Exponentially Stable Linear Time-Varying Discrete Behaviors
نویسندگان
چکیده
منابع مشابه
Exponentially Stable Linear Time-Varying Discrete Behaviors
We study implicit systems of linear time-varying (LTV) difference equations with rational coefficients of arbitrary order and their solution spaces, called discrete LTV-behaviors. The signals are sequences, i.e. functions from the discrete time set of natural numbers into the complex numbers. The difference field of rational functions with complex coefficients gives rise to a noncommutative ske...
متن کاملA Kalman Filter-based Stable Dynamic Inversion for Discrete-time, Linear, Time-varying Systems
In this paper the problem of estimating an unknown input for discretetime, non-minimum phase, multivariable, linear time-varying systems (LTV) is considered. The initial condition of the plant may be unknown and stochastic process and measurement noise are included. The input signal is modelled as a random walk with drifts. Then it is estimated using a Kalman filter for a uniformly detectable a...
متن کاملOn the stabilization of discrete-time linear time-varying systems
This note considers feedback stabilization of discrete-time linear time-varying systems. An operator-theoretic formulation of time-varying systems is used which allows the development to follow closely the linear time-invariant case. Using this framework, an extended Lyapunov stability result is derived. This leads to a direct proof of a feedback stabilization scheme due to Cheng without the us...
متن کاملAveraging and stability of time-varying discrete-time linear systems ⋆
Stability results for time-varying systems with output averaged using the norm are established. The discrete-time linear system is considered under a bound on time-average on the mean-value of the output norm. It is shown that under controllability, observability and a uniform bound on the matrix norm, the time-varying system is asymptotically and uniformly stable. If, in addition, the solution...
متن کاملNoncausal linear periodically time-varying scaling for discrete-time systems
A novel technique called noncausal linear periodically time-varying (LPTV) scaling was introduced recently, and it was shown that even static noncausal LPTV scaling has an ability of inducing frequency-dependent scaling if it is interpreted in the context of the conventional scaling approach. Motivated by this preceding study of ours, this paper studies to exploit this attractive property and d...
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: SIAM Journal on Control and Optimization
سال: 2015
ISSN: 0363-0129,1095-7138
DOI: 10.1137/140988498