摘要
讨论了LMI优化问题中的4个择一性定理,每种类型的择一性定理包含2个线性不等式和(或)等式系统,一个原始系统和一个对偶系统.弱择一性定理说明2系统中至多只有其一有解;基于凸集分离理论得到的强择一性定理说明2系统有且仅有其一有解.
Four alternative theorems for LMI optimization are discussed. Every typical alternative theorem is associated with two systems of linear inequalities and （ or ） equalities, a primal system and a dual one. The weak alternative theorems assert that two systems at most one of which has a solution. The strong alternative theorems are discussed by using separation theorem and assert that either the primal system has a solution, or the dual system has a solution, but never both.
出处
《高师理科学刊》
2008年第5期8-10,共3页
Journal of Science of Teachers＇College and University
基金
the nature science foundation of universities of Jiangsu province(07KJB110090)
the nature science foundation of Nantong University(07Z002)
Research on Higher Education of Nantong University(08GJ007,08GJ029)
