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This paper presents the asymptotical stabilization problem of linear singular fractional-order systems. The results are obtained in terms of linear matrix inequalities, which are derived using the decomposition on the matrices of the original system. An illustrative example is provided to illustrate the proposed results.
The behavior of stability regions of nonlinear dynamical systems subjected to parameter variation is studied in this paper. Sufficient conditions to guarantee the persistence of the stability boundary characterization under parameter variation are presented. When these conditions are violated, the stability region may undergo a bifurcation and may suffer drastic changes. In this paper, the behavior...
In this paper, planar continuous piecewise linear (PCPWL) systems composed of more than two linear subsystems are investigated. Instead of using Lyapunov method, we study the behavior of the PCPWL system directly to give the stability analysis. When there exist eigenvectors for the PCPWL system, the subsystem stability ensures the global stability. If there are no eigenvectors, the one-circle-gain...
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