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Global output feedback stabilization for a class of switched nonlinear systems is addressed. The tasks of finding a common Lyapunov function and designing state stabilizing feedback laws are solved simultaneously based on the adding a power integrator approach. Reduced-order compensators for the switched nonlinear system are constructed to estimate the unmeasurable states. Coupling the state feedback...
This paper considers the problem of global stabilization for a class of nonlinear systems with time-varying powers. A new design method based on the technique of adding a power integrator and the interval homogeneous domination approach, which can be thought as an evolution of the homogeneous domination approach, is developed to explicitly construct a smooth state feedback globally stabilizing controller...
Smooth state feedback stabilization for a family of planar switched nonlinear systems is addressed. Based on the approach called adding a power integrator, the task of finding a common Lyapunov function and that of designing state stabilizing feedback laws for the switched nonlinear system whose subsystems may have uncontrollable/unobservable Jacobian linearization are solved simultaneously. Globally...
In this paper, by integrating the generalized homogeneity with monotone degrees (HWMD) with the top-bottom/bottom-top design strategy, we develop a new design procedure which enables us to explicitly construct global stabilizers for a class of feedforward systems. The proposed new control design strategy has several new features. First, a series of positive constant gains instead of positive function...
In order to discuss set stabilization of switched systems, a novel concept input-to-V (middot) stability which extends the definition of input-to-state stability is proposed, where the function V (middot) is a nonnegative function. Based on input-to-V (middot) stability, conditions under which a class of switched systems can be effectively stabilized to an invariant set by state feedback are proposed...
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