A geometric approach to reachability computations for contrained discrete time systems.
Kerrigan E. C. and Lygeros J. and Maciejowski J. M.
Proc. 15th IFAC World Congress on Automatic Control, July 2002Abstract
The problem of reachability computations for systems with simultaneous constraints on the states, control inputs and disturbances is treated. A problem formulation is provided for the general case and, for the special case where the disturbance constraints are independent of the states and inputs, it is discussed how the solution can be approached using standard geometric concepts. It is also discussed how the procedure can be implemented for a class of piecewise affine systems with polyhedral constraints using computational geometry software.
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BibTex Entry
- @InProceedings{kerrigan:lygeros:maciejowski:2002,
- author = {Kerrigan E. C. and Lygeros J. and Maciejowski J. M.},
- title = {A geometric approach to reachability computations for contrained discrete time systems. },
- address = {Barcelona, Spain},
- booktitle = {Proc. 15th IFAC World Congress on Automatic Control},
- bibkey = {kerrigan:lygeros:maciejowski:2002},
- month = {July},
- year = {2002}
- }
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