Irving Sánchez - Academia.edu (original) (raw)
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Papers by Irving Sánchez
Japan Geoscience Union, Mar 14, 2018
2011 8th International Conference on Electrical Engineering, Computing Science and Automatic Control, 2011
This paper deals with the Standard Truncated Carleman Bilinearization and its use to stabilize a ... more This paper deals with the Standard Truncated Carleman Bilinearization and its use to stabilize a non-linear system. The Carleman Bilinearization states that every analytic n-dimensional nonlinear system is equivalent to an infinite dimensional bilinear system. As a result, the new system is made up of a state linear, a control linear and a bilinear matrices in the state space format.
49th IEEE Conference on Decision and Control (CDC), 2010
This paper deals with the problem of the construction of a non-linear control law for an analytic... more This paper deals with the problem of the construction of a non-linear control law for an analytic non-linear system through Carleman Bilinearization by using truncated Taylor series of the original non-linear system. The non-linear control law is constructed as a linear feedback control for the bilinearized approximated system that ensures local asymptotic stability inside the attraction domain. This attraction domain increases as the order of truncated Taylor series becomes higher.
2008 5th International Conference on Electrical Engineering, Computing Science and Automatic Control, 2008
The standard Carleman linearization states that every analytic n-dimensional nonlinear systems is... more The standard Carleman linearization states that every analytic n-dimensional nonlinear systems is equivalent to an infinite dimensional linear system. In this paper we truncate this linearization and introduce some modification which reduces the error in the truncation process. We applied this modified Carleman linearization to two van der Pol oscillators with slight different frequencies. Each one is approximate by a
Current Oncology, 2021
Lung metastases are the second most common malignant neoplasms of the lung. It is estimated that ... more Lung metastases are the second most common malignant neoplasms of the lung. It is estimated that 20–54% of cancer patients have lung metastases at some point during their disease course, and at least 50% of cancer-related deaths occur at this stage. Lung metastases are widely accepted to be oligometastatic when five lesions or less occur separately in up to three organs. Stereotactic body radiation therapy (SBRT) is a noninvasive, safe, and effective treatment for metastatic lung disease in carefully selected patients. There is no current consensus on the ideal dose and fractionation for SBRT in lung metastases, and it is the subject of study in ongoing clinical trials, which examines different locations in the lung (central and peripheral). This review discusses current indications, fractionations, challenges, and technical requirements for lung SBRT.
Japan Geoscience Union, Mar 14, 2018
2011 8th International Conference on Electrical Engineering, Computing Science and Automatic Control, 2011
This paper deals with the Standard Truncated Carleman Bilinearization and its use to stabilize a ... more This paper deals with the Standard Truncated Carleman Bilinearization and its use to stabilize a non-linear system. The Carleman Bilinearization states that every analytic n-dimensional nonlinear system is equivalent to an infinite dimensional bilinear system. As a result, the new system is made up of a state linear, a control linear and a bilinear matrices in the state space format.
49th IEEE Conference on Decision and Control (CDC), 2010
This paper deals with the problem of the construction of a non-linear control law for an analytic... more This paper deals with the problem of the construction of a non-linear control law for an analytic non-linear system through Carleman Bilinearization by using truncated Taylor series of the original non-linear system. The non-linear control law is constructed as a linear feedback control for the bilinearized approximated system that ensures local asymptotic stability inside the attraction domain. This attraction domain increases as the order of truncated Taylor series becomes higher.
2008 5th International Conference on Electrical Engineering, Computing Science and Automatic Control, 2008
The standard Carleman linearization states that every analytic n-dimensional nonlinear systems is... more The standard Carleman linearization states that every analytic n-dimensional nonlinear systems is equivalent to an infinite dimensional linear system. In this paper we truncate this linearization and introduce some modification which reduces the error in the truncation process. We applied this modified Carleman linearization to two van der Pol oscillators with slight different frequencies. Each one is approximate by a
Current Oncology, 2021
Lung metastases are the second most common malignant neoplasms of the lung. It is estimated that ... more Lung metastases are the second most common malignant neoplasms of the lung. It is estimated that 20–54% of cancer patients have lung metastases at some point during their disease course, and at least 50% of cancer-related deaths occur at this stage. Lung metastases are widely accepted to be oligometastatic when five lesions or less occur separately in up to three organs. Stereotactic body radiation therapy (SBRT) is a noninvasive, safe, and effective treatment for metastatic lung disease in carefully selected patients. There is no current consensus on the ideal dose and fractionation for SBRT in lung metastases, and it is the subject of study in ongoing clinical trials, which examines different locations in the lung (central and peripheral). This review discusses current indications, fractionations, challenges, and technical requirements for lung SBRT.