Publications
238 results found
Angeli D, Bliman P-A, 2009, CONVERGENCE SPEED OF UNSTEADY DISTRIBUTED CONSENSUS: DECAY ESTIMATE ALONG THE SETTLING SPANNING-TREES, SIAM JOURNAL ON CONTROL AND OPTIMIZATION, Vol: 48, Pages: 1-32, ISSN: 0363-0129
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- Citations: 45
Angeli D, Bliman PAJ, 2008, Tight estimates for non-stationary consensus with fixed underlying spanning tree, ISSN: 1474-6670
This article is devoted to estimating the speed of convergence towards consensus for a general class of discrete-time multi-agent systems. In the systems considered here, both the topology of the interconnection graph and the weight of the arcs are allowed to vary as a function of time. Under the hypothesis that some spanning tree structure is preserved along time, and that some nonzero minimal weight of the information transfer along this tree is guaranteed, an estimate of the contraction rate is given. The latter is expressed explicitly as the spectral radius of some matrix depending upon the tree depth and the lower bounds on the weights. Copyright © 2007 International Federation of Automatic Control All Rights Reserved.
Angeli D, Casavola A, Franzè G, et al., 2008, An ellipsoidal off-line MPC scheme for uncertain polytopic discrete-time systems, Automatica, Vol: 44, Pages: 3113-3119, ISSN: 0005-1098
An off-line Model Predictive Control (MPC) method based on ellipsoidal calculus and viability theory is described in order to address control problems in the presence of state and input constraints for uncertain polytopic linear plants subject to persistent disturbances. In order to reduce the computational burdens and conservativeness of traditional polytopic MPC schemes, the present approach carries out off-line most of the computations and it makes use of closed-loop predictions to improve the control performance. This is done by recursively pre-computing suitable ellipsoidal inner approximations of the exact controllable sets and solving on-line a simple and numerically low-demanding optimization problem subject to a set-membership constraint. Comparisons with three other recent off-line MPC approaches are also provided in the final example. © 2008 Elsevier Ltd. All rights reserved.
Angeli D, Bliman P-A, 2008, Tight estimates for convergence of some non-stationary consensus algorithms, SYSTEMS & CONTROL LETTERS, Vol: 57, Pages: 996-1004, ISSN: 0167-6911
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- Citations: 14
Angeli D, Chaillet A, 2008, Integral Input to State Stable Systems in Cascade, Systems & Control Letters, Vol: 57, Pages: 519-527
Sontag ED, Angeli D, 2008, Translation-invariant monotone systems, and a global convergence result for enzymatic futile cycles, Nonlinear Analysis: Real World Applications, Vol: 9, Pages: 128-140, ISSN: 1468-1218
Angeli D, 2008, On modularity and persistence of chemical reaction networks, 47th IEEE Conference on Decision and Control, Publisher: IEEE, Pages: 13-18, ISSN: 0191-2216
Angeli D, 2008, Input-Output instability patterns of Chemical Reaction Networks, 47th IEEE Conference on Decision and Control, Publisher: IEEE, Pages: 19-24, ISSN: 0191-2216
De Leenheer P, Sontag ED, Angeli D, 2007, A Petri Net approach to the study of persistence in chemical reaction networks, Mathematical Biosciences, Vol: 210, Pages: 598-618, ISSN: 0025-5564
Angeli D, Mosca E, Manuelli C, 2007, Data-based supervisory control of uncertain systems with application to automatic drug delivery for anesthesia, Automatica, Vol: 43, Pages: 1289-1295, ISSN: 0005-1098
Angeli D, 2007, Multistability in systems with counter-clockwise input-output dynamics, IEEE Transactions on Automatic Control, Vol: 52, Pages: 596-609, ISSN: 0018-9286
De Leenheer P, Sontag ED, Angeli D, 2007, Monotone chemical reaction networks, Journal of Mathematical Chemistry, Vol: 41, Pages: 295-314
Angeli D, Bliman PA, 2007, Convergence speed of distributed consensus and topology of the associated information spread, Pages: 300-305, ISSN: 0743-1546
Results for estimating the convergence rate of non-stationary distributed consensus algorithms are provided, on the basis of qualitative (mainly topological) as well as basic quantitative information (lower-bounds on the matrix entries). The results appear to be tight in a number of instances and are illustrated through simple as well as more sophisticated examples. The main idea is to follow propagation of information along certain spanning trees which arise in the communication graph. © 2007 IEEE.
Angeli D, De Leenheer P, Sontag E, 2007, Petri nets tools for the analysis of persistence in chemical networks, Pages: 721-726, ISSN: 1474-6670
Persistence is the property, for positive systems, that solutions starting in the interior of the positive orthant do not approach its boundary. This paper provides checkable necessary as well as sufficient conditions for persistence in reaction networks, using concepts from Petri net theory, and verifies these conditions on an example which arise in biochemistry. Copyright © 2007 IFAC.
Angeli D, Astolfi A, 2007, A tight small-gain theorem for not necessarily ISS systems, SYSTEMS & CONTROL LETTERS, Vol: 56, Pages: 87-91, ISSN: 0167-6911
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- Citations: 66
Angeli D, De Leenheer P, Sontag ED, 2007, A Petri net approach to persistence analysis in chemical reaction networks, BIOLOGY AND CONTROL THEORY: CURRENT CHALLENGES, LECTURE NOTES IN CONTROL AND INFORMATION SCIENCES, Vol. 357, Pages: 181-216, ISBN: 978-3-540-71987-8
Angeli D, Sontag ED, 2006, A note on monotone systems with positive translation invariance
We show that strongly monotone systems of ordinary differential equations which have a certain translation-invariance property are so that all solutions converge to a unique equilibrium. The result may be seen as a dual of a well-known theorem of Mierczynski for systems that satisfy a conservation law. An application to a reaction of interest in biochemistry is provided as an illustration.
Angeli D, Bliman P-A, 2006, Stability of leaderless discrete-time multi-agent systems, MATHEMATICS OF CONTROL SIGNALS AND SYSTEMS, Vol: 18, Pages: 293-322
Angeli D, 2006, Systems with counterclockwise input-output dynamics, IEEE Transactions on Automatic Control, Vol: 51, Pages: 1130-1143, ISSN: 0018-9286
Angeli D, De Leenheer P, Sontag ED, 2006, Crowding effects promote coexistence in the chemostat, Journal of Mathematical Analysis and Applications, Vol: 319, Pages: 48-60, ISSN: 0022-247X
Angeli D, 2006, New analysis technique for multistability detection, IEE PROCEEDINGS SYSTEMS BIOLOGY, Vol: 153, Pages: 61-69, ISSN: 1741-2471
Angeli D, De Leenheer P, Sontag ED, 2006, On the structural monotonicity of chemical reaction networks, Pages: 7-12, ISSN: 0743-1546
This paper derives new results for certain classes of chemical reaction networks, linking structural to dynamical properties. In particular, it investigates their monotonicity and convergence without making assumptions on the structure (e.g., mass-action kinetics) of the dynamical equations involved, and relying only on stoichiometric constraints. The key idea is to find a suitable set of coordinates under which the resulting system is cooperative. As a simple example, the paper shows that a phosphorylation/dephosphorylation process, which is involved in many signaling cascades, has a global stability property. © 2006 IEEE.
Angeli D, Johnson R, 2006, How to represent flows on immersions, Pages: 5845-5850, ISSN: 0743-1546
Motivated by the study of the topological properties of the flow on the boundary of the basin of attraction of asymptotically stable equilibria and limit cycles, we provide a set of sufficient conditions which allow to interpret the flow on a possibly exotic set, as the push-forward, through a suitable map (for instance an immersion), of a corresponding flow defined on a compact manifold without boundary. ©2006 IEEE.
De Leenheer P, Angeli D, 2005, Monotonicity and convergence in chemical reaction networks, Pages: 2362-2367
In this note we discuss monotonicity and convergence to equilibria of certain classes -to be specified below-of chemical reaction networks. The results do not assume any particular form for the kinetics of the reactions (such as mass action kinetics) and only rely on stoichiometric constraints. They imply in particular that the Zero Deficiency Theorem -which does assume mass action kinetics- remains valid for a more general class of networks. This suggests a robustness property of this classical result. © 2005 IEEE.
Angeli D, Bliman PA, 2005, Extension of a result by Moreau on stability of leaderless multi-agent systems, Pages: 759-764
The paper presents a result which relates connectedness of the interaction graphs in a multi-agent systems with the capability for global convergence to a common equilibrium of the system. In particular we extend a previously known result by Moreau by including the possibility of arbitrary bounded time-delays in the communication channels and relaxing the convexity of the allowed regions for the state transition map of each agent. © 2005 IEEE.
Angeli D, 2005, A new mechanism for bistability in chemical reaction networks, Pages: 3705-3710
Systems with counter-clockwise Input-Output dynamics were recently introduced in order to study convergence of positive feedback loops (possibly to many different equilibrium states). The paper shows how this notion can be used in order to perform bifurcation analysis and globally predict multistability of a closed-loop feedback interconnetion just by using the knowledge of steady-state Input-Output responses of the systems. To illustrate the theory our method is then applied to a recently published model of MAPK cascade. Furthermore, a library of examples (mainly motivated by molecular biology) of systems which are guaranteed to enjoy the property is presented and discussed. © 2005 IEEE.
Angeli D, Chitour Y, Marconi L, 2005, Robust stabilization via saturated feedback, IEEE Transactions on Automatic Control, Vol: 50, Pages: 1997-2014, ISSN: 0018-9286
Angeli D, Astolfi A, 2005, A Tight Small-Gain Theorem for Not Necessarily ISS Systems, Pages: 5427-5431
Angeli D, Liberzon D, Hespanha J, et al., 2005, Nonlinear norm-observability notions and stability of switched systems, IEEE Transactions on Automatic Control, Vol: 50, Pages: 154-168, ISSN: 0018-9286
Angeli D, Manuelli C, Mosca E, 2005, Adaptive switching control of quadratically stabilizable uncertain systems with an anesthesia application, Pages: 79-84, ISSN: 1474-6670
The problem of controlling nonlinear noisy systems affected by large possibly non-parametric uncertainties is approached via the introduction of a supervisor which, whenever needed, switches on, in feedback to the plant, a controller selected from a finite set of predesigned controllers. An application to automatic drug delivery for anesthesia is presented to illustrate the method. Copyright © 2005 IFAC.
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