Tanaka discussed a discounted Markov decision programming with a vector constraint. His paper transformed a constrained optimization problem into a Lagrange programming problem. But the paper has not solved the existe...Tanaka discussed a discounted Markov decision programming with a vector constraint. His paper transformed a constrained optimization problem into a Lagrange programming problem. But the paper has not solved the existence problem of constrained optimal strategy and has not given an efficient algorithm. Hu discussed a discounted semi-Markov decision programming with a real valued constrain. Under certain conditions he showed that there exists a mixed stationary strategy which is constrained optimal strategy, and gave an algorithm. Liu et al.gave an algorithm for finding the constrained optimal strategy in the class of Markov strategy and the class of stationary strategy.展开更多
Some remarks are made on the use of the Abadie constraint qualification, the Guignard constraint qualifications and the Guignard regularity condition in obtaining weak and strong Kuhn-Tucker type optimality conditions...Some remarks are made on the use of the Abadie constraint qualification, the Guignard constraint qualifications and the Guignard regularity condition in obtaining weak and strong Kuhn-Tucker type optimality conditions in differentiable vector optimization problems.展开更多
This paper examines the direction of arrival(DOA)estimation for polarized signals impinging on a sparse vector sensor array which is based on the maximum interelement spacing constraint(MISC).The vector array effectiv...This paper examines the direction of arrival(DOA)estimation for polarized signals impinging on a sparse vector sensor array which is based on the maximum interelement spacing constraint(MISC).The vector array effectively utilizes the polarization domain information of incident signals,and the quaternion model is adopted for signals polarization characteristic maintenance and computational burden reduction.The features of MISC arrays are crucial to the mutual coupling effects reduction and higher degrees of freedom(DOFs).The quaternion data model based on vector MISC arrays is established,which extends the scalar MISC array into the vector MISC array.Based on the model,a quaternion multiple signal classification(MUSIC)algorithm based on vector MISC arrays is proposed for DOA estimation.The algorithm combines the advantages of the quaternion model and the vector MISC array to enhance the DOA estimation performance.Analytical simulations are performed to certify the capability of the algorithm.展开更多
This paper considered the optimal control problem for distributed parameter systems with mixed phase-control constraints and end-point constraints. Pontryagin's maximum principle for optimal control are derived vi...This paper considered the optimal control problem for distributed parameter systems with mixed phase-control constraints and end-point constraints. Pontryagin's maximum principle for optimal control are derived via Duboviskij-Milujin theorem.展开更多
基金a grant from Hong Kong University of Science and TechnologyNational Natural Science Foundation of ChinaYouth Foundation of Yunnan Province, China
文摘Tanaka discussed a discounted Markov decision programming with a vector constraint. His paper transformed a constrained optimization problem into a Lagrange programming problem. But the paper has not solved the existence problem of constrained optimal strategy and has not given an efficient algorithm. Hu discussed a discounted semi-Markov decision programming with a real valued constrain. Under certain conditions he showed that there exists a mixed stationary strategy which is constrained optimal strategy, and gave an algorithm. Liu et al.gave an algorithm for finding the constrained optimal strategy in the class of Markov strategy and the class of stationary strategy.
文摘Some remarks are made on the use of the Abadie constraint qualification, the Guignard constraint qualifications and the Guignard regularity condition in obtaining weak and strong Kuhn-Tucker type optimality conditions in differentiable vector optimization problems.
基金supported by the National Natural Science Foundation of China(62031015).
文摘This paper examines the direction of arrival(DOA)estimation for polarized signals impinging on a sparse vector sensor array which is based on the maximum interelement spacing constraint(MISC).The vector array effectively utilizes the polarization domain information of incident signals,and the quaternion model is adopted for signals polarization characteristic maintenance and computational burden reduction.The features of MISC arrays are crucial to the mutual coupling effects reduction and higher degrees of freedom(DOFs).The quaternion data model based on vector MISC arrays is established,which extends the scalar MISC array into the vector MISC array.Based on the model,a quaternion multiple signal classification(MUSIC)algorithm based on vector MISC arrays is proposed for DOA estimation.The algorithm combines the advantages of the quaternion model and the vector MISC array to enhance the DOA estimation performance.Analytical simulations are performed to certify the capability of the algorithm.
文摘This paper considered the optimal control problem for distributed parameter systems with mixed phase-control constraints and end-point constraints. Pontryagin's maximum principle for optimal control are derived via Duboviskij-Milujin theorem.
