Title :
On solvability and numerical solutions of parameter-dependent differential matrix inequality
Author :
Ohara, Atsumi ; Sasaki, Yasuaki
Author_Institution :
Dept. of Syst. Sci., Osaka Univ., Japan
Abstract :
This paper considers the solvability condition and numerical algorithm for parameter-dependent differential affine matrix inequality. When the coefficient and solution matrices are assumed to be in a trigonometric polynomial form of the fixed order, the necessary and sufficient solvability condition is given in terms of linear matrix inequalities. The result is based on a simple idea making use of the positive real lemma to preserve positivity on an interval. Multidimensional parameter cases are also discussed
Keywords :
computability; differential equations; eigenvalues and eigenfunctions; mathematics computing; matrix algebra; differential matrix inequality; eigenvalues; linear matrix inequality; multidimensional parameter; necessary condition; positive real lemma; positivity; solvability; sufficient condition; trigonometric polynomial form; Computational efficiency; Control systems; Control theory; Gain; Linear matrix inequalities; Polynomials; Robust stability; Spline; Stability analysis; Sufficient conditions;
Conference_Titel :
Decision and Control, 2001. Proceedings of the 40th IEEE Conference on
Conference_Location :
Orlando, FL
Print_ISBN :
0-7803-7061-9
DOI :
10.1109/.2001.980417
