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562,236
The Ant System: Optimization by a colony of cooperating agents
 IEEE TRANSACTIONS ON SYSTEMS, MAN, AND CYBERNETICSPART B
, 1996
"... An analogy with the way ant colonies function has suggested the definition of a new computational paradigm, which we call Ant System. We propose it as a viable new approach to stochastic combinatorial optimization. The main characteristics of this model are positive feedback, distributed computation ..."
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Cited by 1247 (45 self)
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computation, and the use of a constructive greedy heuristic. Positive feedback accounts for rapid discovery of good solutions, distributed computation avoids premature convergence, and the greedy heuristic helps find acceptable solutions in the early stages of the search process. We apply the proposed
Feedback Solutions for a Class of Quantum Control Problems
, 2008
"... Abstract Control of quantum systems described by the linear Schrödinger equation are considered. Control inputs enter through coupling operators and results in a bilinear control system. Feedback control laws are developed for orbit tracking. The sysmptotic properties of the feedback laws are analy ..."
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Abstract Control of quantum systems described by the linear Schrödinger equation are considered. Control inputs enter through coupling operators and results in a bilinear control system. Feedback control laws are developed for orbit tracking. The sysmptotic properties of the feedback laws
Asymptotic properties of feedback solutions for a class of quantum control problems
 in "SIAM J. Control Optim
"... Abstract Control of quantum systems described by the Schrödinger equation are considered. Feedback control laws are developed for orbit tracking via controlled Hamiltonians and their asymptotic properties are analyzed. Numerical integrations via timesplitting is also investigated and used to demo ..."
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Cited by 3 (1 self)
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Abstract Control of quantum systems described by the Schrödinger equation are considered. Feedback control laws are developed for orbit tracking via controlled Hamiltonians and their asymptotic properties are analyzed. Numerical integrations via timesplitting is also investigated and used
NONLINEAR FEEDBACK SOLUTION FOR MINIMUMTIME INTERCEPT WITH CONSTANT THRUST ACCELERATION
, 1966
"... The instantaneous thrustdirection for a missile to carry out a minimumtime intercept with a nonmaneuvering target is determined as a function of instantaneous relative velocity and position. The magnitude of the thrust acceleration is assumed constant and the acceleration due to external forces i ..."
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The instantaneous thrustdirection for a missile to carry out a minimumtime intercept with a nonmaneuvering target is determined as a function of instantaneous relative velocity and position. The magnitude of the thrust acceleration is assumed constant and the acceleration due to external forces is neglected. This sixcoordinate problem (three relative position coordinates and three relative velocity coordinates) can be reduced to a problem in two coordinates, namely V 2/2ar and y, where a is the magnitude of the thrust acceleration, V is the magnitude of the relative velocity, r is the distance between the missile and the target, and y is the angle between the relative velocity vector and the lineofsight between the missile and the target. Natural quantities to measure during the intercept maneuver are r, r, and a, where a is the rate of rotation of the line of sight relative to a
On the Feedback Solution of a Differential Oligopoly Game with Hyperbolic Demand and Capacity
, 2010
"... 1I would like to thank Davide Dragone and Arsen Palestini for stimulating discussions and insightful suggestions. The usual disclaimer applies. I characterise the subgame perfect equilibrium of a differential market game with hyperbolic demand where firms are quantitysetters and accumulate capacit ..."
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pacity over time a ̀ la Ramsey. I show that the openloop solution is subgame perfect. Then, I analyse the feasibility of horizontal mergers, and compare the result generated by the dynamic setup with the merger incentive associated with the static model. It appears that allowing for the role of time makes
On the Feedback Solutions of Di¤erential Oligopoly Games with Hyperbolic Demand Curve and
, 2013
"... 1We would like to thank Davide Dragone and Alessandro Tampieri for stimulating discussions and insightful suggestions. The usual disclaimer applies. We characterise the subgame perfect equilibrium of a di¤erential market game with hyperbolic inverse demand where
rms are quantitysetters and accumu ..."
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1We would like to thank Davide Dragone and Alessandro Tampieri for stimulating discussions and insightful suggestions. The usual disclaimer applies. We characterise the subgame perfect equilibrium of a di¤erential market game with hyperbolic inverse demand where
rms are quantitysetters and accumulate capacity over time à la Ramsey. The related HamiltonJacobiBellman are solved in closed form both on in
nite and on
nite horizon setups and the optimal strategies are determined. Then, we analyse the feasibility of horizontal mergers in both static and dynamic settings, and nd appropriate conditions for their pro
tability under both circumstances. Static pro
tability of a merger implies dynamic pro
tability of the same merger. It appears that such a demand structure makes mergers more likely to occur than they would on the basis of the standard linear inverse demand. JEL Classi
cation: C73, L13
Feedback Control RealTime Scheduling: Framework, Modeling, and Algorithms
 Journal of RealTime Systems, Special Issue on ControlTheoretical Approaches to RealTime Computing
, 2002
"... This paper presents a feedback control realtime scheduling (FCS) framework for adaptive realtime systems. An advantage of the FCS framework is its use of feedback control theory (rather than ad hoc solutions) as a scientific underpinning. We apply a control theory based methodology to systematical ..."
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Cited by 271 (47 self)
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This paper presents a feedback control realtime scheduling (FCS) framework for adaptive realtime systems. An advantage of the FCS framework is its use of feedback control theory (rather than ad hoc solutions) as a scientific underpinning. We apply a control theory based methodology
Distributed Optimization by Ant Colonies
, 1991
"... Ants colonies exhibit very interesting behaviours: even if a single ant only has simple capabilities, the behaviour of a whole ant colony is highly structured. This is the result of coordinated interactions. But, as communication possibilities among ants are very limited, interactions must be based ..."
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Cited by 328 (22 self)
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on very simple flows of information. In this paper we explore the implications that the study of ants behaviour can have on problem solving and optimization. We introduce a distributed problem solving environment and propose its use to search for a solution to the travelling salesman problem. The problem
Construction and parameterization of all static and dynamic H 2 optimal state feedback solutions for discrete time systems
 Automatica
, 1994
"... Key WordsOptimal control; control theory; discretetime systems. AbstractThis paper considers an H2 optimization problem via state feedback for discretetime systems. The class of problems dealt with here has a left invertible transfer matrix function from the control input to the controlled out ..."
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Cited by 6 (3 self)
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output. The paper constructs and parameterizes all the static and dynamic HEoptimal state feedback solutions. Moreover, all the eigenvalues of an optimal closedloop system are characterized. All optimal closedloop systems share a set of eigenvalues which are termed the optimalfixed modes. Every HE
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