Stability and Controls Analysis for Delay Systems

Stability 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.

《延遲系統的穩定性與控制分析》專注於延遲系統的穩定性、可控性和迭代學習控制（ILC），包括一階系統、振盪系統、衝擊系統、分數階系統、差分系統和從物理學、生物學、人口動態學、生態學和經濟學中提出的隨機系統，這些系統在其他傳統領域的書籍中尚未涉及。延遲指數矩陣函數方法被廣泛應用於推導解的表示和穩定性以及可控性。同時也建立了ILC設計，可以視為尋找控制函數的一種方法。

這本書通過嚴謹的證明和許多數值例子展示了廣泛的成果，使其獨一無二。