Due to low parameter sensitivity for balanced realiza- tions, balanced structure becomes a good candidate for an statespace adaptive infinite impluse response （IIR） filter. Here, using coefficients of the transfer f...Due to low parameter sensitivity for balanced realiza- tions, balanced structure becomes a good candidate for an statespace adaptive infinite impluse response （IIR） filter. Here, using coefficients of the transfer function as the adaptive filtering parameters, a balanced adaptive IIR filtering algorithm is proposed for output-error minimization. The algorithm in the internally balanced realization guarantees that the adaptive IIR filter always minimizes the ratio of maximum-to-minimum eigenvalue of the Grammian matrices at the each iteration. Simulation results are provided to corroborate the proposed algorithm.展开更多
In this paper, a class of time optimal problem with impluse control is considered. Under certain conditions we prove that the optimal impluse control exists and its impluse number is finite. Moreover, it is proved tha...In this paper, a class of time optimal problem with impluse control is considered. Under certain conditions we prove that the optimal impluse control exists and its impluse number is finite. Moreover, it is proved that the minimum time function is locally Lipschitz continuous in its domain and is the unique viscosity solution of the corresponding Hamilton-Jacobi-Bellman system.展开更多
基金supported by the National Natural Science Foundation of China(61201321)the Basic Research Foundation of Northwestern Polytechnical University(JC20100217)
文摘Due to low parameter sensitivity for balanced realiza- tions, balanced structure becomes a good candidate for an statespace adaptive infinite impluse response （IIR） filter. Here, using coefficients of the transfer function as the adaptive filtering parameters, a balanced adaptive IIR filtering algorithm is proposed for output-error minimization. The algorithm in the internally balanced realization guarantees that the adaptive IIR filter always minimizes the ratio of maximum-to-minimum eigenvalue of the Grammian matrices at the each iteration. Simulation results are provided to corroborate the proposed algorithm.
文摘In this paper, a class of time optimal problem with impluse control is considered. Under certain conditions we prove that the optimal impluse control exists and its impluse number is finite. Moreover, it is proved that the minimum time function is locally Lipschitz continuous in its domain and is the unique viscosity solution of the corresponding Hamilton-Jacobi-Bellman system.
