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Stability and stabilization conditions with less conservative are achieved in terms of linear matrix inequality (LMI).
By constructing a new parameter-dependent Lyapunov Krasovskii function and introducing some free weighting matrices, some novel delay-dependent stability and stabilization conditions are obtained.
An important feature of the results proposed here is that all the robust stability and stabilization conditions are dependent on the upper bound of the delays.
Some sufficient conditions for stochastic stability and stabilization conditions with a mode-dependent fuzzy controller are derived for the Markovian jump fuzzy systems in terms of linear matrix inequalities (LMIs).
The resulting stability and stabilization conditions are stated as infinite-dimensional linear programs for which three asymptotically exact computational methods are proposed and compared with each other on numerical examples.
By constructing a new Lyapunov Krasovskii functional and introducing some appropriate slack matrices, new delay-dependent stochastic stability and stabilization conditions are proposed by means of linear matrix inequalities (LMIs).
This paper deals with ultimate bounded stability analysis and stabilization conditions for systems involving input saturation and quantized control law, which corresponds to the state quantization case.
Unlike some previous approaches based on multiple Lyapunov functions, both the stability and the stabilization conditions are written as linear matrix inequality (LMI) problems.
New delay-range-dependent stability criteria and stabilization conditions are derived in terms of linear matrix inequalities (LMIs), which depend on not only the difference between the upper and lower delay bounds but also the upper delay bound of the interval time-varying delay.
Local and global stabilization conditions ensuring both external as well as internal stability of the closed-loop system are derived directly as linear matrix inequalities (LMIs).
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Both the D-stability and D-stabilization conditions are proposed in terms of linear matrix inequalities.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com