Title :
Linear systsems with rational distributed delay: Reduction and stability
Author :
Verriest, Erik I.
Author_Institution :
Sch. of ECE, Georgia Inst. of Technol., Atlanta, GA, USA
fDate :
Aug. 31 1999-Sept. 3 1999
Abstract :
A reduction method for the class of distributed delay systems with rational kernel is studied. It transforms the delay system to one with fixed crisp delays. Applications in stability analysis and realization with integrators and (fixed) delay lines is shown. The second part illustrates the use of algebraic methods to obtain necessary and sufficient stability conditions for a subclass of systems. These conditions are based on the known NASC for the scalar delay system and involve the location of a finite number of generalized poles in C.
Keywords :
algebra; delay systems; distributed control; stability criteria; NASC; algebraic methods; distributed delay systems; finite number; fixed crisp delays; integrators; necessary stability condition; rational kernel; reduction method; scalar delay system; stability analysis; sufficient stability condition; Asymptotic stability; Delay systems; Delays; Kernel; Matrices; Stability analysis; Transforms; Delay Systems; Realization; Stability;
Conference_Titel :
Control Conference (ECC), 1999 European
Conference_Location :
Karlsruhe
Print_ISBN :
978-3-9524173-5-5
