Lyapunov functions and
Hybrid Predictive Control Based on High Order Differential State Observers and Lyapunov Functions for Switched Nonlinear Systems
... on Lyapunov functions have been developed, which can give an explicitly characterized set of initial conditions from which the closed-loop system is stable ...the Lyapunov-based design methods into ...
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Robust constrained model predictive control based on parameter-dependent Lyapunov functions
... parameter-dependent Lyapunov functions are proposed in terms of linear matrix inequalities (LMIs), which will reduce the conservativeness resulting from using a single Lya- punov ...parameter-dependent ...
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Lyapunov functions for linear nonautonomous dynamical equations on time scales
... Lyapunov functions are a very useful tool for investigating the behaviour of dynamical equations. They have been used now for over a century for differential equations of many types [15] as well as difference ...
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Lyapunov functions and strict stability of Caputo fractional differential equations
... the Lyapunov approach. However, the Lyapunov approach to fractional differential equations causes many ...of Lyapunov functions to study a nonlinear Caputo fractional differential equation is ...
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1.LYAPUNOV FUNCTIONS FOR H-DICHOTOMY OF LINEAR DISCRETE-TIME SYSTEMS
... Proof. It is an immediate consequence of Theorems 5.1 and 4.2. A necessary condition for h-dichotomy in terms of Lyapunov functions is Corollary 5.2. Let h be a growth rate which satisfies the hypothesis (H ...
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Stabilization of a class of fractional order nonautonomous systems using quadratic Lyapunov functions
... fractional Lyapunov di- rect method in stability analysis of fractional-order ...simple Lyapunov function V = λ T x, λ > 0 has been proposed to solve the stabilization problem for fractional-order linear ...
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Remarks on Input-to-State Stability and Non-Coercive Lyapunov Functions
... In this paper we have investigated the question to what extent the existence of a noncoercive ISS Lyapunov function implies that a forward complete system is ISS. It was shown that the property of ...
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Stabilizing Controller Design for a Special Class of PWA Systems using Discontinuous Piecewise Quadratic Lyapunov Functions
... PWQ Lyapunov functions, using discontinuous PWQs will decrease the conservation as the search space to find such functions is wider in comparison to continuous ...
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Nonlinear Control of Interior PMSM Using Control Lyapunov Functions
... finding Lyapunov functions; in some cases they are natural energy func- tions for mechanical or electrical systems, in other cases it is just a matter of trial and error ...converse Lyapunov theorems ...
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TIME-VARYING LYAPUNOV FUNCTIONS AND LYAPUNOV STABILITY OF NONAUTONOMOUS FRACTIONAL ORDER SYSTEMS
... time-varying Lyapunov functions in order to analyse the stability of fractional order ...of Lyapunov functions, inequalities along with fractional Lyapunov direct method for the ...
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Weak Lyapunov functions for hybrid dynamical systems: applications to electrical and mechanical systems
... hybrid Lyapunov stability tools described in Sec- tion 2 ...suitable Lyapunov function tailored on the kinetic and potential energies just after and just before a ...
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Extension of Higher Order Derivatives of Lyapunov Functions in Stability Analysis of Nonlinear Systems
... v t x in the Lyapunov stability theory with some inequalities for the higher order derivatives v ( ) i ( , ) t x of the LF candidate. The inequalities are presented and are solved using a new controllable ...
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Approximate Explicit MPC and Closed-loop Stability: Analysis based on PWA Lyapunov Functions
... Assume now that both parametric and additive disturbances are present, with K A = 1 and K E = 10 − 2 . Even though the additive disturbance is a relatively small one, we already know that the system is not uniformly ...
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Cone valued Lyapunov functions and Lipschitz stability of nonlinear systems of differential equations
... We also introduce new concepts of 0-uniform Lipschitz stability and t,,k, 0-practical stability and employ our comparison result to carry out stability analysis of nonlinear systems.. Ou[r] ...
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Generation of Lyapunov Functions by Neural Networks
... continuous functions over a compact region D ⊆ X ...a Lyapunov function of an asymptotically stable ...a Lyapunov function based on information related to their input-output ...a Lyapunov ...
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Existence and Stability of Antiperiodic Solution for a Class of Generalized Neural Networks with Impulses and Arbitrary Delays on Time Scales
... and Lyapunov functions, we study the existence and global exponential stability of antiperiodic solutions for a class of generalized neural networks with impulses and arbitrary delays on time ...
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Extinction and recurrence of multi-group SEIR epidemic
... stochastic Lyapunov functions and the techniques in probability theory to investigate its asymptotic ...stochastic Lyapunov functions combing with a graph-theoretical approach to obtain its ...
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Real-Time Implementation and Analysis of a Modified Energy Based Controller for the Swing-Up of an Inverted Pendulum on a Cart
... Abstract—In this paper we derive a modified energy based swing-up controller using Lyapunov functions. During the deriva- tion, all effort has been made to use a more complex dynamical model for the single ...
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On Two Problems for Matrix Polytopes
... Conclusion Two important problems from control theory are considered: the existence of common quadratic Lyapunov functions for switched linear systems and the existence of a stable membe[r] ...
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On stability and boundedness of solutions of a certain fourth order delay differential equation
... used Lyapunov functions to give sufficient conditions for stability and boundedness of a first-order and a second-order delay differential.. utilized his theorems to determine stability [r] ...
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