Observability criteria of linear discrete-continuous system. (English) Zbl 1172.93010

Agranovich, Grigory

Funct. Differ. Equ. 16, No. 1, 35-51 (2009).

Summary: The linear discrete-continuous system studied here contains two coupled subsystems: one with continuous-time dynamics. Continuous-time dynamics are described by ordinary linear differential equations, whereas discrete-time dynamics are described by difference equations for the system state jumps, at prescribed time instants. Systems of three following degrees of generality are considered: time-varying, time-periodical and time-constant discrete-continuous systems. For these systems observability criteria are proposed. Some significant observability properties of such systems are presented.

MSC:

93B07	Observability
93B55	Pole and zero placement problems
93C83	Control/observation systems involving computers (process control, etc.)

Keywords:

discrete-continuous (hybrid) system; linear time-periodic system; linear time-invariant system; observability; unobservable linear space