Search results for " Asymptotic stability"

showing 3 items of 3 documents

A saturated strategy robustly ensures stability of the cooperative equilibrium for Prisoner's dilemma

2016

We study diffusion of cooperation in a two-population game in continuous time. At each instant, the game involves two random individuals, one from each population. The game has the structure of a Prisoner's dilemma where each player can choose either to cooperate (c) or to defect (d), and is reframed within the field of approachability in two-player repeated game with vector payoffs. We turn the game into a dynamical system, which is positive, and propose a saturated strategy that ensures local asymptotic stability of the equilibrium (c, c) for any possible choice of the payoff matrix. We show that there exists a rectangle, in the space of payoffs, which is positively invariant for the syst…

Computer Science::Computer Science and Game Theory0209 industrial biotechnologyControl and OptimizationSymmetric gameNormal-form gameStochastic gameSymmetric equilibrium02 engineering and technologyPrisoner's dilemma01 natural sciences010104 statistics & probability020901 industrial engineering & automationStrategySettore ING-INF/04 - AutomaticaArtificial IntelligenceRepeated gameDecision Sciences (miscellaneous)Simultaneous gameSettore MAT/09 - Ricerca Operativa0101 mathematicsMathematical economicsGames Sociology Statistics Trajectory Asymptotic stability Jacobian matricesArtificial Intelligence; Decision Sciences (miscellaneous); Control and OptimizationMathematics2016 IEEE 55th Conference on Decision and Control (CDC)
researchProduct

On integral input-to-state stability for a feedback interconnection of parameterised discrete-time systems

2014

This paper addresses integral input-to-state stability iISS for a feedback interconnection of parameterised discrete-time systems involving two subsystems. Particularly, we give a construction for a smooth iISS Lyapunov function for the whole system from the sum of nonlinearly weighted Lyapunov functions of individual subsystems. Motivations for such a construction are given. We consider two main cases. The first one investigates iISS for the whole system when both subsystems are iISS. The second one gives iISS for the interconnected system when one of subsystems is allowed to be input-to-state stable. The approach is also valid for both discrete-time cascades and a feedback interconnection…

Lyapunov functionsmall-gain conditions0209 industrial biotechnologyInterconnectionStability (learning theory)Computer Science Applications1707 Computer Vision and Pattern Recognition02 engineering and technologyState (functional analysis)Computer Science ApplicationsWhole systems0-global asymptotic stabilityTheoretical Computer Scienceinput-to-state stabilitysymbols.namesakeparameterised discrete-time systems020901 industrial engineering & automationDiscrete time and continuous timeControl theoryControl and Systems Engineering0202 electrical engineering electronic engineering information engineeringsymbols020201 artificial intelligence & image processing0-global asymptotic stability; input-to-state stability; integral input-to-state stability; parameterised discrete-time systems; small-gain conditions; Control and Systems Engineering; Theoretical Computer Science; Computer Science Applications1707 Computer Vision and Pattern Recognitionintegral input-to-state stabilityMathematics
researchProduct

Fuzzy cooperative control of automated ground passenger vehicles

2007

In this paper a fuzzy motion control for cooperative passenger automated vehicles where there are not collisions between the closest ones is proposed. Based on the position of the target and on the initial position of each cooperative vehicle, a supervisory plans nonholonomic circular trajectories which are without intersections, while a fuzzy control strategy assures the asymptotical stability of the motion errors and the reaching of the target with low acceleration values along the planned trajectories. Based on the ISO 2631-1 standard, the saturation properties of the fuzzy maps guarantees low values of the longitudinal and lateral accelerations to assure the comfort of the passengers. T…

Nonholonomic systemEngineeringFuzzy control Automatic control Land vehicles Road vehicles Trajectory Acceleration ISO standards Motion control Motion planning Asymptotic stabilitybusiness.industryStability (learning theory)Control engineeringFuzzy control systemMotion controlFuzzy logicComputer Science::RoboticsAccelerationSettore ING-INF/04 - AutomaticaExponential stabilityControl theoryPosition (vector)business2007 IEEE Conference on Emerging Technologies & Factory Automation (EFTA 2007)
researchProduct