Stabilizing Inputs for Implicit Functional Differential Equations of the Neutral Type with Unknown Time-Varying Delays
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- 作者：D. P. Goodall
- 关键词：Asymptotic stability ; discrete and distributed time ; varying delays ; feedback stabilization ; implicit systems ; memoryless controls ; uncertain dynamic systems
- 刊名：Journal of Dynamical and Control Systems
- 出版时间：April, 2007
- 出版年：2007
- 期刊代码：14_10792724
- 类别：ph
- 卷：13
- 期：2
- 页码：177-215
- 数据来源：sp
摘要
A robust stabilization problem is investigated for a class of imperfectly known implicit systems with discrete and distributed time-varying delays. The delays are assumed to be unknown but bounded, with known bounds. The imperfections acting on the systems, which may be time-, state-, delayed state-, and/ or inputdependent, are modelled as additive nonlinear perturbations influencing a known set of implicit nonlinear functional differential equations of the neutral type. Sufficient conditions, which include delaydependent matrix inequalities and a delay-dependent stability criterion involving some bounding parameters for the uncertainty and delays in the system, are presented, and a class of robust feedback memoryless control inputs are designed to guarantee a prescribed asymptotic stability property for the class of implicit systems.