Abstract. The lower-thermosphere–ionosphere (LTI) system consists of the upper atmosphere and lower part ionosphere as such comprises a complex coupled to both below space above. atmospheric LTI is dominated by laws continuum fluid dynamics chemistry, while plasma controlled electromagnetic forces driven magnetosphere, solar wind, well wind dynamo. hence domain many different physical processes...

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...

Bounded-input bounded-output stability conditions for fractional-order linear time-invariant (LTI) system with multiple noncommensurate orders have been established in this paper. The orders become noncommensurate orders when they do not have a common divisor. Sufficient and necessary conditions of stability for this kind of fractional-order LTI system with multiple noncommensurate orders. Base...

Abstract. For linear time-invariant (LTI) state space systems it is well-known that its asymptotic stability can be related to solution properties of the Lyapunov matrix equation according to so-called inertia theorems. The question now arises how analogous results can be obtained for LTI descriptor systems (singular systems, differential-algebraic equations). The stability behaviour of a LTI d...

In this paper, a parametric Fourier series based model (FSBM) for or as an approximation to an arbitrary nonminimum-phase linear time-invariant (LTI) system is proposed for statistical signal processing applications where a model for LTI systems is needed. Based on the FSBM, a (minimumphase) linear prediction error (LPE) filter for amplitude estimation of the unknown LTI system together with th...

The realization of a discrete-time, linear, time-invariant (LTI) filter from its impulse response provides insight into the role of linear algebra in the analysis of both dynamical systems and rational functions. For an LTI filter, a sequence of output data measured over some finite period of time may be expressed as the linear combination of the past input and the input measured over that same...

Abstract It is well-known that the performance of linear time-invariant (LTI) feedback control hampered by fundamental limitations. In this paper, it shown using a so-called hybrid integrator-gain system (HIGS) in controller, important LTI limitations can be overcome. particular, we show for two limitations, where overshoot step-response has to present any stabilizing controller. For each case,...

this paper undertakes the synthesis of a logic-based switching h2/h∞ state-feedback controller for continuous-time lti singular perturbation systems. our solution achieves a minimum bound on the h2 performance level, while also satisfying the h∞ performance requirements. the proposed hybrid control scheme is based on a fuzzy supervisor managing the combination of two controllers. a convex lmi-b...

We consider a multiobjective robust controller synthesis problem for an LTI system subject to structured perturbations. Our design speciications include robust stability, robust performance (H 2-norm) bounds and time-domain bounds (output and command input peak). We derive suucient conditions, based on a single quadratic Lyapunov function, for the existence of an LTI controller such that the cl...

This article presents parameter estimation of continuous-time polytopic models for a linear parameter varying (LPV) system. The prediction error method of linear time invariant (LTI) models is modi ed for polytopic models. The modi ed prediction error method is applied to an LPV aircraft system whose varying parameter is the ight velocity and model parameters are the stability and control deriv...