TY - GEN

T1 - Scanning the space of parameters for stability regions of neutral type delay systems: A Lyapunov matrix approach

AU - Gomez, M.A.

AU - Cuvas, C.

AU - Mondie, S.

AU - Egorov, A.V.

PY - 2016

Y1 - 2016

N2 - © 2016 IEEE.A novel approach for carrying out the second step of the production of stability charts of neutral type time-delay systems is presented. It consists in detecting stability regions in the space of delays or other parameters, once the imaginary axis roots crossing boundaries have been found. It is based on recently reported stability tests in terms of the delay Lyapunov matrix which plays a central role in the framework of complete type Lyapunov-Krasovskii functionals. A number of improvements aiming at speeding up the computation of the delay Lyapunov matrix and the scan of the space of parameters are introduced. The method is tested on challenging academic examples of the literature, and its strength and limitations are discussed.

AB - © 2016 IEEE.A novel approach for carrying out the second step of the production of stability charts of neutral type time-delay systems is presented. It consists in detecting stability regions in the space of delays or other parameters, once the imaginary axis roots crossing boundaries have been found. It is based on recently reported stability tests in terms of the delay Lyapunov matrix which plays a central role in the framework of complete type Lyapunov-Krasovskii functionals. A number of improvements aiming at speeding up the computation of the delay Lyapunov matrix and the scan of the space of parameters are introduced. The method is tested on challenging academic examples of the literature, and its strength and limitations are discussed.

U2 - 10.1109/CDC.2016.7798741

DO - 10.1109/CDC.2016.7798741

M3 - Conference contribution

SN - 9781509018376

SP - 3149

EP - 3154

BT - 2016 IEEE 55th Conference on Decision and Control, CDC 2016

ER -