The complex structured singular value
Automatica (Journal of IFAC) - Special issue on robust control
Automatica (Journal of IFAC)
Small-signal stability criterion for electrical networks containing lossless transmission lines
IBM Journal of Research and Development
Lyapunov-Krasovskii approach to the robust stability analysis of time-delay systems
Automatica (Journal of IFAC)
On the asymptotic stability of coupled delay differential and continuous time difference equations
Automatica (Journal of IFAC)
Brief paper: Lyapunov criteria for stability in Lp norm of special neutral systems
Automatica (Journal of IFAC)
| Hi-index | 22.15 |
A new form of coupled differential-difference equations with one delay in each channel is proposed to model systems with multiple delays. This formulation has significant advantage over the traditional differential-difference equations or the prevailing form of coupled differential-difference equations with multiple delays. Fundamental solutions, general solutions, and the construction of the Lyapunov-Krasovskii functional are discussed. For systems with a large number of state variables with multiple low-dimensional delay elements, this formulation allows a drastic reduction of computational cost as compared to the traditional differential-difference equation formulation when the discretized Lyapunov-Krasovskii functional method is used.