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In this paper, the performance analysis and control design problem are considered for a linear time-varying(LTV) system with non-zero initials and energy bounded external disturbance in a finite-time horizon. A finite-time performance index is proposed to be used as a performance metric of such a class of systems which are not required to be stable and with zero initials in the worst-case. The properties...
The problem of global stability and stabilization of polynomial systems is considered. Using semi-tensor product of matrices, an easily verifiable sufficient condition for the positivity of multi-variable polynomials is proposed. Assume a candidate of Lyapunov function is a polynomial, the above result provides a sufficient condition for the global stability of a polynomial system. The computation...
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