Discussion: “Stability of Linear Oscillating Systems With Constant Time Lag” (Ansoff, H. I., 1949, ASME J. Appl. Mech., 16, pp. 158–164)

Exponential Stability of Linear Systems with Multiple Time Delays

In this paper, a class of linear systems with multiple time delays is studied. The problem of exponential stability of time-delay systems has been investigated by using Lyapunov functional method. We will convert the system of multiple time delays into a single time delay system and show that if the old system is stable then the new one is so. Then we investigate the stability of converted new ...

Piecewise Constant Controlled Linear Fuzzy Systems

Stability Results for Switched Linear Systems with Constant Discrete Delays

This paper investigates the stability properties of switched systems possessing several parameterizations or configurations while being subject to internal constant point delays. Some of the stability results are formulated based on Gronwall’s lemma for global exponential stability, and they are either dependent on or independent of the delay size but they depend on the switching law through th...

On the Global Asymptotic Stability of Switched Linear Time-Varying Systems with Constant Point Delays

This paper investigates the asymptotic stability of switched linear time-varying systems with constant point delays under not very stringent conditions on the matrix functions of parameters. Such conditions are their boundedness, the existence of bounded time derivatives almost everywhere, and small amplitudes of the appearing Dirac impulses where such derivatives do not exist. It is also assum...

h-Stability of Linear Matrix Differential Systems

and Applied Analysis 3 whereW andZ are the solutions of (15) and (16), respectively, and I is the n × n identity matrix. Therefore, Φ(t, t 0 , x 0 ) = W(t, t 0 ) ⊗ Z T (t, t 0 ) . (22) (ii) Employing Lemma 2 and substituting forΦ the righthand side of (22), we get y (t, t 0 , x 0 ) = x (t, t 0 , x 0 )