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Controllability and Observability for a Linear Time Varying System with Piecewise Constant Delay
(Springer, 2015)
In this note, we obtain some necessary and sufficient conditions for the controllability and observability in a linear time-varying control system with piecewise constant state variables. The controllability results can ...
Piecewise smooth dynamical systems: Persistence of periodic solutions and normal forms
(2016-04-05)
We consider an n-dimensional piecewise smooth vector field with two zones separated by a hyperplane σ which admits an invariant hyperplane Ω transversal to σ containing a period annulus A fulfilled by crossing periodic ...
LIMIT CYCLES of DISCONTINUOUS PIECEWISE LINEAR DIFFERENTIAL SYSTEMS
(World Scientific Publ Co Pte Ltd, 2014)
A Grobman–Hartman Theorem for differential equations with piecewise constant arguments of mixed type
(European Mathematical Society Publishing House, 2018)
We obtain sufficient conditions for the existence of a uniformly and Hölder continuous homeomorphism between the solutions of a linear differential system with piecewise constant argument of generalized type and the solutions ...
A Grobman-Hartman theorem for differential equations with piecewise constant arguments of mixed type
(European Mathematical SOC, 2018)
We obtain sufficient conditions for the existence of a uniformly and Holder continuous homeomorphism between the solutions of a linear differential system with piecewise constant argument of generalized type and the solutions ...
Melnikov analysis in nonsmooth differential systems with nonlinear switching manifold
(2019-09-05)
We study the family of piecewise linear differential systems in the plane with two pieces separated by a cubic curve. Our main result is that 7 is a lower bound for the Hilbert number of this family. In order to get our ...
Órbitas periódicas em sistemas diferenciais suaves por partesPeriodic orbits in piecewise-smooth differential systems
(Universidade Estadual Paulista (Unesp), 2016)
Use of piecewise linear models for optimal control of nonlinear systems
(Institute of Advanced Scientific Research, 2009-12)
The optimal feedback control of nonlinear process is attacked in this paper. The solution of this problem is numerically computed using a Continuous Piecewise Linear (CPWL) approximation of the Ordinary Differential Equations ...
Piecewise linear differential systems with two real saddles
(Elsevier Science BvAmsterdamHolanda, 2014)