Commutativity of first‐order discrete‐time linear time‐varying systems
نویسندگان
چکیده
منابع مشابه
Commutativity of First-order Discrete-Time Linear Time-varying Systems
After introducing the concept of commutativity for continuous-time linear time-varying systems, the related literature and the results obtained so far are presented. For a simple introduction of the commutativity of discrete-time linear time-varying systems, the problem is formulated for first-order systems. Finally, explicit necessary and sufficient conditions for the commutativity of first-or...
متن کاملTransitivity of Commutativity for Linear Time-Varying Analog Systems
In this contribution, the transitivity property of commutative first-order linear timevarying systems is investigated with and without initial conditions. It is proven that transitivity property of first-order systems holds with and without initial conditions. On the base of impulse response function, transitivity of commutation property is formulated for any triplet of commutative linear time-...
متن کاملOn stable simultaneous input and state estimation for discretetime linear systems
This work is devoted to solving simultaneous input and state estimation (SISE) problem for discrete-time linear systems. Our aim is to develop stable SISE algorithms. By applying the minimum variance unbiased estimation technique, we derive two SISE algorithms in the presence or absence of direct feedthrough, respectively. Riccati-like equations are formulated and presented to analyze the stabi...
متن کاملLess conservative stability criteria for linear systems with interval timevarying delays
The problem of the stability of a linear system with an interval time-varying delay is investigated. A new Lyapunov–Krasovskii functional that fully uses information about the lower bound of the time-varying delay is constructed to derive new stability criteria. It is proved that the proposed Lyapunov–Krasovskii functional can lead to less conservative results than some existing ones. Based on ...
متن کاملCommutativity of Systems with their Feedback Conjugates
After introducing commutativity concept and summarizing the relevant literature, this work is focused on the commutativity of feedback conjugates. It is already known that a linear time-varying differential system describing a single input-single output dynamical system is always commutative with its constant gain feedback pairs. In this article, it is proven that among the time-varying feedbac...
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: Mathematical Methods in the Applied Sciences
سال: 2018
ISSN: 0170-4214,1099-1476
DOI: 10.1002/mma.5310