Robust stability analysis of time-delay systems in MATLAB

Medvedeva, Irina V.

doi:10.1109/icctpea.2014.6893308

Search citation statements

Order By: Relevance

Paper Sections

Select...

Theorem 3 If System (1) Is Exponentially Stable And1

Introduction1

Citation Types

Supporting

Mentioning

Contrasting

Year Published

2015

Publication Types

Select...

Other1

Relationship

Self Cite0

Independent1

Authors

Journals

Cited by 1 publication

(2 citation statements)

References 4 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Moreover, it can be shown that making a few iterations we can construct a sequence of such bounds converging to the exact value of decay rate of system (1), see [10] for more details in case of concentrated delays. Now we are going to provide the estimation for the γ-factor from the inequality (2), and we will do it in two ways.…”

Section: Theorem 3 If System (1) Is Exponentially Stable Andmentioning

confidence: 99%

See 1 more Smart Citation

Exponential estimates for solutions of linear systems with distributed delay

Medvedeva

2015

2015 International Conference "Stability and Control Processes" in Memory of V.I. Zubov (SCP)

View full text Add to dashboard Cite

Abstract-In this paper, for a class of linear time-invariant systems with distributed delay, the robust stability conditions are obtained, and the exponential estimates for the solutions are constructed. The results are derived within the framework of the Lyapunov-Krasovskii functionals with a given derivative. The functional, that does not admit a quadratic lower bound and therefore is considered to be inappropriate for the robustness analysis, is used.

show abstract

Section: Theorem 3 If System (1) Is Exponentially Stable Andmentioning

confidence: 99%

“…Note that methodology of [12] do not work with the functionals we use. The paper presents an extension of the work [10] to the distributed delay case.…”

Section: Introductionmentioning

confidence: 99%

Exponential estimates for solutions of linear systems with distributed delay

Medvedeva

2015

2015 International Conference "Stability and Control Processes" in Memory of V.I. Zubov (SCP)

View full text Add to dashboard Cite

show abstract

Robust stability analysis of time-delay systems in MATLAB

Cited by 1 publication

References 4 publications

Exponential estimates for solutions of linear systems with distributed delay

Exponential estimates for solutions of linear systems with distributed delay

Contact Info

Product

Resources

About