Control of linear systems with fixed noncommensurate point delays

Emre, E.; Knowles, Gareth J.

doi:10.1109/tac.1984.1103452

Cited by 33 publications

(8 citation statements)

References 14 publications

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…Theorem 3.4 also resembles the known characterization of stabilizability of (3.1) via a stable right-inverse of sI À Ae Às ; Be Às , see Theorem 2.5 of [EK2]. In this case even a ®nite-dimensional stabilizing compensator exists, see Theorem 1.3 of [KKT1].…”

Section: H Gluesing-luerssenmentioning

confidence: 58%

A Convolution Algebra of Delay-Differential Operators and a Related Problem of Finite Spectrum Assignability

Gluesing-Luerssen¹

2000

Math. Control Signals Systems

View full text Add to dashboard Cite

In this paper we investigate a ring of delay-di¨erential operators, which appears in the study of time-delay systems with commensurate point delays. Besides point-delay di¨erential operators, this ring also contains certain distributed delays. It can be described as a certain algebraic extension of the ring of point-delay di¨erential operators as well as a convolution algebra of compact support distributions. It will be shown that the ®nite spectrum assignability problem can be solved for spectrally controllable systems with controllers from this algebra.

show abstract

Section: H Gluesing-luerssenmentioning

confidence: 58%

A Convolution Algebra of Delay-Differential Operators and a Related Problem of Finite Spectrum Assignability

Gluesing-Luerssen¹

2000

Math. Control Signals Systems

View full text Add to dashboard Cite

show abstract

“…For the basic studies of stability of delay-differential systems, the reader is referred to [1]. Emre and Knowles [8] Proof. See [8].…”

Section: Stabilitymentioning

confidence: 99%

Characteristic polynomial assignment for delay-differential systems via 2-D polynomial equations

Šebek¹

1986

1986 25th IEEE Conference on Decision and Control

View full text Add to dashboard Cite

“…Some authors have studied different aspects of the problem of stabilization for a fixed time delay (see [3,5,14,20,23,29,31,34,35,37,39,41,44,[46][47][48][49]) while some others have considered the problem of stabilization independent of delays [4,5,7,[9][10][11]13,[26][27][28]30,33,45]. On the other hand, some of these works are concentrated on the design of asymptotic observers with point delays (commensurate or noncommensurate) while some others consider distributed delays.…”

Section: Introductionmentioning

confidence: 99%

Stabilization of linear distributed control systems with unbounded delay

Henrı́quez¹,

Hernández²

2005

Journal of Mathematical Analysis and Applications

View full text Add to dashboard Cite

In this paper we study the asymptotic stabilization of linear distributed parameter control systems with unbounded delay. Assuming that the semigroup of operators associated with the uncontrolled and nondelayed equation is compact and that the phase space is a uniform fading memory space, we characterize those systems that can be stabilized using a feedback control. As consequence we conclude that every system of this type is stabilizable with an appropriated finite dimensional control.  2004 Elsevier Inc. All rights reserved.

show abstract

Control of linear systems with fixed noncommensurate point delays

Cited by 33 publications

References 14 publications

A Convolution Algebra of Delay-Differential Operators and a Related Problem of Finite Spectrum Assignability

A Convolution Algebra of Delay-Differential Operators and a Related Problem of Finite Spectrum Assignability

Characteristic polynomial assignment for delay-differential systems via 2-D polynomial equations

Stabilization of linear distributed control systems with unbounded delay

Contact Info

Product

Resources

About