For a class of linear discrete-time systems whose states can not be measured directly, an approach to designing the constrained controller based on state estimation was proposed. By constructing a proper linear state ...For a class of linear discrete-time systems whose states can not be measured directly, an approach to designing the constrained controller based on state estimation was proposed. By constructing a proper linear state observer for the controlled system, the sufficient condition to convergence of the state error was derived. Under a simple assumption on the initial state error, we presented an LMI-based method to design the constrained feedback gain and the observer gain. An example was used to illustrate our results.展开更多
The original Erdos-Ko-Rado problem has inspired much research. It started as a study on sets of pairwise intersecting k-subsets in an n-set, then it gave rise to research on sets of pairwise non-trivially intersecting...The original Erdos-Ko-Rado problem has inspired much research. It started as a study on sets of pairwise intersecting k-subsets in an n-set, then it gave rise to research on sets of pairwise non-trivially intersecting k-dimensional vector spaces in the vector space V（n, q） of dimension n over the finite field of order q, and then research on sets of pairwise non-trivially intersecting generators and planes in finite classical polar spaces. We summarize the main results on the Erdos-Ko-Rado problem in these three settings, mention the ErdSs-Ko-Rado problem in other related settings, and mention open problems for future research.展开更多
文摘For a class of linear discrete-time systems whose states can not be measured directly, an approach to designing the constrained controller based on state estimation was proposed. By constructing a proper linear state observer for the controlled system, the sufficient condition to convergence of the state error was derived. Under a simple assumption on the initial state error, we presented an LMI-based method to design the constrained feedback gain and the observer gain. An example was used to illustrate our results.
基金supported by FWO-Vlaanderen(Research Foundation-Flanders)
文摘The original Erdos-Ko-Rado problem has inspired much research. It started as a study on sets of pairwise intersecting k-subsets in an n-set, then it gave rise to research on sets of pairwise non-trivially intersecting k-dimensional vector spaces in the vector space V（n, q） of dimension n over the finite field of order q, and then research on sets of pairwise non-trivially intersecting generators and planes in finite classical polar spaces. We summarize the main results on the Erdos-Ko-Rado problem in these three settings, mention the ErdSs-Ko-Rado problem in other related settings, and mention open problems for future research.
