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This paper considers the problem of delay-dependent robust stability for singularly perturbed systems with state delays. Some new delay-dependent stability criteria are derived by employing appropriate Lyapunov-Krasovskii functional. Since some free weighting matrices are used to express the relationship between the terms in the Leibniz-Newton formula, the new criteria are less conservative than existing...
The problem of delay-dependent H∞ control for T-S fuzzy descriptor networked control systems with multiple state time-delays has been investigated. In terms of linear matrix inequality approach, an improved delay-dependent stability criterion, which ensures the system is regular, impulse free and satisfied with a prescribed H∞ performance condition, is given without using model transformation and...
This paper deals with the problem of delay-dependent stability for T-S fuzzy descriptor networked control systems with multiple state time-delays. Without using model transformation and bounding technique for cross terms, an improved delay-dependent stability criterion is established in terms of strict linear matrix inequalities (LMIs), which ensure the system is regular, impulse free and asymptotically...
This paper is concerned with the robust exponential stability in mean square for uncertain stochastic systems with time delay. Based on Ito?? calculus rules, a more general Lyapunov-Krasovskii functional is constructed and the action of the infinitesimal generator of Ito?? diffusion on it is computed explicitly. Then, a novel delay-dependent stability criterion is obtained in terms of linear matrix...
This paper is concerned with the problem of robust exponential stabilization for uncertain system with mode-dependent time delays and Markovian jump parameters. The delay factor is assumed to be time-varying and belongs to a given interval. The uncertainties considered in this paper are norm-bounded and possibly time-varying. A new state feedback controller with uncertain Markovian jump parameters...
This paper presents an augmented 4 channel architecture for stable teleoperation under time delay by using damping injection on each robot. The 4 channel architecture is optimized for good performance, but can easily become unstable under delay. By introducing local damping to the robots, we can obtain a 4 channel teleoperation architecture which is more robust against time delays. By using the hybrid...
A linear matrix inequality (LMI) approach to robust stability for a class of general Lurie indirect type control systems with time delay and norm-bounded parameter uncertainty is developed. Based on Lyapunov stability theory, some new delay-dependent robust absolute stability criteria are derived by introducing some free-weighting matrices. Numerical example is presented to illustrate the effectiveness...
The robust stability of Lurpsilae system with time-varying delay and time-varying parametric uncertainties is considered in this letter. The stability condition is given in terms of linear matrix inequality (LMI). Numerical example is given to demonstrate the effectiveness of our theoretical results.
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