1,721,412 research outputs found
Asymptotic analysis of the Friedkin-Johnsen model when the matrix of the susceptibility weights approaches the identity matrix
No full textIn this paper we analyze the Friedkin-Johnsen model of opinions when the coefficients weighting the agent susceptibilities to interpersonal influence approach 1. We will show that in this case, under suitable assumptions, the model converges to a quasi-consensus condition among the agents. In general the achieved consensus value will be different from the one obtained by the corresponding DeGroot model
Robust stability of linear, discrete-time systems subject to time-varying, bounded rate parameters
No full textIn this paper we deal with the robust stability problem for linear,
discrete-time systems subject to uncertain, time-varying parameters. The
novelty with respect to previous papers is that bounded rate parameters
are considered. We provide three alternative sufficient conditions for
stability; the first two conditions work only for systems depending on
one parameter, while the third one can be extended to the
multi-parameter case. An example is provided to make a benchmark between
the proposed robust stability analysis methods
Gain Scheduling Control for Discrete Time Systems Depending on Slowly Varying Parameters
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Guaranteeing cost strategies for linear quadratic differential games under uncertain dynamics
No full textThis paper deals with the design of closed loop strategies for a class of two players zero-sum linear quadratic differential games, where each player does not know exactly the state equation and model it through a system subject to norm-bounded uncertainties. The finite horizon and the infinite horizon problems are both solved: it turns out that the optimal strategies, guaranteeing to each player a given level of performance, require, to be evaluated, the solution of two scaled differential (algebraic in the infinite horizon case) Riccati equations. A numerical example illustrates an application of the proposed techniqu
Robust H-infinity control for time-varying systems depending on multi-block uncertainties
No full textFinite horizon robust H-infinity control for linear time-varying systems depending on norm bounded uncertainties
No full textRobust Strategies for Trajectory Tracking Nash Linear Quadratic Games Under Uncertain Dynamics
No full textAssessing the finite-time stability of nonlinear systems by means of physics-informed neural networks
No full textIn this paper, the problem of assessing the Finite-Time Stability (FTS) property for general nonlinear systems is considered. First, some necessary and sufficient conditions that guarantee the FTS of nonlinear systems are provided; such conditions are expressed in terms of the existence of a suitable Lyapunov-like function. Connections of the main theoretical result given in this article with the typical conditions based on Linear Matrix Inequalities (LMI) that are used for Linear Time-Varying (LTV) systems are discussed. An extension to the case of discrete time systems is also provided. Then, we propose a method to verify the obtained conditions for a very broad class of nonlinear systems. The proposed technique leverages the capability of neural networks to serve as universal function approximators to obtain the Lyapunov-like function. The network training data are generated by enforcing the conditions defining such function in a (large) set of collocation points, as in the case of Physics-Informed Neural Networks. To illustrate the effectiveness of the proposed approach, some numerical examples are proposed and discussed. The technique proposed in this paper allows to obtain the required Lyapunov-like function in closed form. This has the twofold advantage of a) providing a practical way to verify the considered FTS property for a very general class of systems, with an unprecedented flexibility in the FTS context, and b) paving the way to control applications based on Lyapunov methods in the framework of Finite-Time Stability and Control
Solution of the state feedback singular H-infinity control problem for linear time-varying systems
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