One of the most influential results in neural network theory is universal approximation theorem [1], [2], [3] which states that continuous functions can be approximated to within arbitrary accuracy by single-hidden-layer feedforward networks. The purpose this paper establish a result spirit for general discrete-time linear dynamical systems—including time-varying systems—by recurrent networks (...

This paper discusses the linear periodically time-varying (LPTV) system parameter estimation using a block approach. An block algorithm is proposed for optimal estimation of the parameters of LPTV system from the input sequence and the output sequence corrupted by additive Gaussianly distributed noise. In the proposed method, the least squares error criterion has been used.The algorithm provide...

This paper studies the variation diminishing property of k-positive linear time-invariant (LTI) systems, which diminish number sign changes (variation) from input to output, if is at most k?1. We characterize this for discrete-time Toeplitz and Hankel operators finite-dimensional causal systems. Our main result that these have a dominant approximation in form series or parallel interconnections...

In this paper, we propose a procedure to achieve rational approximation to arbitrary fractional order linear time invariant (FO-LTI) systems with sub-optimum H2-norm. Through illustrations, we show that the rational approximation is simple and effective. It is also demonstrated that this sub-optimum approximation method is effective in designing integer order controllers for FO-LTI systems in g...

A linear time-invariant (LTI) output feedback controller is designed for a linear parameter-varying (LPV) control system to achieve quadratic stability. The LPV system includes immeasurable dependent parameters that are assumed to vary in a polytopic space. To solve this control problem, a heuristic algorithm is proposed in the form of an iterative linear matrix inequality (ILMI) formulation. F...

In this paper, the problem of state observation for a continuous-time linear time-invariant (LTI) switched system is addressed. A finite-time observer (FTO) is employed for each subsystem and a switching observer is constructed accordingly. The finite convergence time property of the proposed switching observer is discussed and the exponential stability of the observation error is investigated....

Abstract: By using the concept of parameter varying (C,A)-invariant subspace and parameter varying unobservability subspace, this paper investigates the problem of fault detection and isolation in linear parameter varying (LPV) systems. The so called detection filters approach, formulated as the fundamental problem of residual generation (FPRG) for linear time invariant (LTI) systems is extende...

We consider the solution of nonlinear optimal control problems subject to stochastic perturbations with incomplete observations. In particular , we generalize results obtained by Ito and Kunisch in [8] where they consider a receding horizon control (RHC) technique based on linearizing the problem on small intervals. The linear-quadratic optimal control problem for the resulting time-invariant (...

Linear Time Invariant (LTI) systems are ubiquitous in software systems and control applications. Unbounded-time reachability analysis that can cope with industrial-scale models with thousands of variables is needed. To tackle this general problem, we use abstract acceleration, a method for unboundedtime polyhedral reachability analysis for linear systems. Existing variants of the method are res...