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The matrix inequality means that (mathbb {E}left [left (hat {boldsymbol {h}}-boldsymbol {h}right)left (hat {boldsymbol {h}}-boldsymbol {h}right)^{H}right ]-boldsymbol {J}^{-1}) is positive semidefinite.
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The proposed decoupled observer-based controller synthesis condition is cast into linear matrix inequalities by means of the cone complementary linearization approach.
A sufficient condition on the existence of PI controller is presented and proved by means of linear matrix inequality techniques.
The system stability is analyzed by means of linear matrix inequality conditions based on non-quadratic Lyapunov functions.
The condition can be solved by means of linear matrix inequality relaxations with slack variables and Lyapunov matrices which are considered as homogeneous polynomials of arbitrary degree.
By means of linear matrix inequality (LMI) techniques, both design algorithms of state-feedback controller and static output-feedback controller are developed.
Last the stability analysis is given by means of linear matrix inequality (LMI) approach, thus the control system is guaranteed to be stable within a large range.
A sufficient condition for the existence of an event-triggering condition and the corresponding even-triggered controller design are obtained by means of linear matrix inequality techniques.
Then, co-design algorithm for the parameters of filter and event-triggered condition is presented by means of linear matrix inequality approach.
Last the stability analysis is given by means of linear matrix inequality (LMI) approach, and the control system is guaranteed to be stable within a large range.
Fuzzy-model-based H∞ control is designed by means of linear matrix inequality (LMI) methods as derived from the Lyapunov theory.
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