TY - JOUR
T1 - New Lyapunov-Krasovskii functionals for stability of linear retarded and neutral type systems
AU - Fridman, E.
N1 - Funding Information:
This work was supported by the Ministry of Absorption of Israel.
PY - 2001
Y1 - 2001
N2 - A new (descriptor) model transformation and a corresponding Lyapunov-Krasovskii functional are introduced for stability analysis of systems with delays. Delay-dependent/delay-independent stability criteria are derived for linear retarded and neutral type systems with discrete and distributed delays. Conditions are given in terms of linear matrix inequalities and for the first time refer to neutral systems with discrete and distributed delays. The proposed criteria are less conservative than other existing criteria (for retarded type systems and neutral systems with discrete delays) since they are based on an equivalent model transformation and since they require bounds for fewer terms. Examples are given that illustrate advantages of our approach.
AB - A new (descriptor) model transformation and a corresponding Lyapunov-Krasovskii functional are introduced for stability analysis of systems with delays. Delay-dependent/delay-independent stability criteria are derived for linear retarded and neutral type systems with discrete and distributed delays. Conditions are given in terms of linear matrix inequalities and for the first time refer to neutral systems with discrete and distributed delays. The proposed criteria are less conservative than other existing criteria (for retarded type systems and neutral systems with discrete delays) since they are based on an equivalent model transformation and since they require bounds for fewer terms. Examples are given that illustrate advantages of our approach.
KW - Delay-dependent/delay-independent criteria
KW - Linear matrix inequalities
KW - Stability
KW - Time-delay systems
UR - http://www.scopus.com/inward/record.url?scp=0034915494&partnerID=8YFLogxK
U2 - 10.1016/S0167-6911(01)00114-1
DO - 10.1016/S0167-6911(01)00114-1
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AN - SCOPUS:0034915494
SN - 0167-6911
VL - 43
SP - 309
EP - 319
JO - Systems and Control Letters
JF - Systems and Control Letters
IS - 4
ER -