The Experts below are selected from a list of 84 Experts worldwide ranked by ideXlab platform
Mario Sigalotti - One of the best experts on this subject based on the ideXlab platform.
-
A Characterization of Switched Linear Control Systems With Finite $L_{2}$-Gain
IEEE Transactions on Automatic Control, 2017Co-Authors: Yacine Chitour, Paolo Mason, Mario SigalottiAbstract:Motivated by an open problem posed by J. P. Hespanha, we extend the notion of Barabanov norm and Extremal Trajectory to classes of switching signals that are not closed under concatenation. We use these tools to prove that the finiteness of the L2-gain is equivalent, for a large set of switched linear control systems, to the condition that the generalized spectral radius associated with any minimal realization of the original switched system is smaller than one.
-
CDC - Quasi-Barabanov semigroups and finiteness of the L2-induced gain for switched linear control systems: Case of full-state observation
2015 54th IEEE Conference on Decision and Control (CDC), 2015Co-Authors: Yacine Chitour, Paolo Mason, Mario SigalottiAbstract:Motivated by an open problem posed by J.P. Hespanha we extend the notion of Barabanov norm and Extremal Trajectory to general classes of switching signals. As a consequence we characterize the finiteness of the L2-induced gain for a large set of switched linear control systems in case of full-state observation in terms of the sign of the generalized spectral radius associated with minimal realizations of the original switched system.
-
A characterization of switched linear control systems with finite L 2 -gain
arXiv: Optimization and Control, 2015Co-Authors: Yacine Chitour, Paolo Mason, Mario SigalottiAbstract:Motivated by an open problem posed by J.P. Hespanha, we extend the notion of Barabanov norm and Extremal Trajectory to classes of switching signals that are not closed under concatenation. We use these tools to prove that the finiteness of the L2-gain is equivalent, for a large set of switched linear control systems, to the condition that the generalized spectral radius associated with any minimal realization of the original switched system is smaller than one.
-
Quasi-Barabanov semigroups and finiteness of the L2-induced gain for switched linear control systems: Case of full-state observation
2015 54th IEEE Conference on Decision and Control (CDC), 2015Co-Authors: Yacine Chitour, Paolo Mason, Mario SigalottiAbstract:Motivated by an open problem posed by J.P. Hespanha we extend the notion of Barabanov norm and Extremal Trajectory to general classes of switching signals. As a consequence we characterize the finiteness of the L2-induced gain for a large set of switched linear control systems in case of full-state observation in terms of the sign of the generalized spectral radius associated with minimal realizations of the original switched system.
Yacine Chitour - One of the best experts on this subject based on the ideXlab platform.
-
A Characterization of Switched Linear Control Systems With Finite $L_{2}$-Gain
IEEE Transactions on Automatic Control, 2017Co-Authors: Yacine Chitour, Paolo Mason, Mario SigalottiAbstract:Motivated by an open problem posed by J. P. Hespanha, we extend the notion of Barabanov norm and Extremal Trajectory to classes of switching signals that are not closed under concatenation. We use these tools to prove that the finiteness of the L2-gain is equivalent, for a large set of switched linear control systems, to the condition that the generalized spectral radius associated with any minimal realization of the original switched system is smaller than one.
-
CDC - Quasi-Barabanov semigroups and finiteness of the L2-induced gain for switched linear control systems: Case of full-state observation
2015 54th IEEE Conference on Decision and Control (CDC), 2015Co-Authors: Yacine Chitour, Paolo Mason, Mario SigalottiAbstract:Motivated by an open problem posed by J.P. Hespanha we extend the notion of Barabanov norm and Extremal Trajectory to general classes of switching signals. As a consequence we characterize the finiteness of the L2-induced gain for a large set of switched linear control systems in case of full-state observation in terms of the sign of the generalized spectral radius associated with minimal realizations of the original switched system.
-
A characterization of switched linear control systems with finite L 2 -gain
arXiv: Optimization and Control, 2015Co-Authors: Yacine Chitour, Paolo Mason, Mario SigalottiAbstract:Motivated by an open problem posed by J.P. Hespanha, we extend the notion of Barabanov norm and Extremal Trajectory to classes of switching signals that are not closed under concatenation. We use these tools to prove that the finiteness of the L2-gain is equivalent, for a large set of switched linear control systems, to the condition that the generalized spectral radius associated with any minimal realization of the original switched system is smaller than one.
-
Quasi-Barabanov semigroups and finiteness of the L2-induced gain for switched linear control systems: Case of full-state observation
2015 54th IEEE Conference on Decision and Control (CDC), 2015Co-Authors: Yacine Chitour, Paolo Mason, Mario SigalottiAbstract:Motivated by an open problem posed by J.P. Hespanha we extend the notion of Barabanov norm and Extremal Trajectory to general classes of switching signals. As a consequence we characterize the finiteness of the L2-induced gain for a large set of switched linear control systems in case of full-state observation in terms of the sign of the generalized spectral radius associated with minimal realizations of the original switched system.
Gianna Stefani - One of the best experts on this subject based on the ideXlab platform.
-
Strong local optimality for a bang-bang-singular Extremal: the fixed-free case
arXiv: Optimization and Control, 2016Co-Authors: Laura Poggiolini, Gianna StefaniAbstract:In this paper we give sufficient conditions for a Pontryagin Extremal Trajectory, consisting of two bang arcs followed by a singular one, to be a strong local minimizer for a Mayer problem. The problem is defined on a manifold $M$ and the end-points constraints are of fixed-free type. We use a Hamiltonian approach and its connection with the second order conditions in the form of an accessory problem on the tangent space to $M$ at the final point of the Trajectory. Two examples are proposed.
-
Structural Stability for Bang-Singular-Bang Extremals in the Minimum Time Problem
Siam Journal on Control and Optimization, 2013Co-Authors: Laura Poggiolini, Gianna StefaniAbstract:We study the structural stability of a bang-singular-bang Extremal in the minimum time problem between fixed points. The dynamics is single-input and control-affine with bounded control. On the nominal problem ($r=0$), we assume the coercivity of a suitable second variation along the singular arc and regularity both of the bang arcs and of the junction points, thus obtaining the strict strong local optimality for the given bang-singular-bang Extremal Trajectory. Moreover, as in the classically studied regular cases, we assume a suitable controllability property, which grants the uniqueness of the adjoint covector. Under these assumptions we prove that for any sufficiently small $r$, there is a bang-singular-bang Extremal Trajectory which is a strict strong local optimizer for the $r$-problem. A uniqueness result in a neighborhood of the graph of the nominal Extremal pair is also obtained. The results are proved via the Hamiltonian approach to optimal control and by taking advantage of the implicit functio...
-
Structural stability for bang--singular--bang Extremals in the minimum time problem
arXiv: Optimization and Control, 2013Co-Authors: Laura Poggiolini, Gianna StefaniAbstract:In this paper we study the structural stability of a bang-singular-bang Extremal in the minimum time problem between fixed points. The dynamics is single-input and control-affine. On the nominal problem ($r = 0$), we assume the coercivity of a suitable second variation along the singular arc and regularity both of the bang arcs and of the junction points, thus obtaining the strict strong local optimality for the given bang-singular-bang Extremal Trajectory. Moreover, as in the classically studied regular cases, we assume a suitable controllability property, which grants the uniqueness of the adjoint covector. Under these assumptions we prove that, for any sufficiently small $r$, there is a bang-singular-bang Extremal Trajectory which is a strict strong local optimiser for the $r$-problem. A uniqueness result in a neighbourhood of the graph of the nominal Extremal pair is also obtained. The results are proven via the Hamiltonian approach to optimal control and by taking advantage of the implicit function theorem, so that a sensitivity analysis could also be carried out.
-
Time Optimality of a Bang-Bang Trajectory with Maple
IFAC Proceedings Volumes, 2003Co-Authors: Gianna Stefani, P. ZezzaAbstract:Abstract We analyze the time-optimal properties of a bang-bang Extremal Trajectory of the Van der Pol controlled equation. Our goal is to verify if some general abstract second order conditions obtained by the authors could be verified numerically or formally by the computer algebra system Maple. In this example we are able te obtain a complete description of the structure of the state-local time-optimal state trajectories
Paolo Mason - One of the best experts on this subject based on the ideXlab platform.
-
A Characterization of Switched Linear Control Systems With Finite $L_{2}$-Gain
IEEE Transactions on Automatic Control, 2017Co-Authors: Yacine Chitour, Paolo Mason, Mario SigalottiAbstract:Motivated by an open problem posed by J. P. Hespanha, we extend the notion of Barabanov norm and Extremal Trajectory to classes of switching signals that are not closed under concatenation. We use these tools to prove that the finiteness of the L2-gain is equivalent, for a large set of switched linear control systems, to the condition that the generalized spectral radius associated with any minimal realization of the original switched system is smaller than one.
-
CDC - Quasi-Barabanov semigroups and finiteness of the L2-induced gain for switched linear control systems: Case of full-state observation
2015 54th IEEE Conference on Decision and Control (CDC), 2015Co-Authors: Yacine Chitour, Paolo Mason, Mario SigalottiAbstract:Motivated by an open problem posed by J.P. Hespanha we extend the notion of Barabanov norm and Extremal Trajectory to general classes of switching signals. As a consequence we characterize the finiteness of the L2-induced gain for a large set of switched linear control systems in case of full-state observation in terms of the sign of the generalized spectral radius associated with minimal realizations of the original switched system.
-
A characterization of switched linear control systems with finite L 2 -gain
arXiv: Optimization and Control, 2015Co-Authors: Yacine Chitour, Paolo Mason, Mario SigalottiAbstract:Motivated by an open problem posed by J.P. Hespanha, we extend the notion of Barabanov norm and Extremal Trajectory to classes of switching signals that are not closed under concatenation. We use these tools to prove that the finiteness of the L2-gain is equivalent, for a large set of switched linear control systems, to the condition that the generalized spectral radius associated with any minimal realization of the original switched system is smaller than one.
-
Quasi-Barabanov semigroups and finiteness of the L2-induced gain for switched linear control systems: Case of full-state observation
2015 54th IEEE Conference on Decision and Control (CDC), 2015Co-Authors: Yacine Chitour, Paolo Mason, Mario SigalottiAbstract:Motivated by an open problem posed by J.P. Hespanha we extend the notion of Barabanov norm and Extremal Trajectory to general classes of switching signals. As a consequence we characterize the finiteness of the L2-induced gain for a large set of switched linear control systems in case of full-state observation in terms of the sign of the generalized spectral radius associated with minimal realizations of the original switched system.
Emilio Cortes - One of the best experts on this subject based on the ideXlab platform.
-
Extremal trajectories for stochastic equations obtained directly from the Langevin differential operator. II. First integrals
Journal of Physics A, 1992Co-Authors: Emilio CortesAbstract:For pt.I see ibid., vol.24, p.L215, (1991). It has been shown that the differential operator for the Extremal Trajectory of a stochastic process can be written as a square of operators, i.e. the Langevin systematic operator times its adjoint. Here the author shows that one can go further and also write directly from the Langevin equation, first integrals (conservation principles) of the Extremal path differential equation. Linearity in the Langevin operator and Gaussianity for the fluctuation are assumed.
-
Extremal trajectories for stochastic equations obtained directly from the Langevin differential operator
Journal of Physics A, 1991Co-Authors: Emilio CortesAbstract:Shows that the differential operator for the Extremal Trajectory of a stochastic process can be connected directly to the systematic part of the differential operator that defines the stochastic equation. By assuming linearity in this operator and Gaussianity for the fluctuation, the author is able to write these relations for Markovian as well as non-Markovian processes.
