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This paper deals with the problem of asymptotic stability for delayed genetic regulatory networks with reaction--diffusion terms. For three types of boundary conditions, delay-dependent criteria are established by the Lyapunov--Krasovskii functional approach, respectively. The obtained results are expressed in terms of linear matrix inequalities. Numerical examples illustrating the effectiveness of...
This paper considers the problem of structural stability of 2-D singular systems. Necessary and sufficient conditions for the structural stability for 2-D singular systems are presented.
This paper introduces a new concept called the jump mode reconstructability for 2-D acceptable singular Roesser models. It is shown that there exists a regular state observer for a 2-D acceptable singular Roesser model if the system is detectable and jump mode reconstructable. The sufficient and necessary conditions are also presented for the jump mode reconstructability.
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