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10.1109/TAC.2018.2874723

In this note, we use the Mazenc construction to design a simple strict Lyapunov function in a rather intuitive manner, based on a first-choice function whose derivative is negative semidefinite.

Strict Lyapunov Functions for Model Reference Adaptive Control: Application to Lagrangian Systems

10.1016/j.isatra.2019.12.012

In the stability analysis, a strict Lyapunov function and its conditions are studied to prove asymptotic stability for second-order systems and Lagrangian systems.

Robust tracking control for mechanical systems using only position measurements.

10.1109/CDC40024.2019.9029782

Two illustrative examples illustrate that the proposed scheme can be used to ensure UGES even though finding a common quadratic strict Lyapunov function is sometimes impossible for arbitrarily switched LTI systems.

New Control Design for Switched Linear Time-Invariant Systems under Arbitrary Switching

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10.1016/J.AST.2018.10.006

The finite-time stability of the closed-loop attitude control system is proved by using a continuously-differentiable, homogeneous and strict Lyapunov function.

Continuous finite-time extended state observer based fault tolerant control for attitude stabilization

10.1109/CDC40024.2019.9029842

First, a strict Lyapunov function is proposed for this dynamics and the conditions of strict passivity with a corresponding output are given.

On robust stability of sine-Gordon equation

10.1007/s11432-018-9437-x

Using the strict Lyapunov function, some sufficient conditions in terms of matrix inequalities are obtained for the boundary ISS of the closed-loop hyperbolic PDE-ODE systems.

Input-to-state stability of coupled hyperbolic PDE-ODE systems via boundary feedback control

10.1016/j.ifacol.2019.11.746

Strict Lyapunov functions for these systems are provided.

Practical examples of ISS systems

10.1109/CDC40024.2019.9029691

For a linear parameterization of the unknown parameters, a new strict Lyapunov function construction method is first presented for I&I adaptive control systems using the notion of integral inputto-state stability (iISS).

Adaptive Tracking Control via Immersion and Invariance: An (i)ISS Perspective

10.1109/LCSYS.2018.2879043

More significantly, for the first time in the literature, a strict Lyapunov function is provided and uniform global asymptotic stability for the closed-loop system is established.

Consensus of Multi-Agent Systems With Nonholonomic Restrictions via Lyapunov’s Direct Method

10.23919/ACC.2019.8814870

This paper proposes strict Lyapunov functions (SLFs) for the Saturated-Proportional-Saturated-Derivative with gravity cancellation controller for the case when the robot manipulator has non-ideal actuators and without taking into account the viscous friction in the model.

A Strict Lyapunov Function for the Finite-Time Regulation of Robot Manipulators with Bounded Inputs

10.1093/IMAMCI/DNX056

When a nonlinear system has a strict Lyapunov function, its stability can be studied using standard tools from Lyapunov stability theory.

Stability of time-varying systems in the absence of strict Lyapunov functions

10.1007/S12555-018-0178-7

Asymptotic stability of the closed loop system is proven using a Strict Lyapunov Function.

Stability Analysis of a Visual PID Controller Applied to a Planar Parallel Robot

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Strict Lyapunov Function
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Strict Lyapunov - In this note, we use the Mazenc construction to design a simple strict Lyapunov function in a rather intuitive manner, based on a first-choice function whose derivative is negative semidefinite. [1] In the stability analysis, a strict Lyapunov function and its conditions are studied to prove asymptotic stability for second-order systems and Lagrangian systems. [2] Two illustrative examples illustrate that the proposed scheme can be used to ensure UGES even though finding a common quadratic strict Lyapunov function is sometimes impossible for arbitrarily switched LTI systems. [3] The finite-time stability of the closed-loop attitude control system is proved by using a continuously-differentiable, homogeneous and strict Lyapunov function. [4] First, a strict Lyapunov function is proposed for this dynamics and the conditions of strict passivity with a corresponding output are given. [5] Using the strict Lyapunov function, some sufficient conditions in terms of matrix inequalities are obtained for the boundary ISS of the closed-loop hyperbolic PDE-ODE systems. [6] Strict Lyapunov functions for these systems are provided. [7] Finally, strict Lyapunov analysis is provided to show the globally finite-time stability of the closed-loop sliding mode system and an application to Buck converter is presented. [8] For a linear parameterization of the unknown parameters, a new strict Lyapunov function construction method is first presented for I&I adaptive control systems using the notion of integral inputto-state stability (iISS). [9] More significantly, for the first time in the literature, a strict Lyapunov function is provided and uniform global asymptotic stability for the closed-loop system is established. [10] For this new architecture we first prove a stability and performance analysis test, based on certain strict Lyapunov conditions, and show that these reduce to LMIs when using quadratic Lyapunov certificates. [11] For a realistic structure preserving power system with voltage dependent loads, we propose a sufficient condition based on a strict Lyapunov energy function, which is utilized to design a nonlinear adaptive SVC controller. [12] This paper proposes strict Lyapunov functions (SLFs) for the Saturated-Proportional-Saturated-Derivative with gravity cancellation controller for the case when the robot manipulator has non-ideal actuators and without taking into account the viscous friction in the model. [13] When a nonlinear system has a strict Lyapunov function, its stability can be studied using standard tools from Lyapunov stability theory. [14] Asymptotic stability of the closed loop system is proven using a Strict Lyapunov Function. [15]

strict lyapunov function

In this note, we use the Mazenc construction to design a simple strict Lyapunov function in a rather intuitive manner, based on a first-choice function whose derivative is negative semidefinite. [1] In the stability analysis, a strict Lyapunov function and its conditions are studied to prove asymptotic stability for second-order systems and Lagrangian systems. [2] Two illustrative examples illustrate that the proposed scheme can be used to ensure UGES even though finding a common quadratic strict Lyapunov function is sometimes impossible for arbitrarily switched LTI systems. [3] The finite-time stability of the closed-loop attitude control system is proved by using a continuously-differentiable, homogeneous and strict Lyapunov function. [4] First, a strict Lyapunov function is proposed for this dynamics and the conditions of strict passivity with a corresponding output are given. [5] Using the strict Lyapunov function, some sufficient conditions in terms of matrix inequalities are obtained for the boundary ISS of the closed-loop hyperbolic PDE-ODE systems. [6] Strict Lyapunov functions for these systems are provided. [7] For a linear parameterization of the unknown parameters, a new strict Lyapunov function construction method is first presented for I&I adaptive control systems using the notion of integral inputto-state stability (iISS). [8] More significantly, for the first time in the literature, a strict Lyapunov function is provided and uniform global asymptotic stability for the closed-loop system is established. [9] This paper proposes strict Lyapunov functions (SLFs) for the Saturated-Proportional-Saturated-Derivative with gravity cancellation controller for the case when the robot manipulator has non-ideal actuators and without taking into account the viscous friction in the model. [10] When a nonlinear system has a strict Lyapunov function, its stability can be studied using standard tools from Lyapunov stability theory. [11] Asymptotic stability of the closed loop system is proven using a Strict Lyapunov Function. [12]