Matrix Approximation Techniques for Symbolic Extraction of Poles and Zeros
Analog Integrated Circuits and Signal Processing
Control Systems Engineering
Interval Analysis of Linear Analog Circuits
SCAN '06 Proceedings of the 12th GAMM - IMACS International Symposium on Scientific Computing, Computer Arithmetic and Validated Numerics
IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems
SAPWIN-a symbolic simulator as a support in electrical engineeringeducation
IEEE Transactions on Education
Canonical symbolic analysis of large analog circuits with determinant decision diagrams
IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems
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A correlation-first bisection method is proposed for analyzing the robust stability distribution of linear analog circuits in the multi-parameter space. This new method first transfers the complex multi-parameter robust stability problem into nonlinear inequalities by the Routh criterion, and then solves them by interval arithmetic and new bisection strategy. The axis with strong relationship to the functions dominating the stability is bisected. Furthermore, the Monte Carlo method is adopted for the uncertain subdomains to increase the convergence speed of bisection methods as the cube number increases. The proposed method has no error in both stable and unstable areas, and high efficiency to determine the complex boundaries between the stable and unstable areas. Numerical results validate this new method.