Spectral analysis and system identification techniques require suitably long data sets. Linear time-invariant (LTI) systems under random input can be demanding in terms of accurate simulation all dynamics because calculation time. This paper details an extension the state-space formulation LTI for higher order holds, periodic exponential inputs. Exact solutions differential state equation are i...

Abstract: In this paper, the transmission zero at s radius and the minimum phase radius of a linear time-invariant (LTI) system are introduced. The former radius gives a measure of how “near” a LTI system is from having a transmission zero at a specified point s ∈ C in the complex plane, and the latter radius measures how “near” a minimum phase system is to a nonminimum phase system. Formulas f...

This paper studies the global asymptotic stability of a class of fuzzy systems. It demonstrates the equivalence of stability properties of fuzzy systems and linear time invariant (LTI) switching systems. A necessary condition and a sufficient condition for the stability of such systems are given, and it is shown that under the sufficient condition, a common Lyapunov function exists for the LTI ...

In this paper we consider the in mal signal-to-noise ratio (SNR) required for stabilisation of a linear time invariant (LTI) scalar unstable plant over a class of additive colouredGaussian noise channels. We apply recent results in the literature to obtain the feedback capacity of such a class of channels. We prove that the in mal SNR constrained LTI solution, when dealing with a scalar unstabl...

Abstract I analyse the effects of two macroprudential policy measures implemented in Switzerland: activation countercyclical capital buffer (CCyB) and a cap on loan-to-value (LTV) ratios. use difference-in-differences method to estimate these risk indicators, such as their LTV loan-to-income (LTI) ratios mortgage growth rates. find that both CCyB led reduction high mortgages. The banks affected...

A computational algorithm for the Full Information H control problem for multi-delayed LTI systems is derived. The algorithm is based on a new general operator approach in spectral domain developed recently for finite-dimensional LTI plants. A simplicity of spectral operations and explicit formulas for computation make it possible to generalize it to infinite-dimensional plants. In this paper, ...

Based on new definitions of “control zeros” and minimum phase property for possibly nonsquare LTI MIMO discretetime systems, generalizations of perfect regulation and perfect filtering are presented both for polynomial matrix and state space models. Consequently, general equivalence results are announced for multi-step and single-step optimal controls as well as for maximumaccuracy and maximum-...

In this paper, the problem of asymptotically stabilizing switched systems consisting of second-order LTI subsystems is studied and solved. In a previous paper, the stabilization problem of switched systems consisting of subsystems with unstable foci was addressed. This paper extends the method therein to the stabilization of switched systems consisting of general second-order LTI subsystems. Ne...

This paper is concerned with the stabilization of LTI/LPV time delay systems with time varying delays using LTI and LPV state-feedback controllers. First, a stability test with guaranteed input/output L2 performance is provided in terms of parameter dependent LMIs. The problem of designing both instantaneous and exact-memory state-feedback control laws is solved. The results are then extended t...