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A discontinuous control law is proposed to achieve global asymptotic stabilization for oscillators with bounded delayed input. Only the “position” signal is used to generate the piecewise constant control signal. The asymptotic stability is analyzed by Poincaré Map method and conditions are proposed. The effectiveness of this control law is verified by simulation studies.
Exponential stability analysis and L2-gain analysis are developed for uncertain distributed parameter systems. Scalar heat processes and distributed mechanical oscillators, governed by semilinear partial differential equations of parabolic and, respectively, hyperbolic types, are chosen for treatment. Sufficient exponential stability conditions with a given decay rate are derived in the form of linear...
We present a linear matrix inequality (LMI) for testing the stability of a 2-D system described by the Fornasini-Marchesini first model. The test is based on the properties of sum-of-squares polynomials with matrix coefficients. Although the test implements a sufficient condition, extensive experiments suggest that the gap to necessity is very small. We also derive an LMI describing stability conditions...
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