Stability and Controls Analysis for Delay Systems
- 1st Edition - November 26, 2022
- Authors: Jinrong Wang, Michal Feckan, Mengmeng Li
- Language: English
- Paperback ISBN:9 7 8 - 0 - 3 2 3 - 9 9 7 9 2 - 8
- eBook ISBN:9 7 8 - 0 - 3 2 3 - 9 9 7 9 3 - 5
Stability and Controls Analysis for Delay Systems is devoted to stability, controllability and iterative learning control (ILC) to delay systems, including first order system, o… Read more
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Request a sales quoteStability and Controls Analysis for Delay Systems is devoted to stability, controllability and iterative learning control (ILC) to delay systems, including first order system, oscillating systems, impulsive systems, fractional systems, difference systems and stochastic systems raised from physics, biology, population dynamics, ecology and economics, currently not presented in other books on conventional fields. Delayed exponential matrix function approach is widely used to derive the representation and stability of the solutions and the controllability. ILC design are also established, which can be regarded as a way to find the control function.
The broad variety of achieved results with rigorous proofs and many numerical examples make this book unique.
- Presents the representation and stability of solutions via the delayed exponential matrix function approach
- Gives useful sufficient conditions to guarantee controllability
- Establishes ILC design and focuses on new systems such as the first order system, oscillating systems, impulsive systems, fractional systems, difference systems and stochastic systems raised from various subjects
1.1 Finite time stability
1.2 Controllability
1.3 Iterative learning control
2. Oscillating delay systems
2.1 Finite time stability
2.2 Controllability
2.3 Iterative learning control
3. Impulsive delay systems
3.1 Asymptotical stability
3.2 Finite time stability
3.3 Controllability
4. Fractional delay systems
4.1 Finite time stability and controllability for Caputo type
4.2 Finite time stability and controllability for Riemann-Liouville type
5. Difference delay systems
5.1 Controllability
5.2 Iterative learning control for fixed trial lengths
5.3 Iterative learning control for varying trial lengths
6. Stochastic delay systems
6.1 Controllability for first order systems
6.2 Controllability for oscillating systems
- No. of pages: 330
- Language: English
- Edition: 1
- Published: November 26, 2022
- Imprint: Academic Press
- Paperback ISBN: 9780323997928
- eBook ISBN: 9780323997935
JW
Jinrong Wang
MF
Michal Feckan
ML