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Conference Proceedings
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5th International Conference on Physics and Control (PhysCon 2011)
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Inverse Problem of Anisotropy-Based Performance Analysis
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This paper addresses the inverse problem of anisotropy-based

performance analysis of linear discrete time-invariant system. The inverse problem consists in finding the maximum level of mean anisotropy of random input sequence corresponding to some given value of anisotropic norm of system. A unique solution is determined by solving a system of four cross-coupled nonlinear algebraic equations including Riccati, Lyapunov, and two scalar equations with respect to traces of symmetric matrices. A simple illustrative numerical example is considered.

performance analysis of linear discrete time-invariant system. The inverse problem consists in finding the maximum level of mean anisotropy of random input sequence corresponding to some given value of anisotropic norm of system. A unique solution is determined by solving a system of four cross-coupled nonlinear algebraic equations including Riccati, Lyapunov, and two scalar equations with respect to traces of symmetric matrices. A simple illustrative numerical example is considered.