首页|Externally and Internally Positive Singular Discrete-Time Linear Systems

Externally and Internally Positive Singular Discrete-Time Linear Systems

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Notions of the externally and internally positive singular discrete-time linear systems are introduced. It is shown that a singular discrete-time linear system is externally positive if and only if its impulse response matrix is nonnegative. Sufficient conditions are established under which a single-output singular discrete-time system with matrices in canonical forms is internally positive. It is shown that if the singular positive system is weakly positive (all matrices E,A,B,C are nonnegative) then it is not internally positive.

singulardiscrete time linear systemspositive

TADEUSZ KACZOREK

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Institute of Control and Industrial Electronics Warsaw Technical University, Faculty of Electrical Engineering 00-662 Warszawa, Koszykowa 75, POLAND

2002

Journal of applied systems studies: Methodologies and applications for systems approaches

Journal of applied systems studies: Methodologies and applications for systems approaches

ISSN：1466-7738
年,卷(期)：2002.3(3)