Title :
Controllability of semilinear systems with delays in control
Author_Institution :
Inst. of Autom., Tech. Univ., Gliwice, Poland
Abstract :
The relative controllability of a semilinear infinite delay dynamical system with time varying multiple lumped delays in control and state variables is considered. Using Schauder´s fixed point theorem a sufficient condition for relative controllability in a given time interval is formulated and proved. Namely, if the linear part of the system is asymptotically stable and relatively controllable, then the semilinear system is also relative controllable
Keywords :
asymptotic stability; controllability; delays; nonlinear dynamical systems; time-varying systems; asymptotic stability; control; fixed point theorem; relative controllability; semilinear infinite delay dynamical system; state variables; time interval; time varying multiple lumped delays; Control systems; Controllability; Delay effects; Delay systems; Equations; Linear matrix inequalities; Nonlinear control systems; Nonlinear dynamical systems; Sufficient conditions; Time varying systems;
Conference_Titel :
Systems, Man, and Cybernetics, 1999. IEEE SMC '99 Conference Proceedings. 1999 IEEE International Conference on
Conference_Location :
Tokyo
Print_ISBN :
0-7803-5731-0
DOI :
10.1109/ICSMC.1999.814055
