Pierdomenico Pepe's research while affiliated with Università degli Studi dell'Aquila and other places

Publications (15)

Article
In this paper, the plasma glucose regulation problem for type 2 diabetic patients is studied. A nonlinear time-delay model of the glucose–insulin regulatory system is exploited to design a quantized sampled-data static output feedback control, using only glucose measurements. It is shown that the proposed control law achieves semiglobal practical s...
Preprint
This paper introduces sufficient Lyapunov conditions guaranteeing exponential mean square stability of discrete-time systems with markovian delays. We provide a transformation of the discrete-time system with markovian delays into a discrete-time Markov jump system. Then, we extend sufficient Lyapunov conditions existing for the global asymptotic s...
Preprint
Full-text available
The communication channels used to convey information between the components of wireless networked control systems (WNCSs) are subject to packet losses due to time-varying fading and interference. We consider a wireless networked control scenario, where the packet loss occurs in both the sensor-controller link (sensing link) and the controller-actu...
Article
A nonlinear version of Halanay's inequality is studied in this paper as a sufficient condition for the convergence of functions to the origin, uniformly with respect to bounded sets of initial values. The same result is provided in the case of forcing terms, for the uniform convergence to suitable neighborhoods of the origin. Related Lyapunov metho...
Article
The consensus problem of multi-agent systems (MASs) over directed graphs is analyzed in this paper. A sampled-data control law is induced from a nonlinear consensus protocol (continuous or not) by implementing feedback stabilization methods, in the sample-and-hold sense. Under the edge agreement framework, we show that consensus in a strongly conne...
Article
This paper aims to study the problem of stability for discrete-time fully nonlinear time-delay systems with constrained time-varying delays. A delays digraph is used to model the topology of the delay signals. By exploiting the Halanay technique and suitable Lyapunov functions, some sufficient conditions for the global asymptotic stability, uniform...
Article
In this paper we characterize the global asymptotic and exponential stability of nonlinear switching retarded systems through direct and converse Lyapunov—Krasovskii theorems. Thanks to these theorems, a link between the exponential stability of an unforced switching retarded system and the input-to-state stability property is obtained. An example...
Article
This paper presents an observer for a class of nonlinear systems, suitably affine in the input and the delayed terms, with constant, known, and arbitrarily large time-delays in both internal and output variables. It is assumed that the system at hand is globally drift-observable and that the function describing the dynamics is globally Lipschitz. M...
Article
In this paper it is proved that a networked discrete-time switching system, equipped with a given switches digraph, is input-to-state stable, provided that there exist multiple Lyapunov functions (one for each mode) for each subsystem in the network, satisfying suitable standard inequalities, and provided that a set of suitable vector small-gain co...

Citations

... Combining these two bounds in (9) or (11) allows stability analysis for the closed-loop system. Lemma 2 is different from the existing Halanay-type inequalities (see, e.g., [2], [3]) in the following sense. ...
... Glucose-insulin regulatory system is described by a nonlinear dynamic model with different challenges such as exogenous meal disturbance [1,[14][15][16][17]39] , sampled [1,8,[14][15][16] and quantized glucose measurement by CGM [8,9,14] , and quantized IDR by the insulin infusion pump [8][9][10]14] . We consider meal disturbance in the dynamic model to show the robustness of the proposed control design. ...
... The Lyapunov conditions guaranteeing global asymptotic stability of discrete-time delay systems with delays switches digraphs already exist in literature (see [14]). Sufficient Lyapunov conditions guaranteeing exponential mean square stability of discrete-time Markov jump systems are introduced in [27], [29]. Our contribution consists in the extension of the Lyapunov conditions in [14] for discrete-time systems with delays digraph, to the study of exponential mean square stability of discrete-time systems with markovian delays. ...
... By contrast, Halanay's inequality technique (which was initiated in [3]) is a useful stability analysis tool for the stability analysis of systems with poorly known time-varying delays. This inequality and variants of it, which complement Razumikhin's theorem (which was used in contributions such as [4] and [16]), have been studied in several papers, such as [2], [5], [8], [9], [11], [12], and [15], to extend the domain of application of Halanay's stability analysis strategy. ...
... 13 This approach, called observer-predictor, is inspired on the proposal of chain observers for systems with delayed measurements studied in a differential geometry framework. 14,15 It also suffers from some drawbacks: it loses the exact nature of predictions obtained with Cauchy's formula and requires the inclusion of extra subpredictors designed via LMI techniques. However, it has significant advantages: The observer has the same structure as the system (modulo an output injection term), thus avoiding integrals in the prediction formulae. ...