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Stability of the uncertain nonlinear systems with delay

Author: SongJing
Tutor: ZhongShouMing
School: University of Electronic Science and Technology
Course: Applied Mathematics
Keywords: Riccati equation Uncertain nonlinear systems Lyapunov functional BIBO stability
CLC: TP13
Type: Master's thesis
Year: 2008
Downloads: 69
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Abstract


Been extensively studied in a variety of engineering systems , biological systems , economic systems , electronic systems , neural networks , power systems and other systems , the problem of robust stability and BIBO stability of uncertain systems with time delays . Recently , the robust stability of uncertain delay nonlinear systems analysis and BIBO stability has attracted the attention of a growing number of researchers . Of this thesis is the BIBO stability problem for the robust stability analysis and nonlinear systems with a specific model for the main object of study by using the Lyapunov functional and some inequality analysis method , given the uncertainty with delay the nonlinear system meets the robust stability and BIBO stability conditions . The main content : 1 . Uncertain nonlinear systems with time delay by using Lyapunov functional and Riccati equation system meets the robust stability conditions ( the index stability ) of . Study through the use of some inequality analysis method for uncertain nonlinear systems with time delays , the draw of the system to meet the exponential stability of a class of other conditions . 3 uncertain nonlinear systems with delay by using Lyapunov functional and Riccati equation system meets the conditions of BIBO stability . Another class of uncertain nonlinear systems through the use of linear matrix inequalities with delay , come to the system to meet the BIBO stability conditions .

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