Adaptive robust consensus tracking for nonlinear second‐order multi‐agent systems with heterogeneous uncertainties
Sign Up to like & getrecommendations! Published in 2017 at "International Journal of Robust and Nonlinear Control"
DOI: 10.1002/rnc.3847
Abstract: Summary This paper addresses the consensus tracking problem for a class of heterogeneous nonlinear second-order multi-agent systems with parametric uncertainties, unmodeled dynamics, and bounded external disturbances. By linearly parameterizing the control input of the leader,… read more here.
Keywords: order multi; consensus tracking; second order; consensus ... See more keywords
Nonlinear second-order impulsive differential problems with dependence on the derivative via variational structure
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Fixed Point Theory and Applications"
DOI: 10.1007/s11784-019-0754-3
Abstract: In this paper we use variational methods and fixed point theorems to study the existence of solutions to a boundary value problem for impulsive differential equations with nonlinear dependence on the derivative. read more here.
Keywords: impulsive differential; second order; differential problems; dependence derivative ... See more keywords
A posteriori error estimates and adaptivity for the discontinuous Galerkin solutions of nonlinear second-order initial-value problems
Sign Up to like & getrecommendations! Published in 2017 at "Applied Numerical Mathematics"
DOI: 10.1016/j.apnum.2017.06.001
Abstract: Abstract In this paper, we propose and analyze an efficient and reliable a posteriori error estimator of residual-type for the discontinuous Galerkin (DG) method applied to nonlinear second-order initial-value problems for ordinary differential equations. This… read more here.
Keywords: order; error; discontinuous galerkin; posteriori error ... See more keywords
Nonlinear second-order photonic topological insulators
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DOI: 10.1038/s41567-021-01275-3
Abstract: Higher-order topological insulators are a novel topological phase beyond the framework of conventional bulk–boundary correspondence1,2. In these peculiar systems, the topologically non-trivial boundary modes are characterized by a co-dimension of at least two3,4. Despite several… read more here.
Keywords: order; second order; higher order; topological insulators ... See more keywords
A feasible direction algorithm for nonlinear second-order cone programs
Sign Up to like & getrecommendations! Published in 2019 at "Optimization Methods and Software"
DOI: 10.1080/10556788.2018.1506452
Abstract: ABSTRACT In this work, we present a new feasible direction algorithm for solving smooth nonlinear second-order cone programs. These consist of minimizing a nonlinear smooth objective function subject to some nonlinear second-order cone constraints. Given… read more here.
Keywords: nonlinear second; order cone; feasible direction; second order ... See more keywords