Less conservative results for the exponential stability of uncertain time-delay systems
The eigenvalue derivatives of linear damped systems
The existence of limit cycle for perturbed bilinear systems
In this paper, the feedback control for a class of bilinear control systems with a small parameter is proposed to guarantee the existence of limit cycle. We use the perturbation method of seeking in approximate solution as a finite Taylor expansion of the exact solution. This perturbation method is to exploit the “smallness” of the perturbation parameter to construct an approximate periodic solution. Furthermore, some simulation results are given to illustrate the existence of a limit cycle for...
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