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Full Description
Stabilization of Uncertain Fractional-Order Neutral-Type Delay Systems presents an in-depth exploration of the challenges faced in stabilizing fractional-order systems with uncertainties, particularly those involving neutral-type delays. The book opens with a thorough introduction before advancing from constant fractional-order neutral-type systems (CFONT) to variable fractional-order counterparts (VFONT). Addressing real-world issues such as control input saturation and actuator delay, the book discusses both non-optimal and sub-optimal control approaches, including guaranteed cost controllers (GCC). It delves into output-feedback control as a viable alternative and compares static and dynamic feedback controllers, noting that dynamic controllers can enhance transient response but introduce additional complexity.
These methods ensure closed-loop system stability and performance by providing clear stabilization conditions expressed as linear matrix inequalities (LMIs), which can be efficiently solved using tools like MATLAB's LMI toolbox or freely available software such as SEDUMI and YALMIP. Beyond theory, the book examines state- and output-feedback controller structures, acknowledging the practical limitations of accessing all system states.
Contents
Part I Introduction
1. Introduction
Part II Stabilization of constant fractional-order neutral-type delay systems Outline Basic concept Lemmas
2. Stabilization of constant fractional-order neutral-type delay systems subject to actuator saturation
3. Stabilization of constant fractional-order neutral-type delay systems with multiple delays and nonlinear perturbations subject to actuator saturation
4. Stabilization of constant fractional-order neutral-type delay systems with distributed delays and nonlinear perturbations subject to actuator saturation
5. Observer-based stabilization of constant fractional-order neutral-type delay systems with time-varying delay subject to actuator saturation
Part III Guaranteed-cost-based control technique for stabilization of constant fractional-order neutral-type delay systems Outline Basic concept Lemmas
6. Stabilization with time-varying structured uncertainties
7. Stabilization with time-varying structured uncertainties and nonlinear perturbations
Part IV Stability and stabilization of variable fractional-order neutral-type delay systems Outline Basic concept Lemmas
8. Stability of variable fractional-order neutral-type delay systems
9. Stabilization of variable fractional-order neutral-type delay systems



