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Regularidad y estabilidad de sistemas lineales con saltos markovianos en tiempo discreto
(Pontificia Universidad Católica del Perú, 2016-06-09)
En este trabajo se analizan la regularidad y estabilidad de los sistemas lineales con saltos markovianos (SLSM). Se asume que la cadena de Markov que gobierna estos sistemas es homogénea y que su espacio de estados es ...
Rapid continuous-time identification of linear and nonlinear systems using modulation function approaches
(Pontificia Universidad Católica del Perú, 2017-03-09)
At the present, system identification through modulation functions has a wide range of
methods. Many of them have reached maturity levels that surpass customary Kalmanfilter
approaches for discrete-time identification. ...
Análisis de estabilidad de sistemas lineales singulares con saltos markovianos con probabilidades de transición parcialmente conocidas
(Pontificia Universidad Católica del Perú, 2021-11-16)
In this work sufficient conditions for stochastic stability of Markov jump linear
singular systems (MJLSS) with partially known transition probabilities are presented.
The conditions introduced are based on linear matrix ...
Optimal control for polynomial systems using the sum of squares approach
(Pontificia Universidad Católica del Perú, 2018-10-16)
The optimal control in linear systems is a widely known problem that leads to the
solution of one or two equations of Ricatti. However, in non-linear systems is required
to obtain the solution of the Hamilton-Jacobi-Bellman ...
A study of well-posedness in inverse optimal control
(Pontificia Universidad Católica del Perú, 2024-06-04)
En esta tesis de maestría, se aborda el problema de identificar los
parámetros de ponderación en las funciones de coste definidas por un
problema de control óptimo. Debido a la naturaleza del problema,
abordado como un ...
Solution of fractional linear and bilinear time invariant system via formal power series methods
(Pontificia Universidad Católica del Perú, 2018-02-20)
The area of fractional calculus is more than three centuries old but applications have only appeared in the past few decades. Differential equations of non-integer order are known to represent certain physical processes ...