Robust stabilizers for an implicit dynamical delay system of the neutral type | Zendy

Goodall D. P. | Zendy

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Robust stabilizers for an implicit dynamical delay system of the neutral type

Author(s) -

Goodall D. P.

Publication year - 2005

Publication title -

international journal of robust and nonlinear control

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.361

H-Index - 106

eISSN - 1099-1239

pISSN - 1049-8923

DOI - 10.1002/rnc.1043

Subject(s) - bounding overwatch , control theory (sociology) , nonlinear system , class (philosophy) , set (abstract data type) , stability (learning theory) , type (biology) , mathematics , state (computer science) , property (philosophy) , linear matrix inequality , computer science , mathematical optimization , control (management) , algorithm , physics , ecology , philosophy , epistemology , quantum mechanics , artificial intelligence , machine learning , biology , programming language

A feedback stabilization problem is investigated for a class of imperfectly known implicit systems with discrete and distributed delays. The imperfections acting on the systems, which may be time‐, state‐, delayed state‐, and/or input‐dependent, are modelled as additive nonlinear perturbations influencing a known set of nonlinear functional differential equations of the neutral type. Sufficient conditions, which include a delay‐dependent matrix inequality and a delay‐dependent stability criterion involving some bounding parameters for the uncertainty in the system, are presented and a class of robust feedback stabilizers, including both memoryless and those with memory, are designed to guarantee a prescribed stability property for the class of implicit systems. Copyright © 2005 John Wiley & Sons, Ltd.

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