Search results for " Lyapunov stability"

showing 3 items of 3 documents

An Ecology and Economy Coupling Model. A global stationary state model for a sustainable economy in the Hamiltonian formalism

2020

Abstract The severity of the two deeply correlated crises, the environmental and the economic ones, needs to be faced also in theoretical terms; thus, the authors propose a model yielding a global “stationary state”, following the idea of a “steady-state economics” by Georgescu-Rogen and Herman Daly, by constructing only one dynamical system of ecological and economic coupled variables. This is possible resorting to the generalized Volterra model, that, translated in the Hamiltonian formalism and its Hamilton equations, makes possible to “conjugate” every pair of variables, one economic, the other one ecological, in describing the behavior in time of a unique dynamical system. Applying the …

Economics and Econometrics010504 meteorology & atmospheric sciencesquasiperiodic motionsStability (learning theory)“conjugate” Hamiltonian pairs010501 environmental sciences“Conjugate” Hamiltonian pairsDynamical system01 natural sciencesNewtonian dynamicsVolterra generalized modelsymbols.namesake0105 earth and related environmental sciencesGeneral Environmental ScienceMathematicsUnique dynamical system; Volterra generalized model; “conjugate” Hamiltonian pairs; quasiperiodic motions; Lyapunov stability; global stationary state.Lyapunov stabilityHamiltonian mechanicsQuasi-periodic motionEcologyglobal stationary stateGlobal stationary statePhase spacePath (graph theory)Lyapunov stabilitysymbolsUnique dynamical systemStationary state
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Impulsive control on the synchronization for a class of chaotic Systems

2014

In this paper, the impulsive control problem on the synchronization for a class of chaotic systems is discussed. Based on Lyapunov stability theory, the new impulsive synchronization strategy is presented to realize the chaos synchronization and possesses the wider scope of application. Finally the numerical simulation examples are given to demonstrate the effectiveness of our theoretical results.

Lyapunov stabilitychaos systemClass (set theory)Computer simulationSynchronization of chaoschaos system; impulsive switching; Lyapunov stability; synchronization; Electrical and Electronic Engineering; Control and Systems EngineeringLyapunov exponentimpulsive switchingSynchronizationNonlinear Sciences::Chaotic DynamicsCHAOS (operating system)symbols.namesakeControl and Systems EngineeringControl theoryLyapunov stabilitysymbolsElectrical and Electronic EngineeringLyapunov redesignsynchronizationMathematics2014 IEEE 23rd International Symposium on Industrial Electronics (ISIE)
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Hybrid Modelling and Control of a Class of Power Converters With Triangular-Carrier PWM Inputs

2021

In this paper, a new control design procedure for a class of power converters based on hybrid dynamical systems theory is presented. The continuous-time dynamics, as voltage and current signals, and discretetime dynamics, as the on-off state of the switches, are captured with a hybrid model. This model avoids the use of averaged and approximated models and includes the PWM as well as the sample-and-hold mechanism, commonly used in the industry. Then, another simplified hybrid system, whose trajectories match with the original one, is selected to design the controller and to analyse stability properties. Finally, an estimation of the chattering in steady state of the voltage and current sign…

Steady state (electronics)hybrid dynamical systemsGeneral Computer ScienceDynamical systems theoryComputer scienceSwitched affine systemsGeneral EngineeringConvertersHybrid dynamical systemsPower (physics)TK1-9971switched affine systemsSettore ING-INF/04 - AutomaticaControl theoryHybrid systemControl systemLyapunov stabilityControl of power convertersGeneral Materials SciencePWMElectrical engineering. Electronics. Nuclear engineeringControl of power converters hybrid dynamical systems Lyapunov stability PWM switched affine systemsPulse-width modulation
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