Properties of the solution set of absolute value equations and the related matrix classes
M Hladík - SIAM Journal on Matrix Analysis and Applications, 2023 - SIAM
The absolute value equations (AVE) problem is an algebraic problem of solving. So far, most
of the research has focused on methods for solving AVE, but we address the problem itself …
of the research has focused on methods for solving AVE, but we address the problem itself …
Bounds for deterministic and stochastic dynamical systems using sum-of-squares optimization
We describe methods for proving upper and lower bounds on infinite-time averages in
deterministic dynamical systems and on stationary expectations in stochastic systems. The …
deterministic dynamical systems and on stationary expectations in stochastic systems. The …
Dynamically consistent online adaptation of fast motions for robotic manipulators
The planning and execution of real-world robotic tasks largely depends on the ability to
generate feasible motions online in response to changing environment conditions or goals …
generate feasible motions online in response to changing environment conditions or goals …
Parameterizing Intersecting Surfaces via Invariants
We introduce and analyze numerical companion matrix methods for the reconstruction of
hypersurfaces with crossings from smooth interpolants given unordered or, without loss of …
hypersurfaces with crossings from smooth interpolants given unordered or, without loss of …
Fuzzy eigenvalue problems of structural dynamics using ANN
Eigenvalue problems with uncertainty (viz., fuzzy) may transform these into fuzzy eigenvalue
problems. An artificial neural network (ANN)-based approach has been used in this chapter …
problems. An artificial neural network (ANN)-based approach has been used in this chapter …
An approach to determine observability of nonlinear systems using interval analysis
T Paradowski, B Tibken… - 2017 American Control …, 2017 - ieeexplore.ieee.org
This paper provides an iterative interval-based algorithm which determines whether a
nonlinear system is observable on a given hyperrectangle. Many applications work with a …
nonlinear system is observable on a given hyperrectangle. Many applications work with a …
Computing the spectral decomposition of interval matrices and a study on interval matrix powers
We present an algorithm for computing a spectral decomposition of an interval matrix as an
enclosure of spectral decompositions of particular realizations of interval matrices. The …
enclosure of spectral decompositions of particular realizations of interval matrices. The …
An interval approach for robust control of a large PHWR with PID controllers
A nuclear reactor exhibits changing behavior with variation in reactor power. Further,
uncertainties in the measurement of the actual power produced by the reactor, the heat …
uncertainties in the measurement of the actual power produced by the reactor, the heat …
[PDF][PDF] A functional analytic approach to validated numerics for eigenvalues of delay equations
JP Lessard, JD Mireles James - Journal of Computational Dynamics, 2020 - par.nsf.gov
This work develops validated numerical methods for linear stability analysis at an
equilibrium solution of a system of delay differential equations (DDEs). In addition to …
equilibrium solution of a system of delay differential equations (DDEs). In addition to …
A method to rigorously enclose eigenpairs of complex interval matrices
In this paper, a rigorous computational method to enclose eigenpairs of complex interval
matrices is proposed. Each eigenpair $ x=(\lambda,\rv) $ is found by solving a nonlinear …
matrices is proposed. Each eigenpair $ x=(\lambda,\rv) $ is found by solving a nonlinear …