Title :
A Necessary and Sufficient Condition for Quadratic Stability of a Matrix Polytope
Author :
Kokame, Hlideki ; Mori, Takehiro
Author_Institution :
Department of Electrical Engineering, Osaka Institute of Technology, Ohmiya, Asahi-ku, Osaka 535, JAPAN
Abstract :
The problem of the quadratic stability of uncertain systems is studied within the class of symmetric matrices. The present paper shows that this generalization does not produce any problem under quite a reasonable condition. Some results along this line are presented. One of them shows that the stability test for the case of a matrix polytope becomes simple enough so that it can be formulated in a standard form of optimization problem.
Keywords :
Constraint theory; Information science; Linear systems; Lyapunov method; Stability criteria; Sufficient conditions; Symmetric matrices; Testing; Uncertain systems; Uncertainty;
Conference_Titel :
American Control Conference, 1991
Conference_Location :
Boston, MA, USA
Print_ISBN :
0-87942-565-2
