On State-Space Representations of General Discrete-Time Dynamical Systems
نویسندگان
چکیده
In this paper we establish that every (deterministic) non-autonomous, discrete-time, causal, time invariant system has a state-space representation, and discuss its minimality.
منابع مشابه
Extended State-Space Model of Discrete- Time Dynamical Systems
Abstroer-A model far discrete-time dynamical systems is discussed in which are more naturally described by a set of higher order which the future values of the internal variables depend on the present and differential equations involving the internal and K I previous time instants, where Kis the order of the model. We outline the input, transition matrix and impulse response calculations, equiv...
متن کاملAdmissibility analysis for discrete-time singular systems with time-varying delays by adopting the state-space Takagi-Sugeno fuzzy model
This paper is pertained with the problem of admissibility analysis of uncertain discrete-time nonlinear singular systems by adopting the state-space Takagi-Sugeno fuzzy model with time-delays and norm-bounded parameter uncertainties. Lyapunov Krasovskii functionals are constructed to obtain delay-dependent stability condition in terms of linear matrix inequalities, which is dependent on the low...
متن کاملNetwork Analysis of the State Space of Discrete Dynamical Systems
Amer Shreim, Peter Grassberger, Walter Nadler, Björn Samuelsson, Joshua E. S. Socolar, and Maya Paczuski Complexity Science Group, Department of Physics and Astronomy, University of Calgary, Calgary, Alberta, Canada Department of Physics, Michigan Technological University, Houghton, Michigan, USA Department of Physics, Duke University, Durham, North Carolina, USA (Received 20 October 2006; publ...
متن کاملThe General Properties of Discrete-Time Competitive Dynamical Systems
For strongly competitive discrete-time dynamical systems on a strongly ordered topological vector space, it is proved that any αor ω-limit set is unordered and lies on some invariant hypersurface with codimension one, which generalizes Hirsch’s results for competitive autonomous systems of ordinary differential equations to competitive maps in a very general framework and implies the Sarkovskii...
متن کاملState Estimation of Constrained Nonlinear Discrete-time Dynamical Systems
In this paper, a recursive state estimator is developed to handle the problem of state estimation of nonlinear discrete-time dynamical systems when some of the states of these systems are subject to equality or inequality constraints which are due to physical or practical considerations. The system model and the measurements are assumed to be corrupted by zero mean white Gaussian noise. The pro...
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: IEEE Transactions on Automatic Control
سال: 2022
ISSN: ['0018-9286', '1558-2523', '2334-3303']
DOI: https://doi.org/10.1109/tac.2022.3173985