Search results for "Circle criterion"

showing 3 items of 3 documents

On stability of linear dynamic systems with hysteresis feedback

2020

The stability of linear dynamic systems with hysteresis in feedback is considered. While the absolute stability for memoryless nonlinearities (known as Lure's problem) can be proved by the well-known circle criterion, the multivalued rate-independent hysteresis poses significant challenges for feedback systems, especially for proof of convergence to an equilibrium state correspondingly set. The dissipative behavior of clockwise input-output hysteresis is considered with two boundary cases of energy losses at reversal cycles. For upper boundary cases of maximal (parallelogram shape) hysteresis loop, an equivalent transformation of the closed-loop system is provided. This allows for the appli…

0209 industrial biotechnologyThermodynamic equilibriumApplied Mathematics020208 electrical & electronic engineeringMathematical analysis02 engineering and technologySystems and Control (eess.SY)Invariant (physics)Electrical Engineering and Systems Science - Systems and ControlVDP::Mathematics and natural scienses: 400Nonlinear systemHysteresis020901 industrial engineering & automationModeling and Simulation0202 electrical engineering electronic engineering information engineeringDissipative systemFOS: Electrical engineering electronic engineering information engineeringCircle criterionParallelogramVDP::Matematikk og naturvitenskap: 400Harmonic oscillatorMathematics
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Robust Finite-Time Control of Switched Linear Systems and Application to a Class of Servomechanism Systems

2015

This paper investigates finite-time (FT) stability and stabilization problems for a class of switched linear systems with polytopic uncertainties. Both stable and unstable subsystems are considered to coexist in the system, and a new concept of extended FT stability is proposed as the first attempt. A stability criterion is first established, where the admissible maximum switching number is obtained while ensuring extended FT stability of switched linear systems with time-varying delays under a given maximum ratio between the running time of unstable subsystems and the running time of stable subsystems. Sufficient conditions on the existence of desired memory state-feedback controllers are …

Class (set theory)Stability criterionLinear systemServomechanismStability (probability)Computer Science Applicationslaw.inventionExponential stabilityControl and Systems EngineeringlawControl theoryCircle criterionElectrical and Electronic EngineeringNumerical stabilityMathematicsIEEE/ASME Transactions on Mechatronics
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Exponential stability analysis of Markovian jump nonlinear systems with mixed time delays and partially known transition probabilities

2013

In this paper, the problem of exponential stability is studied for a class of Markovian jump neutral nonlinear systems with mixed neutral and discrete time delays. By Lyapunov-Krasovskii function approach, a novel mean-square exponential stability criterion is derived for the situation that the system's transition rates are partially or completely accessible. Finally, some numerical examples are provided to illustrate the effectiveness of the proposed methods.

Time delayssymbols.namesakeNonlinear systemMarkovian jumpDiscrete time and continuous timeExponential stabilityControl theorysymbolsApplied mathematicsMarkov processCircle criterionFunction (mathematics)Mathematics2013 XXIV International Conference on Information, Communication and Automation Technologies (ICAT)
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