scholarly journals On the characterization of the controllability property for linear control systems on nonnilpotent, solvable three-dimensional Lie groups

2019 ◽  
Vol 266 (12) ◽  
pp. 8233-8257 ◽  
Author(s):  
Víctor Ayala ◽  
Adriano Da Silva
Keyword(s):  
Control Systems ◽  
Lie Groups ◽  
Three Dimensional ◽  
Linear Control ◽  
Linear Control Systems ◽  
Controllability Property

scholarly journals A Characterization of Switched Linear Control Systems With Finite $L_{2}$-Gain

2017 ◽  
Vol 62 (4) ◽  
pp. 1825-1837 ◽  
Author(s):  
Yacine Chitour ◽  
Paolo Mason ◽  
Mario Sigalotti
Keyword(s):  
Control Systems ◽  
Linear Control ◽  
Linear Control Systems

scholarly journals Measurable multifunctions and their applications to convex integral functionals

1989 ◽  
Vol 12 (1) ◽  
pp. 175-191 ◽  
Author(s):  
Nikolaos S. Papageorgiou
Keyword(s):  
Control Systems ◽  
Banach Spaces ◽  
Time Dependent ◽  
Linear Control ◽  
Linear Control Systems ◽  
Integral Functionals ◽  
Control Constraints ◽  
Infinite Dimensional ◽  
Measurable Multifunctions

The purpose of this paper is to establish some new properties of set valued measurable functions and of their sets of Integrable selectors and to use them to study convex integral functionals defined on Lebesgue-Bochner spaces. In this process we also obtain a characterization of separable dual Banach spaces using multifunctions and we present some generalizations of the classical “bang-bang” principle to infinite dimensional linear control systems with time dependent control constraints.

scholarly journals Observability and Symmetries of Linear Control Systems

Symmetry ◽  
2020 ◽  
Vol 12 (6) ◽  
pp. 953
Author(s):  
Víctor Ayala ◽  
Heriberto Román-Flores ◽  
María Torreblanca Todco ◽  
Erika Zapana
Keyword(s):  
Euclidean Space ◽  
Control Systems ◽  
Lie Groups ◽  
Lie Group ◽  
Linear Control ◽  
Linear Control Systems ◽  
Euclidean Spaces ◽  
General Setup ◽  
Connected Lie Group

The goal of this article is to compare the observability properties of the class of linear control systems in two different manifolds: on the Euclidean space R n and, in a more general setup, on a connected Lie group G. For that, we establish well-known results. The symmetries involved in this theory allow characterizing the observability property on Euclidean spaces and the local observability property on Lie groups.

scholarly journals A semigroup characterization of well-posed linear control systems

2013 ◽  
Vol 88 (2) ◽  
pp. 366-396 ◽  
Author(s):  
Miriam Bombieri ◽  
Klaus-Jochen Engel
Keyword(s):  
Control Systems ◽  
Linear Control ◽  
Linear Control Systems ◽  
Well Posed

Symmetry Breaking of Periodic Orbits in Control Systems: A Harmonic Balance Approach

1998 ◽  
Vol 08 (12) ◽  
pp. 2439-2448 ◽  
Author(s):  
Baltazar Aguirre ◽  
Jose Alvarez-Ramírez ◽  
Rodolfo Suárez
Keyword(s):  
Control System ◽  
Symmetry Breaking ◽  
Control Systems ◽  
Periodic Orbits ◽  
Harmonic Balance ◽  
Three Dimensional ◽  
High Gain ◽  
Linear Control ◽  
Linear Control Systems ◽  
Dimensional Control

This work is concerned with linear control systems subjected to saturated feedback. A first harmonic approach is used to describe the existence of nonsymmetric periodic orbits in a three-dimensional control system. By taking a high-gain parametrization of the feedback control, the presence of nonsymmetric (first harmonic) periodic orbits is demonstrated for certain values of the parameter. Since it is also shown that nonsymmetric periodic orbits do not exist for small and large values of the parameter, evidences are found of the existence of symmetry breaking bifurcations.

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