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Furthermore, state observers and bilinear matrix inequality conditions are removed in this paper.
Using matrix inequality conditions on the terminal weighting matrix, the closed-loop system stability is guaranteed.
The system stability is analyzed by means of linear matrix inequality conditions based on non-quadratic Lyapunov functions.
By defining a parameter-dependent Lyapunov functional, matrix inequality conditions with reduced conservatism are obtained for the design of controllers.
Linear matrix inequality conditions implying interior conic bounds are developed for stable linear time-invariant systems with unknown input delay.
These positive realness conditions are transformed into linear matrix inequality conditions in terms of a state-space realization of the subsystem dynamics, a Lyapunov matrix, and multipliers.
Similar(20)
We derive a linear matrix inequality condition which characterizes a relationship between Runge-Kutta coefficients and the corresponding stability region.
The stability and convergence of the proposed scheme are proved using Schwarz׳s inequality condition and Frobenius norms.
Robustness against unstructured model uncertainty is obtained by choosing the cost function parameters so as to satisfy a linear matrix inequality condition.
Comparing with the existing results, the derived inequality condition leads to the fault tolerance ability stronger and much wider scope of applicability.
Since it is proved to be NP-complete, an approximation algorithm is proposed to obtain a suboptimal solution, which is a 2-approximation algorithm under a quadrangle inequality condition.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com