Rodolfo Suárez's research while affiliated with Metropolitan Autonomous University and other places

... The performance degradation caused by input constraints has motivated many studies, where simultaneous approaches are developed to improve the performance of closed-loop systems. For a specific class of chemical processes [Alvarez et al., 1991, 1993, Barron et al., 1997, Barrón and Aguilar, 1998], the bounded control problem has been studied using nonlinear state-feedback, where the fundamental idea is that the controller makes the desired steady state (stable or unstable) a globally and asymptotically stable attractor without saturation. Although the conditions to exclude equilibrium points induced by saturation are established for a class of continuous reactors, it is not straightforward to propose a general extension. ...

... In general, the problem of stabilizing system (1) is strongly related to the particular characteristics of the CVS U , such as the smoothness of its boundary ∂U . In the literature of CLF theory there are stabilization studies of affine systems (1), for a CVS U bounded and strictly convex, with a smooth ∂U boundary, articles [11,[16][17][18] and [21] correspond to this case. ...

... For such systems, a linear programming approach is considered in [12]. Stabilizing controls based on matrix inequalities have been considered in [13][14][15]. ...

... En cuanto a la consideración de un control saturado, consultar (Suárez y Álvarez, 1995) para un estudio detallado de sistemas realimentados que incluyen una saturación en el control. ...

... Due to the Edge Theorem the segment stability criterions are of great importance. This problem has been considered in the works [2][3][4][5][6][7][8]. ...

... Given the system (1) with control value set given by the hyperbox H , by means of a Lyapunov function V (x), a design of admissible feedback functions is explicitly presented in [8], with the property of being continuous, sub-optimal and decentralized. ...

... In recent years, theoretical modelling and stability analysis are generally applied to reveal the underlying biophysical mechanism [25][26][27]. In order to explore the dynamic mechanism of NF-κB oscillation, many theoretical models are put forward to describe the chemical reaction in NF-κB pathway [24,[28][29][30][31]. ...

... Theoretical development Solís-Daun et al. (1999) Stability of a dynamic system subject to uncertainty. Optimal feedback control as a function of parameters. ...

... On the other side, random motion of a system in a chaotic situation was considered to be unfavorable in engineering fields. Therefore, many efforts were given to eliminate or control chaos in the systems, which led to launching the work on chaos control in 1990 such as the OGY (Ott, Gerbogi and York) control method [8], linear feedback control [9], [10], time delay feedback control [4], [11], [12] and some others were reported: the control of chaos such as sliding mode control [13][14][15][16][17], fuzzy control [18][19][20][21][22], polynomial approach [23] high order sliding mode control [24] and harmonic approach [25], [26], etc. Many researchers have been addressed the control of Chua's circuit, in several control methodologies. ...

... Herein, considering the theoretical result by Hartman-Grobman theorem [17] stating that an equilibrium point of a non-linear system has the same qualitative behaviour with that of its linearised version at this equilibrium point when no eigenvalue of the Jacobian exists at the imaginary axis, the (local) instability and asymptotic stability of an equilibrium point of the non-linear system are decided by means of checking the eigenvalues of the Jacobian of the linearised system. A user friendly bifurcation analysis tool with a MATLAB GUI may be developed based on the applied root-locus-based bifurcation analysis, which can be combined with the already available bifurcation analysis tools such as MATCONT indicating certain types of bifurcation points and bifurcation curves and also with the available bifurcation analysis methods identifying the existence and non-existence of periodic, quasi-periodic, and even chaotic behaviours for a considered parameter region [17][18][19][20][21]. ...