Some Upper Matrix Bounds for the Solution of the Continuous Algebraic Riccati Matrix Equation | Zendy

Zübeyde Ulukök | Zendy; Ramazan Türkmen | Zendy

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Some Upper Matrix Bounds for the Solution of the Continuous Algebraic Riccati Matrix Equation

Author(s) -

Zübeyde Ulukök,

Ramazan Türkmen

Publication year - 2013

Publication title -

journal of applied mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.307

H-Index - 43

eISSN - 1687-0042

pISSN - 1110-757X

DOI - 10.1155/2013/792782

Subject(s) - algebraic riccati equation , riccati equation , mathematics , matrix (chemical analysis) , algebraic number , algebraic solution , algebraic equation , matrix difference equation , upper and lower bounds , mathematical analysis , differential equation , differential algebraic equation , ordinary differential equation , materials science , physics , nonlinear system , quantum mechanics , composite material

We propose diverse upper bounds for the solution matrix of the continuous algebraic Riccati matrix equation (CARE) by building the equivalent form of the CARE and using some matrix inequalities and linear algebraic techniques. Finally, numerical example is given to demonstrate the effectiveness of the obtained results in this work as compared with some existing results in the literature. These new bounds are less restrictive and provide more efficient results in some cases

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