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The design of robust H∞ controller for a class of uncertain non-linear systems with time-varying state delay and input control delay is considered. The uncertainties are norm-bounded and the states of the uncertain systems are available. A new sufficient condition of robust stability control law is given for the non-linear systems by constructing Lyapunov function, and the closed-loop cost function...
This paper investigates robust stability analysis and stabilization of delay and uncertain systems approximated by a Takagi-Sugeno (T-S) fuzzy model. An innovative approach is proposed to develop delay-dependent stability criteria of the systems, which makes use of less-redundant information to construct Lyapunov function, employs an integral equation method to handle the cross-product terms, and...
The paper mainly studies the problem of Hinfin robust stability for a new type of uncertain nonlinear time-delay composite systems. Switched uncertain nonlinear time-delay composite systems. Based on single Lyapunov function and multiple Lyapunov function, respectively, two design schemes of decentralized switching laws are obtained, under which the systems are shown to be asymptotically stable with...
This paper investigates stability for systems with practical levels of complexity including nonlinearities, large-scale interconnections, time-delays, uncertainty and heterogeneous signals, in this case chosen to be impulses in continuous-time. More precisely, the results give robust global exponential stability (RGES) for complex impulsive dynamical systems. By utilizing Lyapunov function and Lyapunov-Krasovskii...
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