Concepedia

Criteria for asymptotic stability of linear time-delay systems

IEEE Transactions on Automatic Control · 1985 · 239 citations · 7 references

Concepts

Natural SciencesSystems EngineeringDynamical SystemsControl Of Dynamical SystemsControl SystemsControl TheoryStabilityStability TheoryAsymptotic StabilityDelay-dependent Stability CriteriaLinear Time-invariant SystemsStability Analysis Of Linear SystemsTime-delay Systems

Abstract

Several sufficient conditions which guarantee stability of linear time-delay systems are derived. Each of these results is expressed by a succinct scalar inequality and corresponds to a certain extent to the tradeoff between simplicity and sharpness.

References

7

Feedback Systems: Input-Output Properties

C. Desoer, M. Vidyasagar, A.N. Willson · Journal of Dynamic Systems Measurement and Control · 1975 · 3.3K citations · Full text

Natural Sciences, Electrical Engineering, Mathematics +15

On the relationship between zero criteria for two-variable polynomials and asymptotic stability of delay differential equations

Edward W. Kamen · IEEE Transactions on Automatic Control · 1980 · 212 citations

Natural Sciences, Mathematics, Derivatives +13

Simple stability criteria for single and composite linear systems with time delays

Takehiro Mori, Norio Fukuma, Michiyoshi Kuwahara · International Journal of Control · 1981 · 203 citations

Engineering, Systems Engineering, Dynamical Systems +16

A way to stabilize linear systems with delayed state

Tomoya Mori, Erik Noldus, M. Kuwahara · Automatica · 1983 · 133 citations

Engineering, Systems Engineering, Dynamical Systems +13

Necessary and sufficient conditions for delay-independent stability of linear autonomous systems

Richard M. Lewis, Brian D. O. Anderson · IEEE Transactions on Automatic Control · 1980 · 116 citations

Engineering, Autonomous Systems, Systems Engineering +17