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H. Banks, G. Kent (1972)
Control of Functional Differential Equations of Retarded and Neutral Type to Target Sets in Function SpaceSiam Journal on Control, 10
G. Knowles (1976)
Time Optimal Control of Infinite-Dimensional SystemsSiam Journal on Control and Optimization, 14
S. Lang (1964)
Introduction to Differentiable Manifolds
H. Hermes (1979)
Controllability of nonlinear delay differential equationsNonlinear Analysis-theory Methods & Applications, 3
H. Fattorini (1975)
Local controllability of a nonlinear wave equationMath Systems Theory, 9
Hernan Rodas, C. Langenhop (1978)
A Sufficient Condition for Function Space Controllability of a Linear Neutral SystemSiam Journal on Control and Optimization, 16
M. Jacobs, C. Langenhop (1976)
Criteria for Function Space Controllability of Linear Neutral SystemsSiam Journal on Control and Optimization, 14
R. Hermann, A. Krener (1977)
Nonlinear controllability and observabilityIEEE Transactions on Automatic Control, 22
H. Hermes (1974)
On Local and Global ControllabilitySiam Journal on Control, 12
J. Lagnese (1977)
Boundary Value Control of a Class of Hyperbolic Equations in a General RegionSiam Journal on Control and Optimization, 15
D. Russell (1973)
A Unified Boundary Controllability Theory for Hyperbolic and Parabolic Partial Differential EquationsStudies in Applied Mathematics, 52
LetA, ℬ be evolution operators (possibly nonlinear) which act within a Banach spaceB andu(·) a measurable, real valued, control function. We study control systems of the form ∂υ t /∂t=A υ t +u(t)ℬυ t , υ0=ϕ ∈B. An observation of this system is defined to be a continuous linear mapg:B→ℝ k . Our main result gives a computable sufficient condition to assure that fort > 0 and sufficiently small, the observation of the reference solution (which corresponds tou(t)≡0) at timet is interior to the set of observations of all solutions at timet. An example to illustrate the theory is the local controllability, via tension, of various observations of a vibrating string.
Applied Mathematics and Optimization – Springer Journals
Published: Mar 23, 2005
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