LINEAR HYPERBOLIC SYSTEMS
Control of 2 × 2 Linear Hyperbolic Systems: Backstepping-Based Trajectory Generation and PI-Based Tracking
... 2 Linear Hyperbolic Systems: Backstepping-Based Trajectory Generation and PI-Based Tracking Pierre-Olivier Lamare, Nikolaos Bekiaris-Liberis, and Alexandre ...2 systems of first-order ...
7
Strong convergence of nonlinear finite volumemethods for linear hyperbolic systems
... [4] R. Eymard, T. Gallouet, R. Herbin, Finite Volume Methods, Handbook of Numerical Analysis, Vol. VII, 2000 [5] Ndjinga, Micha¨ el. ”Weak Convergence of Nonlinear Finite Volume Schemes for Linear ...
3
Optimal time for the controllability of linear hyperbolic systems in one dimensional space
... Keywords: hyperbolic systems, boundary controls, backstepping, optimal ...Introduction Linear hyperbolic systems in one dimensional space are frequently used in modelling of many ...
33
Null-controllability of linear hyperbolic systems in one dimensional space
... Null-controllability, hyperbolic systems, backstepping, Hilbert uniqueness method, com- ...result Linear hyperbolic systems in one dimensional space are frequently used in modeling of ...
15
Adding an integrator to backstepping: Output disturbances rejection for linear hyperbolic systems
... 2 linear hyperbolic systems has been analyzed in [1], [2], [10], [14], [16], ...quasilinear hyperbolic systems has been made in [5], for semilinear equations in [15], and for n × n ...
8
Control of 2 × 2 Linear Hyperbolic Systems: Backstepping-Based Trajectory Generation and PI-Based Tracking
... 2 linear systems, the results in [34], dealing with the backstepping stabilization of 2 × 2 linear systems, and the results in [26], dealing with the motion planning for a class of 2 × 2 ...2 ...
26
Event-based control of linear hyperbolic systems of conservation laws
... words: Linear hyperbolic systems; Lyapunov techniques; Triggering conditions; Piecewise continuous ...trol systems (see for instance the seminal work [1,36] or the most recent ones [18,27] and ...
16
On the optimal controllability time for linear hyperbolic systems with time-dependent coefficients
... A recent efficient way in the study of the stabilisation and the controllability of system (1.1), (1.5), and (1.6) is via a backstepping approach. The backstepping approach for the control of partial differential ...
45
Event-based boundary control of a linear 2x2 hyperbolic system via backstepping approach
... Terms—Linear hyperbolic systems, Backstepping control design, dynamic triggering condition, event-based ...control systems, ranging from seminal works in [2], [1] until more recent ones in ...
9
Intrusive projection methods with upwinding for uncertain nonlinear hyperbolic systems
... be hyperbolic in two specific cases, namely when the original stochastic problem has a symmetric Jacobian (the main application being scalar conservation laws) and when its eigenvectors are independent of the ...
35
Lyapunov functions and finite time stabilization in optimal time for homogeneous linear and quasilinear hyperbolic systems
... Keywords: hyperbolic systems, boundary controls, Lyapunov functions, backstepping, finite time stabilization, optimal ...Introduction Hyperbolic systems in one dimensional space are frequently ...
22
internal control and stabilization of some 1-D hyperbolic systems
... on systems of the form (3.2) in this article. These systems are an example of linear hyperbolic systems with a distributed scalar ...Such systems appear naturally in physical ...
180
Coupling between hyperbolic and diffusive systems : a port-Hamiltonian formulation.
... The main idea of the present work is to put the Webster-Lokshin fractional PDE into the infinite dimensional port-Hamiltonian framework [van der Schaft et al.(2002)], [Le Gorrec et al.(2005)], in order to take advantage ...
10
Schemes with well-controlled dissipation. Hyperbolic systems in nonconservative form
... In the present paper, we have constructed accurate and robust finite difference schemes for non- conservative hyperbolic systems by adapting LeFloch-Mishra’s WCD framework [32]. An analysis of the ...
30
Approximation of linear distributed parameter systems by delay systems
... parameter systems, time-delay systems, approximation, stabilization 1 Introduction In the input-output approach, approximating a plant means to find a more tractable model with respect to given ...
10
Coupling between hyperbolic and diffusive systems: A port-Hamiltonian formulation
... The main idea of the present work is to put the Webster–Lokshin fractional PDE into the infinite dimensional port-Hamiltonian frame- work [28 , 13] , in order to take advantage of this setting. The port Hamiltonian ...
9
Linear minimum mean square filters for Markov jump linear systems
... partition of the state space of the Markov chain into several classes called clusters, and we observe the trajectory of classes the chain belongs to along time. The clusters may be chosen as they are considered as a ...
11
Separating linear forms for bivariate systems
... separating linear form of a system of bivariate polynomials with integer coefficients, that is a linear combination of the variables that takes different values when evaluated at distinct (complex) ...
23
Antiwindup regulation of saturated linear systems
... Antiwindup regulation of saturated linear systems F. Forni, L. Zaccarian, R. Sepulchre Abstract— We consider the output regulation problem for linear systems subject to actuators saturation. ...
6
Serre's reduction of linear functional systems
... mathematical systems theory and numerical analysis, the problem of the equivalence of a multivariate polynomial matrix to its Smith normal form by means of unimodular transformations has only been sparsely studied ...
60