Pseudospectra, stability radii and their relationship with backward error for structured nonlinear eigenvlaue problems
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DOI: 10.1002/mma.9976
Abstract: This paper discusses pseudospectra and stability radii for structured nonlinear matrix functions, such as Hermitian, skew‐Hermitian, H‐even, H‐odd, complex symmetric, and complex skew‐symmetric. To compute pseudospectra and stability radii, eigenvalue backward error is required. Hence,… read more here.
Keywords: stability radii; backward error; error; pseudospectra stability ... See more keywords
Stability radii for real linear Hamiltonian systems with perturbed dissipation
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DOI: 10.1007/s10543-017-0654-0
Abstract: We study linear dissipative Hamiltonian (DH) systems with real constant coefficients that arise in energy based modeling of dynamical systems. We analyze when such a system is on the boundary of the region of asymptotic… read more here.
Keywords: linear hamiltonian; radii real; hamiltonian systems; stability radii ... See more keywords
Stability Radii-Based Interval Observers for Discrete-Time Nonlinear Systems
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DOI: 10.1109/access.2021.3139244
Abstract: In this paper, we investigate the interval observer problem for a class of discrete-time nonlinear systems, in absence or presence of external disturbances and parametric uncertainties. The interval observers depend on the design of two… read more here.
Keywords: time; stability radii; interval observers; discrete time ... See more keywords