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Weakly positive continuous-time linear systems

Kaczorek T.

Bulletin of the Polish Academy of Sciences. Technical Sciences

1998

Vol. 46, nr 2

233-245

A new class of weakly positive singular continuous-time linear is introduced. A standard system which is equivalent (has the same solution) to the singular (regular) continuous-time linear system is derived. Necessary and sufficient conditions are established under which a weakly positive singular continuous-time system can be transformed by the strict equivalence to a positive system. Some properties of weakly positive continuous-time linear systems are characterised. It is shown that linear electrical circuits consisting of resistances, inductances (capacitances) and source volt ages are examples of positive singular continuous-time linear systems.