On delay-dependent stability conditions

2000 ◽  
Vol 40 (1) ◽  
pp. 71-76 ◽  
Author(s):  
Vladimir L. Kharitonov ◽  
Daniel Melchor-Aguilar
Keyword(s):  
Stability Conditions ◽  
Delay Dependent ◽  
Delay Dependent Stability

Delay-Dependent Stability Criteria for Time-Delayed Systems

2013 ◽  
Vol 313-314 ◽  
pp. 1184-1187
Author(s):  
Chang Hui Song
Keyword(s):  
Sufficient Conditions ◽  
Functional Method ◽  
Stability Conditions ◽  
Quadratic Term ◽  
Asymptotically Stable ◽  
Stability Criteria ◽  
Delayed Systems ◽  
Numerical Examples ◽  
Delay Dependent ◽  
Delay Dependent Stability

This paper drivesthe asymptotical stability conditions for a class of linear systems with time delay.First, aseries of integral inequalities based on quadratic term are formulated bycombining Leibniz-Newton formula. Next, basedon Lyapunov-Krasovskii functional method and linearmatrix inequality, the sufficient conditions of delay-dependent stability are derived toensure thelinear systemswith timedelay are asymptotically stable. Last,the results are illustrated by some numerical examples andthe delay bounds obtained in this paper are of less conservative.

On delay-dependent stability conditions for Takagi–Sugeno fuzzy systems

2014 ◽  
Vol 351 (7) ◽  
pp. 3707-3718 ◽  
Author(s):  
Fernando O. Souza ◽  
Víctor C.S. Campos ◽  
Reinaldo M. Palhares
Keyword(s):  
Fuzzy Systems ◽  
Stability Conditions ◽  
Delay Dependent ◽  
Takagi Sugeno ◽  
Delay Dependent Stability

Stability of Discrete-Time Network Control Systems with Time-Varying Delays

2014 ◽  
Vol 971-973 ◽  
pp. 1334-1337
Author(s):  
Hong Zhao
Keyword(s):  
Control Systems ◽  
Discrete Time ◽  
Networked Control Systems ◽  
Network Control ◽  
Stability Conditions ◽  
Time Varying ◽  
Weighting Matrix ◽  
Network Control Systems ◽  
Delay Dependent ◽  
Delay Dependent Stability

This paper proposes delay-dependent stability conditions of discrete-time networked control systems (NCSs) with unknown, time-varying and bounded delays using Lyapunov-Krasovskii functional and the improved free-weighting matrix approach. Moreover, the conditions are extended to the NCSs with time-varying structured uncertainties.

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