2017
DOI: 10.1109/tac.2016.2625738
|View full text |Cite
|
Sign up to set email alerts
|

Necessary Stability Conditions for Neutral Type Systems With a Single Delay

Abstract: Necessary conditions for the exponential stability of timedelay systems of neutral type, and a new stability criterion for the scalar case are presented in this contribution. They are obtained in the framework of Lyapunov-Krasovskii functionals of complete type. The particularity of these conditions is that they depend exclusively on the delay Lyapunov matrix.Index Terms-Neutral type time-delay systems, stability analysis, Lyapunov-Krasovskii functionals, delay Lyapunov matrix. I. INTRODUCTIONNeutral type dela… Show more

Help me understand this report

Search citation statements

Order By: Relevance

Paper Sections

Select...
3
1
1

Citation Types

0
15
0

Year Published

2020
2020
2024
2024

Publication Types

Select...
5
1

Relationship

3
3

Authors

Journals

citations
Cited by 25 publications
(15 citation statements)
references
References 19 publications
0
15
0
Order By: Relevance
“…Remark 3. A notable fact is that the array  of Lyapunov matrices is similar to the one obtained for difference equations in continuous time 30 , but differs from the one for differential systems 21,31,32 . Of course, the underlying Lyapunov matrices are those corresponding to the class of systems under consideration.…”
Section: Main Result: Stability Conditionsmentioning
confidence: 92%
See 1 more Smart Citation
“…Remark 3. A notable fact is that the array  of Lyapunov matrices is similar to the one obtained for difference equations in continuous time 30 , but differs from the one for differential systems 21,31,32 . Of course, the underlying Lyapunov matrices are those corresponding to the class of systems under consideration.…”
Section: Main Result: Stability Conditionsmentioning
confidence: 92%
“…The space of design parameters ( 1 , 2 ) is depicted in Figure 1. The improvement of the outer estimate of the stability region when in condition (32) increases is clear.…”
Section: Illustrative Examplesmentioning
confidence: 86%
“…The space of design parameters (c 1 , c 2 ) is depicted in Figure 1. The improvement of the outer estimate of the stability region when r in condition (32) increases is clear.…”
Section: Illustrative Examplesmentioning
confidence: 88%
“…A notable fact is that the array  r of Lyapunov matrices is similar to the one obtained for difference equations in continuous time, 30 but differs from the one for differential systems. 21,31,32 Of course, the underlying Lyapunov matrices are those corresponding to the class of systems under consideration.…”
Section: Theorem 5 Let Assumption 1 Hold System (1) Is Exponentially ...mentioning
confidence: 99%
See 1 more Smart Citation