Analysis of Singular Perturbations for a Class of Interconnected Homogeneous Systems: Input-to-State Stability Approach
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DOI: 10.1016/j.ifacol.2020.12.1781
Abstract: Abstract In this work an interconnection of two singularly perturbed homogeneous systems of different degrees is considered. Under relaxed restrictions on the smoothness of the right-hand sides of the system, and some standard assumptions, the… read more here.
Keywords: singular perturbations; analysis singular; class interconnected; homogeneous systems ... See more keywords
Realization and Discretization of Asymptotically Stable Homogeneous Systems
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DOI: 10.1109/tac.2017.2699284
Abstract: Sufficient conditions for the existence and convergence to zero of numeric approximations to solutions of asymptotically stable homogeneous systems are obtained for the explicit and implicit Euler integration schemes. It is shown that the explicit… read more here.
Keywords: realization discretization; asymptotically stable; euler; homogeneous systems ... See more keywords
Centers for the Kukles homogeneous systems with even degree
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DOI: 10.11948/2017093
Abstract: For the polynomial differential system x˙ = −y, y˙ = x+Qn(x; y), where Qn(x; y) is a homogeneous polynomial of degree n there are the following two conjectures done in 1999. (1) Is it true… read more here.
Keywords: system; systems even; kukles homogeneous; even degree ... See more keywords