Title :
Robust stabilization of time-varying discrete interval systems
Author :
Mota, Francisco ; Kaszkurewicz, Eugenius ; Haya, Amit B.
Author_Institution :
Dept. of Electr. Eng., Federal Univ., Rio de Janeiro, Brazil
Abstract :
A sufficient condition given by P.H. Bauer and K. Premaratne (1990) for the robust stability of time-varying discrete interval systems is rederived using a diagonal Lyapunov function. This allows extension of the stability condition to a class of nonlinear time-varying systems. When the result is applied to the robust stabilization of time-varying discrete interval systems, it permits the relaxation of a nonnegativity constraint required by the time-invariant result reported by B. Shafai and C.V. Hollot (1991); greater flexibility in the choice of feedback gains is therefore allowed. A natural analog of D-stability called Hadamard stability is introduced and characterized
Keywords :
Lyapunov methods; discrete time systems; feedback; nonlinear control systems; stability; D-stability; Hadamard stability; diagonal Lyapunov function; feedback gains; nonlinear time-varying systems; nonnegativity constraint; robust stabilization; time-varying discrete interval systems; Context modeling; Feedback; Lyapunov method; Parallel processing; Robust control; Robust stability; Robustness; Sufficient conditions; Time varying systems; Uncertain systems;
Conference_Titel :
Decision and Control, 1992., Proceedings of the 31st IEEE Conference on
Conference_Location :
Tucson, AZ
Print_ISBN :
0-7803-0872-7
DOI :
10.1109/CDC.1992.371725
