This paper presents a Newton-like algorithm for solving systems of rank constrained linear matrix inequalities. Though local quadratic convergence of the algorithm is not a priori guaranteed or observed in all cases, numerical experiments, including application to an output feedback stabilization problem, show the effectiveness of the algorithm.
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Banaras Hindu Univ, Dept Math, Fac Sci, Varanasi 221005, Uttar Pradesh, IndiaBanaras Hindu Univ, Dept Math, Fac Sci, Varanasi 221005, Uttar Pradesh, India
Sahu, D. R.
Singh, K. K.
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Banaras Hindu Univ, Dept Math, Fac Sci, Varanasi 221005, Uttar Pradesh, IndiaBanaras Hindu Univ, Dept Math, Fac Sci, Varanasi 221005, Uttar Pradesh, India
Singh, K. K.
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Singh, V. K.
Cho, Y. J.
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Gyeongsang Natl Univ, Dept Math Educ, Jinju 660701, South Korea
Gyeongsang Natl Univ, RINS, Jinju 660701, South Korea
King Abdulaziz Univ, Dept Math, Jeddah 21589, Saudi ArabiaBanaras Hindu Univ, Dept Math, Fac Sci, Varanasi 221005, Uttar Pradesh, India
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Inner Mongolia Univ, Coll Math Sci, Hohhot 010021, Peoples R China
Inner Mongolia Normal Univ, Coll Math Sci, Hohhot 010022, Peoples R ChinaInner Mongolia Univ, Coll Math Sci, Hohhot 010021, Peoples R China
Saheya, B.
Chen, Guo-qing
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Inner Mongolia Univ, Coll Math Sci, Hohhot 010021, Peoples R ChinaInner Mongolia Univ, Coll Math Sci, Hohhot 010021, Peoples R China
Chen, Guo-qing
Sui, Yun-kang
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Beijing Univ Technol, Coll Mech Engn & Appl Elect Technol, Beijing 100124, Peoples R ChinaInner Mongolia Univ, Coll Math Sci, Hohhot 010021, Peoples R China
Sui, Yun-kang
Wu, Cai-ying
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Inner Mongolia Univ, Coll Math Sci, Hohhot 010021, Peoples R ChinaInner Mongolia Univ, Coll Math Sci, Hohhot 010021, Peoples R China