Publications
238 results found
Angeli D, De Leenheer P, Sontag ED, 2005, On predator-prey systems and small-gain theorems, MATHEMATICAL BIOSCIENCES AND ENGINEERING, Vol: 2, Pages: 25-42, ISSN: 1547-1063
Angeli D, Sontag ED, De Leenheer P, 2004, A small-gain theorem for almost global convergence of monotone systems, Systems and Control Letters, Vol: 52, Pages: 407-414, ISSN: 0167-6911
Angeli D, Ingalls B, Sontag ED, et al., 2004, Uniform global asymptotic stability of differential inclusions, JOURNAL OF DYNAMICAL AND CONTROL SYSTEMS, Vol: 10, Pages: 391-412, ISSN: 1079-2724
Angeli D, 2004, An almost global notion of input-to-state stability, IEEE Trans. on Automatic Control, Vol: 49, Pages: 866-874, ISSN: 0018-9286
Casavola A, Angeli D, Mosca E, 2004, Global regulation of input-saturated discrete-time linear systems subject to persistent disturbances, European Journal of Control, Vol: 10, Pages: 228-236
Angeli D, Sontag ED, 2004, Multi-stability in monotone input/output systems, Systems & Control Letters, Vol: 51, Pages: 185-202, ISSN: 0167-6911
Angeli D, Mosca E, 2004, Adaptive switching supervisory control of nonlinear systems with no prior knowledge of noise bounds, Automatica, Vol: 40, Pages: 449-457, ISSN: 0005-1098
Angeli D, Sontag ED, Ferrell J, 2004, Detection of multistability, bifurcations, and hysteresis in a large class of biological positive feedback systems, Proceedings of the National Academy of Sciences, U.S.A, Vol: 101, Pages: 1822-1827, ISSN: 0027-8424
Angeli D, 2004, On systems with counter-clock-wise Input/Output dynamics, Pages: 2527-2532, ISSN: 0743-1546
A new Input-Output qualitative notion, closely related to passivity, is introduced for general nonlinear systems with inputs and outputs and its usefulness in proving convergence in positive feedback interconnections is investigated. This property, roughly speaking, plays for positive feedback the natural counter-part of what passivity is for negative feedback interconnections.
Angeli D, Sontag ED, 2004, An analysis of a circadian model using the small-gain approach to monotone systems, Pages: 575-578, ISSN: 0743-1546
In this note, we show how certain properties of Goldbeter's 1995 model for circadian oscillations can be proved mathematically, using techniques from the recently developed theory of monotone systems with inputs and outputs. The theory establishes global asymptotic stability, and in particular no oscillations, if the rate of transcription is somewhat smaller than that assumed by Goldbeter. This stability persists even under arbitrary delays in the feedback loop.
Angeli D, De Leeneheer P, Sontag ED, 2004, Remarks on monotonicity and convergence in chemical reaction networks, Pages: 243-248, ISSN: 0743-1546
In this note we discuss monotonicity and convergence to equilibria in certain classes of chemical reaction networks. The results do not assume any specific structure of the dynamical equations involved (e.g. mass-action kinetics), and only rely on stochiometric constraints. The idea is to find a suitable linear change of coordinates under which the resulting system is cooperative.
Angeli D, Sontag ED, Wang Y, et al., 2004, Separation principles for input-output and integral-input-to-state stability, SIAM Journal on Control and Optimization, Vol: 43, Pages: 256-276, ISSN: 0363-0129
Angeli D, Sontag ED, 2004, Interconnections of monotone systems with steady-state characteristics, Optimal control, stabilization and nonsmooth analysis, LECTURE NOTES IN CONTROL AND INFORMATION, VOL. 301, Pages: 135-154
Angeli D, Chitour Y, Marconi L, 2003, New results on robust stabilization via saturated feedback, Pages: 4445-4450, ISSN: 0191-2216
In this paper we deal with the problem of stabilization of uncertain systems in the presence of input constraint. First algebraic conditions are derived for input-to-state stability of linear system with saturated linear feedback of low dimension. Then a recursive design procedure is derived for robust stabilization of block upper triangular nonlinear systems with feedforward structure.
Bacconi F, Angeli D, Mosca E, 2003, Attitude control of asymmetric spacecrafts subject to actuator failures, Pages: 474-479
This paper provides a solution to the problem of controlling the orientation of a geostationary spacecraft, subject to actuator failures. The proposed scheme is based on a two levels Supervisory Switching Logic. It selects the most appropriate controller from a bank of candidate control laws, depending on the state of the actuators. In order to establish the working conditions of the satellite, techniques of fault detection and fault diagnosis are adopted.
Angeli D, Sontag E, 2003, A Note on Multistability and Monotone I/O Systems, Pages: 67-72, ISSN: 0191-2216
Multi-stability and hysteresis are important systems properties in many applications, and particularly in biology. This paper studies such properties in the framework of monotone systems with well-defined steady-state responses. Characterizations of global stability behavior are stated in terms of easily checkable graphical conditions.
Angeli D, Sontag ED, Wang Y, 2003, Input to state stability with respect to inputs and their derivatives, International Journal of Robust and Nonlinear Control, Vol: 13, Pages: 1035-1056
Angeli D, Sontag ED, 2003, Monotone Control Systems, IEEE Transactions on Automatic Control, Vol: 48, Pages: 1684-1698
Angeli D, 2003, Asymptotic characterizations of integral input-output to state stability, Pages: 1322-1326
We present new characterizations of integral Input-Output-to-State Stability. This is a notion of dectectability formulated in the Input-to-State Stability framework. Equivalent properties are discussed in terms Lyapunov dissipation inequalities and asymptotic estimates of the state variables on the basis of external information provided by input and output signals.
Angeli D, 2003, Some remarks on density functions for dual Lyapunov methods, Pages: 5080-5082, ISSN: 0743-1546
New results on the structure of density functions for almost global stability analysis of nonlinear systems are discussed. In particular, it is shown how the smoothness constraint poses, under certain technical assumptions, a serious challenge in the construction of density functions which are almost everywhere expanding along the flow.
Angeli D, 2002, An almost global notion of input-to-state stability, Pages: 4264-4269, ISSN: 0191-2216
A new definition of almost global Input-to-state stability for systems on differentiable manifolds is discussed. Some of its properties are investigated and specific examples are shown which can be treated by means of dual Lyapunov techniques.
Angeli D, Casavola A, Mosca E, 2002, Ellipsoidal low-demanding MPC schemes for uncertain polytopic discrete-time systems, Pages: 2935-2940, ISSN: 0191-2216
A MPC method based on ellipsoidal calculus is described in order to address control problems in the presence of state and input constraints for uncertain polytopic linear plants under persistent disturbances. In order to reduce the usually high numerical complexity and conservatism associated to polytopic robust MPC schemes the present approach consists of moving off-line most part of the computational burden and using closed-loop predictions. An example is also presented.
Nešić D, Angeli D, 2002, Integral versions of ISS for sampled-data nonlinear systems via their approximate discrete-time models, IEEE Transactions on Automatic Control, Vol: 47, Pages: 2033-2037, ISSN: 0018-9286
Two integral versions of input to state stability are considered: integral input-to-state stability (iISS) and integral input-to-integral-state stability- (iIiSS). We present sufficient conditions that guarantee that if a controller achieves semiglobal practical iISS (respectively, iIiSS) of an approximate discrete-time model of a nonlinear sampled-data system, then the same controller achieves semiglobal practical iISS (respectively, iIiSS) of the exact discrete-time model by reducing the sampling period. Recent results on numerical methods for systems with measurable disturbances can be used to generate approximate models that we consider. Results are presented for arbitrary dynamic controllers that can be discontinuous in general.
Angeli D, Mosca E, 2002, Adaptive switching supervisory control of nonlinear systems with no prior knowledge of noise bounds, Pages: 1187-1192, ISSN: 0191-2216
The problem of controlling nonlinear uncertain noisy systems 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. A Lyapunov-based falsification criterion allows one to ensure robust stability in the presence of uncertain constant parameters and exogenous bounded disturbances.
Angeli D, Sontag ED, 2002, A remark on monotone control systems, Pages: 1876-1881, ISSN: 0191-2216
Monotone systems constitute one of the most important classes of dynamical systems used in mathematical biology modeling. The objective of this paper is to extend the notion of monotonicity to systems with inputs and outputs, a necessary first step in trying to understand interconnections, especially including feedback loops, built up out of monotone components. Basic definitions and theorems are provided, as well as an application to the study of a model of one of the cell's most important subsystems.
Arcak M, Angeli D, Sontag E, 2002, A unifying integral ISS framework for stability of nonlinear cascades, SIAM Journal on Control and Optimization, Vol: 40, Pages: 1888-1904, ISSN: 0363-0129
We analyze nonlinear cascades in which the driven subsystem is integral input-to-state stable (ISS), and we characterize the admissible integral ISS gains for stability. This characterization makes use of the convergence speed of the driving subsystem and allows a larger class of gain functions when the convergence is faster. We show that our integral ISS gain characterization unifies different approaches in the literature which restrict the nonlinear growth of the driven subsystem and the convergence speed of the driving subsystem. The result is used to develop a new observer-based backstepping design in which the growth of the nonlinear damping terms is reduced.
Angeli D, Nesic D, 2002, Inegral versions of ISS for sampled-data nonlinear systems via their approximate discrete time models, IEEE Transactions on Automatic Control, Vol: 47, Pages: 2033-2037
Angeli D, Nesic D, 2002, A trajectory-based approach for the stability robustness of nonlinear systems with inputs, Mathematics of Control Signals and Systems, Vol: 15, Pages: 336-355
Angeli D, 2002, A Lyapunov approach to incremental stability properties, IEEE Transactions on Automatic Control, Vol: 47, Pages: 410-421, ISSN: 0018-9286
This paper deals with several notions of incremental stability. In other words, the focus is on stability of trajectories with respect to one another, rather than with respect to some attractor. The aim is to present a framework for understanding such questions fully compatible with the well-known input-to-state stability (ISS) approach. Applications of the newly introduced stability notions are also discussed.
Angeli D, Mosca E, 2002, Lyapunov-based switching supervisory control of nonlinear uncertain systems, IEEE Transactions on Automatic Control, Vol: 47, Pages: 500-505, ISSN: 0018-9286
Switching supervisory control (SSC) algorithms was developed for nonlinear plants with uncertain parameters and subjected to unaccessible persistent disturbances of known maximum size. The algorithm provided that full state feedback was available and can be tailored for linear plant dynamics. A simulative example was presented which showed that the algorithm was capable to cope with slowly time-varying and piecewise constant parameters.
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