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A delay-dependent linear matrix inequality (LMI) criterion for existence of the estimator is derived.
However, mathematical criterion for existence of solution has not been fully developed.
A delay-dependent linear matrix inequality (LMI) criterion for existence of the estimator is proposed by using the Lyapunov method.
A delay-dependent linear matrix inequality (LMI) criterion for existence of the estimator is proposed by using Lyapunov method.
For this end, a dynamic controller is proposed for the first time and a criterion for existence of the controller is given in terms of LMIs.
A criterion for existence of the controller is given in terms of linear matrix inequality (LMI), which can be easily solved by a convex optimization problem.
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First, criteria for existence of stable core flow are proposed, which show the essential role played by interfacial tension.
Based on the Lyapunov second method, two stability criteria for existence of the controller are derived in terms of matrix inequalities.
Criteria for existence of solutions are given (1) in terms of positivity of a certain kernel completely determined by the data, or, more generally, (2) by the existence of a positive-kernel solution of a certain generalized Stein equation completely determined by the data.
We study criteria for existence of their solutions.
Using this framework, we study criteria for existence of their solutions.
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