Changes in cerebral blood flow (CBF) because of functional activation are used as a surrogate for neural activity in many functional neuroimaging studies. In these studies, it is often assumed that the CBF response is a linear-time invariant (LTI) transform of the underlying neural activity. By using a previously developed animal model system of electrical forepaw stimulation in rats (n = 11), ...

Two approaches to moment matching based model reduction of aperiodically sampled data systems are given. The term “aperiodic sampling” is used in the paper to indicate that the time between two consecutive sampling instants can take its value from a pre-specified finite set of allowed sampling intervals. Such systems can be represented by discrete-time linear switched (LS) state space (SS) mode...

This work proposes a new approach to the blind inversion of Wiener systems. A Wiener system is composed of a linear time-invariant (LTI) sub-system followed by a memoryless nonlinear function. The goal is to recover the input signal by knowing just the output of the Wiener system, and the straightforward scheme to achieve this is called the Hammerstein system –– apply a memoryless nonlinear map...

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...

A novel accumulated error based event-triggered model predictive control (MPC) algorithm is put forward on the basis of dual-mode strategy and state-feedback for constrained continuous-time linear time-invariant (LTI) systems with constraints bounded disturbances. First, a new mechanism (ETM) constructed (AE) between optimal state trajectory real trajectory. Next, in order to stabilize system, ...

Robust stochastic anisotropy-based H∞-optimization problem for discrete linear time-invariant (LTI) systems with structured parametric uncertainty is considered. It is shown that the problem can be reduced to mixed H2/H∞-like problem. The resulting control problem involves the minimization of anysotropic and H∞ norms of the system. Explicit state-space formulas are also obtained for the optimal...

Linear time-invariant filter is presented for state estimation in LTI systems with bounded noise. The filter is optimal in the sense that it guarantees minimal error bounds (minimal invariant ellipsoid for errors of filtering). Both continuous-time and discrete-time cases are covered. The key role plays LMI technique and new version of S-theorem. Double pendulum velocity estimation is considere...

In this paper, we investigate several theoretical and computational aspects of fundamental subspaces for linear, time-invariant (LTI) descriptor systems, which appear in the solution of many control and estimation problems. Different types of reachability and controllability for descriptor systems are described and discussed. The Rosenbrock system matrix pencil is employed for the computation o...

A technique for discretizing efficiently the solution of a Linear descriptor regular differential input system with consistent initial conditions, and Time-Invariant coefficients LTI is introduced and fully discussed. Additionally, an upper bound for the error ‖x kT − xk‖ that derives from the procedure of discretization is also provided. Practically speaking, we are interested in such kind of ...

We consider a generalized class of relay controllers where the system input may take values in a finite set of constant vectors. A simple continuous-time design method is proposed for linear time invariant (LTI) systems. Furthermore, it is used in the sampled-data case in order to guarantee (locally) the practical stabilization to a bounded ellipsoid containing the origin. The sampling interval...