论文信息 - Simple stability criteria for single and composite linear systems with time delays

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

Easy ways to test the stability of systems involving time delays have been sought. In this paper, several stability conditions with an extremely simple form are provided. First, some criteria for single linear systems with time delays are presented. Then these results are extended to the composite linear systems with time delays which exist in each subsystem and in the interconnections between subsystems. Among these criteria, those which are expressed by scalar inequalities also permit us to assess the transient behaviour of systems.

T. Mori | N. Fukuma | M. Kuwahara

[1] M. Fiedler,et al. On matrices with non-positive off-diagonal elements and positive principal minors , 1962 .

[2] F. V. Vleck,et al. Stability and Asymptotic Behavior of Differential Equations , 1965 .

[3] W. Walter. Differential and Integral Inequalities , 1970 .

[4] G. Nazaroff,et al. Stability and stabilization of linear differential delay systems , 1973 .

[5] G. Hewer,et al. Stabilization of linear, autonomous differential-delay systems , 1973 .

[6] John L. Casti,et al. Introduction to the theory and application of differential equations with deviating arguments , 1973 .

[7] On the Macroscopic Asymptotic Stability of an Interconnected System with Time-Delay , 1974 .

[8] W. Kwon,et al. A note on feedback stabilization of a differential-difference system , 1977 .

[9] Takehiro Mori,et al. On Stability Criteria for the Composite Systems Including Time Delays , 1979 .

[10] A. Olbrot,et al. The effects of feedback delays on the performance of multivariable linear control systems , 1980 .