Abstract
A new class of weakly positive singular continuous-time systems has been introduced. It has been shown that the equations (1a) and (7) have the same solution (8). Necessary and sufficient conditions have been established (Theorem 2) under which a weakly positive singular system (1) can be reduced by the strict equivalence transformation (10), (12) to the positive standard system (15), (15). It has been shown that linear electrical circuits consisting of resistances, inductances (capacitances) and source voltages are examples of positive singular continuous-time linear systems and they can be reduced to positive standard systems.
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Kaczorek, T. (1999). Weakly positive continuous-time linear systems. In: Tzafestas, S.G., Schmidt, G. (eds) Progress in system and robot analysis and control design. Lecture Notes in Control and Information Sciences, vol 243. Springer, London. https://doi.org/10.1007/BFb0110529
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DOI: https://doi.org/10.1007/BFb0110529
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