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This paper presents a novel Lyapunov-type functional to develop a new robust control method for general time-varying delay stochastic uncertain systems with Brownian motion (Wiener process) and structural uncertainties. The proposed novel Lyapunov-type functional can effectively treat the general cases where the state derivative does not exist due to Brownian motion and the derivative of time-varying...
This paper presents a new robust sliding mode control (SMC) method with well-developed theoretical proof for general uncertain time-varying delay stochastic systems with structural uncertainties and the Brownian noise (Wiener process). The key features of the proposed method are to apply singular value decomposition (SVD) to all structural uncertainties and to introduce adjustable parameters for control...
This paper indicates the chaotic essence of Duffing system and qualitatively selects the range of the amplitude parameter and the frequency parameter when system is in the state of chaos, which can effectively control the system to the desired state of chaos by making the global bifurcation diagram, phase diagram and poincare sections and analyzing its movement behavior with periodic excitation force...
This paper considers the problem of output feedback passive control for delayed systems with time-varying delay. We develop a dynamic output feedback controller design method and propose such controllers that guarantee the closed-loop system be strongly stable with strictly passive. Sufficient conditions for the solvability of the problem are derived in terms of linear matrix inequalities (LMIs)....
This paper deals with the problem of output feedback robustly passive control for parameter uncertain systems with time-varying delay. The parameter uncertainties are norm-bounded. We provide a dynamic output feedback controller that guarantees the closed-loop systems strongly robustly stable with strictly passive for all admissible uncertainties. Delay-dependent sufficient conditions for the existence...
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