a discontinuity of phase coordinates depending on the current time, the state preceding the action, and its magnitude. The second requires the use of modern methods for describing dynamical systems - differential equations with measures. The impulse is treated as an idealization of a very short action of high magnitude, which produces an almost abrupt change of phase coordinates. The relation between these two approaches is also discussed, and several applications, both traditional and emerging, are considered.

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