Input Observability of Linear Dynamic Measuring Systems and Input-Output Duality
نویسندگان
چکیده
منابع مشابه
Input-output equations and observability for polynomial delay systems
This paper discusses a result by Fliess about input-output equations [or polynomial systems with time delays, and strengthens the result somewhat. The proof given is more detailed and opens the way [or constructive methods [or determining the input-output behavior. Some such methods based on Grobner bases are described in detail. Furthermore, some connections with observability are exploited.
متن کاملInput – Output Stabilization of Linear Systems on
A formal framework is set up for the discussion of generalized autoregressive with external input models of the form = , where and are linear operators, with the main emphasis being on signal spaces consisting of bounded sequences parametrized by the integers. Different notions of stability are explored, and topological notions such as the idea of a closed system are linked with questions of st...
متن کاملOutput-input stability of nonlinear systems and input/output operators
The notion of output-input stability, recently proposed in [2], represents a variant of the minimum-phase property for general smooth nonlinear control systems. In the spirit of the input-to-state stability (ISS) philosophy, the definition of output-input stability requires the state and the input of the system to be bounded by a suitable function of the output and derivatives of the output, mo...
متن کاملLinear dynamic filtering with noisy input and output
State estimation problems for linear time-invariant systems with noisy inputs and outputs are considered. An efficient recursive algorithm for the smoothing problem is presented. The equivalence between the optimal filter and an appropriately modified Kalman filter is established. The optimal estimate of the input signal is derived from the optimal state estimate. The result shows that the nois...
متن کاملLinear dynamic filtering with noisy input and output 1
We establish the equivalence between the optimal least-squares state estimator for a linear time-invariant dynamic system with noise corrupted input and output, and an appropriately modified Kalman filter. The approach used is algebraic and the result shows that the noisy input/output filtering problem is not fundamentally different from the classical Kalman filtering problem. The result is ill...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Transactions of the Society of Instrument and Control Engineers
سال: 1970
ISSN: 0453-4654
DOI: 10.9746/sicetr1965.6.152