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A Continuous-Time Perspective on Accelerated Optimization and Control / by Shyam Kamal, Sunidhi Pandey.
- Format:
- Book
- Author/Creator:
- Kamal, Shyam.
- Series:
- Studies in Systems, Decision and Control, 2198-4190 ; 693
- Language:
- English
- Subjects (All):
- Electrical engineering.
- Mathematical optimization.
- Mathematics--Data processing.
- Mathematics.
- Electrical and Electronic Engineering.
- Optimization.
- Computational Mathematics and Numerical Analysis.
- Local Subjects:
- Electrical and Electronic Engineering.
- Optimization.
- Computational Mathematics and Numerical Analysis.
- Physical Description:
- 1 online resource (176 pages)
- Edition:
- 1st ed. 2026.
- Place of Publication:
- Cham : Springer Nature Switzerland : Imprint: Springer, 2026.
- Summary:
- Designed for advanced learners and researchers, the book delivers a rigorous exploration of continuous‑time formulations that underpin next‑generation optimization‑based control strategies. It emphasizes core topics such as gradient flows, Lyapunov stability, finite‑ and fixed‑time convergence, predefined‑time stability, and feedback optimization—precisely the themes central to contemporary research in dynamical optimization. The book blends theoretical development with practical insight, supported by worked examples, end‑of‑chapter references, and rich visualizations through 80 high‑quality colour figures. Readers gain a deep understanding of how continuous‑time models can be leveraged to design robust controllers with guaranteed convergence properties—even in constrained or time‑varying environments.
- Contents:
- 1. A Journey from Classical Control towards Variable Structure Control
- 2. Mathematical Preliminaries
- 3. A Difference Equation with Minima based Reaching Law for Discrete Sliding Mode Control
- 4. Reaching Laws Based on Difference Equations with Minima and Rate-Regulatory Function
- 5. A Lyapunov Characterization of Difference Equation with Minima based Discrete Sliding Mode Control.
- Notes:
- Print version record.
- Description based on publisher supplied metadata and other sources.
- ISBN:
- 9783032316455
- OCLC:
- 1615012223
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