Title :
Some controllability questions of linear and nonlinear neutral functional differential equations in W2(1)
Author_Institution :
Dept. of Math., North Carolina State Univ., Raleigh, NC, USA
Abstract :
Sharp, easy to test conditions for exact controllability of nonlinear systems of neutral type in the state space W2 (1) are formulated. W2(1) is the Sobolev space of absolutely continuous functions x whose time derivatives are square integrable on the interval [-h,0]. Also explored are conditions which guarantee that a null-controllable system is also exactly controllable. Criteria for null controllability of linear systems are given
Keywords :
controllability; differential equations; functional equations; nonlinear systems; state-space methods; Sobolev space; absolutely continuous functions; exact controllability; neutral functional differential equations; nonlinear systems; null controllability criteria; null-controllable system; square integrable time derivatives; state space W2(1); Control systems; Controllability; Differential equations; Ear; Hilbert space; Linear systems; Mathematics; Nonlinear systems; State-space methods; System testing;
Conference_Titel :
Decision and Control, 1989., Proceedings of the 28th IEEE Conference on
Conference_Location :
Tampa, FL
DOI :
10.1109/CDC.1989.70387
