Title :
Solvability of passivity equation for nonlinear systems
Author :
Shishkin, Serge L. ; Fradkov, Alexander L.
Author_Institution :
Dept. of Electr. Eng., Texas Tech. Univ., Lubbock, TX, USA
Abstract :
The passivity equation is the main necessary condition of passivity and dissipativity of nonlinear control system. The paper presents necessary and sufficient conditions of its solvability with respect to some nonnegative storage function. These results can be a basis for further investigations on passivity of control systems. Furthermore, they have applications in adaptive control
Keywords :
adaptive control; computability; feedback; matrix algebra; nonlinear control systems; adaptive control; dissipativity; feedback; matrix algebra; necessary condition; nonlinear control systems; nonnegative storage function; passivity equation; solvability; sufficient condition; Computational intelligence; Control systems; Differential equations; Ear; Mechanical engineering; Nonlinear control systems; Nonlinear equations; Nonlinear systems;
Conference_Titel :
American Control Conference, 1997. Proceedings of the 1997
Conference_Location :
Albuquerque, NM
Print_ISBN :
0-7803-3832-4
DOI :
10.1109/ACC.1997.609261
