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Lyapunov Stability

Fuzzy Lyapunov stability and exponential stability in control ‎systems‎

Fuzzy Lyapunov stability and exponential stability in control ‎systems‎

... dangerous, stability is the most important requirement for any control system (including fuzzy control ...of stability for control systems: Lyapunov stability (a special case of which is ...

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Adaptive Control of an Electrostatic Micro Actuator with Unbounded Dynamic Uncertainties based on Lyapunov Stability Criterion

Adaptive Control of an Electrostatic Micro Actuator with Unbounded Dynamic Uncertainties based on Lyapunov Stability Criterion

... on Lyapunov stability criterion. In this purpose, a novel Lyapunov function candidate is satisfied conditions of the Lyapunov stability ...

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Three-axis Attitude Control Design For A Spacecraft Based On Lyapunov Stability Criteria

Three-axis Attitude Control Design For A Spacecraft Based On Lyapunov Stability Criteria

... Abstract. A three-axis attitude control design, based on Lyapunov stability criteria, to stabilize spacecraft and orient it to its desired altitude, is presented in this paper. This attitude control system ...

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Lyapunov stability in an evolutionary game theory model of the labor market

Lyapunov stability in an evolutionary game theory model of the labor market

... In this vein the model presented here accommodates a varied growth experience of both developed and less developed economies, in which both technological adoption and labour skills play a crucial role in the ...

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Lyapunov Stability in an Evolutionary Game Theory Model of the Labor Market

Lyapunov Stability in an Evolutionary Game Theory Model of the Labor Market

... In this vein the model presented here accommodates a varied growth experience of both developed and less developed economies, in which both technological adoption and labor skills play a crucial role in the determination ...

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Existence and Lyapunov Stability of Periodic Solutions for Generalized Higher-Order Neutral Differential Equations

Existence and Lyapunov Stability of Periodic Solutions for Generalized Higher-Order Neutral Differential Equations

... Since the neutral operator is divided into two cases |c| / 1 and |c| 1, it is natural to study the neutral differential equation separately according to these two cases. The case |c| 1 has been studied in 5. Now we ...

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TIME-VARYING LYAPUNOV FUNCTIONS AND LYAPUNOV STABILITY OF NONAUTONOMOUS FRACTIONAL ORDER SYSTEMS

TIME-VARYING LYAPUNOV FUNCTIONS AND LYAPUNOV STABILITY OF NONAUTONOMOUS FRACTIONAL ORDER SYSTEMS

... time-varying Lyapunov functions for the Lyapunov stability analysis of fractional order ...time-varying Lyapunov functions to analyse the stability of nonautonomous fractional order ...

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Lyapunov stability for piecewise affine systems via cone-copositivity

Lyapunov stability for piecewise affine systems via cone-copositivity

... quadratic Lyapunov functions (PWQ-LFs) for the stability analysis of continuous-time piecewise affine (PWA) systems are ...asymptotic stability result for PWA systems is then obtained by finding a ...

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Lyapunov Stability Analysis of Certain Third Order Nonlinear Differential Equations

Lyapunov Stability Analysis of Certain Third Order Nonlinear Differential Equations

... a Lyapunov function for a second order linear system of or- dinary differential equation using a quadratic ...a Lyapunov function for a third order linear ODE of the form ...

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A Pneumatic Active-Surface Device: Prototype Design and Lyapunov Stability Analysis

A Pneumatic Active-Surface Device: Prototype Design and Lyapunov Stability Analysis

... The next important explanation is a Lyapunov-based stability analysis of a rigid object in the vertical orientation, which showed increased stability of the objects on the PASD due to th[r] ...

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Solutions to Lyapunov stability problems of sets: nonlinear systems with differentiable motions

Solutions to Lyapunov stability problems of sets: nonlinear systems with differentiable motions

... In order.for a compact invariant set J of the system 3.lab with the Weak Smoothness Property to be asymptotically stable it is both necessary and sufficient that 1 for arbitrarily select[r] ...

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Lyapunov stability solutions of fractional integrodifferential equations

Lyapunov stability solutions of fractional integrodifferential equations

... In this paper, we are concerned with the stability and asymptotic stability, in the sense of Lyapunov, for the solution of the fractional integrodiffrential equations (1.1) and (1.2). We will assume ...

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Lyapunov Stability of Quasilinear Implicit Dynamic Equations on Time Scales

Lyapunov Stability of Quasilinear Implicit Dynamic Equations on Time Scales

... both theory and practice. This problem can be seen in many real problems, such as in electric circuits, chemical reactions, and vehicle systems. M¨arz in 1 has dealt with the question whether the zero-solution of 1.1 is ...

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Solutions to Lyapunov stability problems: nonlinear systems with continuous motions

Solutions to Lyapunov stability problems: nonlinear systems with continuous motions

... For the state x 0 of the system 3.1 possessing Weak Smoothness Property to be asymptotically stable it is both necessary and sufficient that for any positive definite function p ES;f the[r] ...

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Index Terms --nonlinear systems, stability analysis, Lyapunov functions, higher order derivatives, homogeneous systems.

Index Terms --nonlinear systems, stability analysis, Lyapunov functions, higher order derivatives, homogeneous systems.

... the Lyapunov method is the use of Lyapunov functions (LF) or energy like ...The Lyapunov stability analysis method for uniform asymptotic stability ...

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Extension of Higher Order Derivatives of Lyapunov Functions in Stability Analysis of Nonlinear Systems

Extension of Higher Order Derivatives of Lyapunov Functions in Stability Analysis of Nonlinear Systems

... the Lyapunov stability theory with some inequalities for the higher order derivatives v ( ) i ( , ) t x of the LF ...the stability of nonlinear systems and the converses of them are not true, ...

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Lyapunov stochastic stability and control of robust dynamic coalitional games with transferable utilities

Lyapunov stochastic stability and control of robust dynamic coalitional games with transferable utilities

... using Lyapunov stochastic stability ...of Lyapunov stability theory to concepts of approachability and ...assure stability of the coalitions in average, and as a result capture patience ...

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Lyapunov-Max-Plus-Algebra Stability in Predator-prey Systems Modeled with Timed Petri Net

Lyapunov-Max-Plus-Algebra Stability in Predator-prey Systems Modeled with Timed Petri Net

... the Lyapunov stability theory, we will obtain the sufficient condition for the stabilization problem and the periodic duration of the oscillation will be also ...

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The eigenvalue product bounds of the Lyapunov matrix differential equation and the stability of a class of time varying nonlinear system

The eigenvalue product bounds of the Lyapunov matrix differential equation and the stability of a class of time varying nonlinear system

... The Lyapunov matrix differential equation plays an important role in many scientific and engineering ...the Lyapunov matrix differential equation into an eigenvalue differential ...the Lyapunov matrix ...

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Lur’e Postnikov Lyapunov function approach to global robust Mittag Leffler stability of fractional order neural networks

Lur’e Postnikov Lyapunov function approach to global robust Mittag Leffler stability of fractional order neural networks

... the stability of a class of FNNs with delays was discussed, and some sufficient conditions were presented by applying Lyapunov functional ...asymptotic stability of FNNs with impulse ef- ...finite-time ...

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