LMI-Based Stability Criterions for Uncertain Systems with Multiple Time Delays Employing Saturation Nonlinearities

Key words: 
• diagonally dominance，multiple delay，robust stability，linear matrix inequalities /
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Abstract: According to Lyapunov stability function difference method ,by constructing diagonally dominant matrix ,and using the linear matrix inequality (LMI) technique to complete the linearization of the nonlin‐ear terms of the stability analysis ,this paper proposes LMI‐based sufficient conditions for robust stability of uncertain discrete nonlinear system with multiple time delays employing saturation nonlinearities ,the criteria contained fewer variables .Finally ,numerical examples verify the correctness and effectiveness of the theorem .