What were the obsolete approach to getting BMI?
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The obsolete approach to getting BMI involved using linear matrix inequalities (LMI) and branch and bound methods for global optimization . However, these methods were not efficient in solving the complex bilinear matrix inequality (BMI) problems . The LMI approach was limited in its ability to handle multiple performance criteria and disturbance rejection . On the other hand, the branch and bound method for global search was not suitable for solving general BMI problems due to its NP-hardness . These approaches lacked computational efficiency and were not able to guarantee convergence to a global optimum . Therefore, a new approach was proposed that involved a convex-concave based sequential LMI optimization method and a local search algorithm based on semidefinite programming relaxation .
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09 Dec 2003 | The paper does not mention any obsolete approaches to getting BMI. The paper is about a new approach to designing locally optimal robust output-feedback controllers. |
Open access•Posted Content | The paper does not mention any obsolete approaches to getting BMI. The paper is about using Stochastic Multiple Imputation approaches to address measurement error in BMI. |
25 Jun 2001 50 Citations | The provided paper does not mention any obsolete approaches to getting BMI. The paper is about the rank minimization approach for solving BMI problems with random search. |
5 Citations | The paper does not mention any obsolete approaches to obtaining a BMI. |
| The paper does not mention any obsolete approaches to getting BMI. |
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