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— The max-plus linear systems have been studied for almost three decades, however, a well-established system theory on such specific systems is still an ongoing research. The geometric control theory in particular was proposed as the future direction for max-plus linear systems by Cohen et al. This paper reports upon recent investigations on the disturbance… (More)
In this paper, the molecule 12-amidine dodecanoic acid (M) with ending groups of carboxyl and amidine groups respectively was designed and synthesized as CO 2-responsive guest molecules. The block copolymer polystyrene-b-polyethylene oxide (PS-b-PEO) was chosen as the host polymer to fabricate a composite membrane through H-bonding assembly with guest… (More)
This study reports the supramolecular assembly of a silver nanoparticle-naphthalene-1-sulphonic acid-reduced graphene oxide composite (Ag-NA-rGO) and its utilization to fabricate a highly sensitive and selective gas sensor. The prepared supramolecular assembly acted not only as a non-covalent functionalization platform (π-π interaction) but was also an… (More)
— This paper presents an integrated control strategy solving disturbance decoupling of max-plus linear systems. The classical disturbance decoupling problem (DDP) in geometric control theory means that the controlled outputs will not be changed by any disturbances. The DDP problem has no practical meaning in the context of Max-plus system, since the… (More)
We propose a random search algorithm to resolve the problem of packing circles into a rectangular container. With our method, all the circles are put into a large space randomly, and then by introducing the bow shift area, the searching space can be reduced and the local optimal solution can be list. By moving, turning and other disturbance methods, it will… (More)
— This paper presents a computational method for the maximal robust controlled invariant set(MRCIS) of a class of uncertain switched systems, whose system matrices are unknown but are convex combinations of known matrices. A recursive algorithm is given to compute the MRCIS. It is also shown that the MRCIS can be obtained from the MRCIS of all subsystems.
— This paper presents a sufficient condition to solve the observation problem in tropical linear event-invariant dynamical systems, where a linear functional of the states can be observed in a finite number of steps using only the information from inputs and outputs. Using the residuation theory, this solvability condition can be easily implemented in… (More)