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The homogeneous domination approach is introduced to solve the state feedback stabilization problem for stochastic high-order nonlinear systems with time-varying delay. Under the weaker conditions on the drift and diffusion terms, by using the homogeneous domination approach and solving several troublesome obstacles in the design and analysis procedure, a state feedback controller is constructed to...
This paper deals with the input-to-state practical stabilization of nonlinear systems described by neutral functional differential equations in Hale's form, affine in the control input. An unknown, Lebesgue measurable, locally essentially bounded disturbance adding to the control law, which describes actuator and general control design errors, is considered. The Arstein-Sontag approach, integrated...
This paper investigates the problem of the global stabilization via state feedback and adaptive technique for a class of high-order stochastic nonlinear systems with more uncertainties/unknowns. First of all, two stochastic stability concepts are slightly extended to allow the systems with more than one solution. To solve the stabilization problem, a lot of substantial technical obstacles should be...
This paper focuses on the problem of designing stabilizing state feedback control laws for rational nonlinear systems subject to actuator saturation. The results are based on the differential-algebraic representation of rational systems and a generalized sector relation to address the saturation effects. From these elements, LMI based conditions are devised to compute a state feedback control law...
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