Global ETD Search
Search theses and dissertations gathered from participating repositories worldwide. Every result links back to the library that holds it. No account is needed.
Results
Showing 1 to 20 of 52 for “"Lyapunov function"”.
-
Nonlinear control with two complementary Lyapunov function
If a Lyapunov function is known, a dynamic system can be stabilized. However, computing or selecting a Lyapunov function is often challenging. This dissertation presents a new approach which eliminates this challenge: a simple control Lyapunov function [CLF] is assumed then the algorithm seeks to …
-
Almost Lyapunov functions
… dynamical system that verifies the classical Lyapunov criterion is globally asymptotically stable for the case when the Lyapunov function is strictly decreasing along the solution. We define an almost Lyapunov function to be a candidate Lyapunov function whose derivative with respect to time …
-
Computation of Lyapunov functions and stability of interconnected systems
… we investigate the problems of computation of Lyapunov functions and stability analysis of interconnected systems. In Chapter 1, preliminary results about stability, definitions of Lyapunov functions and triangulations are presented. In order to analyse stability of interconnected systems in …
-
A Two-Dimensional Systems Stability Analysis of Vehicle Platoons
… are developed using a two-dimensional quadratic Lyapunov function and linear matrix inequalities. It is shown that systems permitting a two-dimensional Lyapunov function with a negative definite divergence are exponentially stable. It is proven, however, that two-dimensional systems with a …
-
Algebraic relaxations and hardness results in polynomial optimization and Lyapunov analysis
… on existence of polynomial and sum of squares Lyapunov functions. We present a globally asymptotically stable polynomial vector field with no polynomial Lyapunov function. We show via an explicit counterexample that if the degree of the polynomial Lyapunov function is fixed, then sos …
-
Some tracking problems for aerospace models with input constraints
… a Matrosov approach for converting a nonstrict Lyapunov function for the UAV tracking dynamics into a strict one, in conjunction with asymptotic strict Lyapunov function methods and bounded backstepping.
-
Lyapunovfunctions in epidemiological modeling
In this mini thesis, we study the application of Lyapunov functions in epidemiological modeling. The aim is to give an extensive discussion of Lyapunov functions, and use some specific classes of epidemiological models to demonstrate the construction of Lyapunov functions. The study begins with a …
-
OPTIMAL CONTROL DESIGN FOR POLYNOMIAL NONLINEAR SYSTEMS USING SUM OF SQUARES TECHNIQUE WITH GUARANTEED LOCAL OPTIMALITY
… performance index. Next, we utilize the density function method to find a globally stabilizing polynomial nonlinear control for the nonlinear system. In the third step, we find a corresponding Lyapunov function for the designed control in the previous steps based on the Hamilton Jacobi inequality …
-
Observer-based event-triggered and set-theoretic neuro-adaptive controls for constrained uncertain systems
… for maintaining a tight formation precision. Lyapunov function-based stability analysis and numerical results are presented. Note that most real-world systems involve constraints due to hardware limitations, disturbances, uncertainties, nonlinearities, and cannot always be efficiently …
-
Non-monotonic Lyapunov functions for stability of nonlinear and switched systems : theory and computation
Lyapunov's direct method, which is based on the existence of a scalar function of the state that decreases monotonically along trajectories, still serves as the primary tool for establishing stability of nonlinear systems. Since the main challenge in stability analysis based on Lyapunov theory is …
-
Decoupled Stability Analysis of Power Systems With Slow and Fast Dynamics
… On a higher hierarchy, a weighted sum of the Lyapunov functions of the decoupled slow and fast subsystems is used as a Lyapunov function for the original two-time-scale system, thus accounting for the effect of the small coupling terms. Two case studies confirm the improved accuracy of the …
-
Resource allocation in stochastic processing networks : performance and scaling
… a maximal inequality derived from the standard Lyapunov drift condition. As a corollary, we establish the full state space collapse property when [alpha] > 1. In the steady-state regime, for any [alpha] >/= 0, we obtain explicit exponential tail bounds on the queue sizes, by relying on a …
-
Robust adaptive control of uncertain nonlinear systems
… unknown parameters, unknown nonlinear systems functions, unknown disturbances, and unknown time delays. Systematic controller designs are presented using backstepping methodology, neural network parametrization and robust adaptive control. The results are derived based on rigorous Lyapunov …
-
APPLICATION OF ARTIFICIAL INTELLIGENCE TO STATIC VAR SOURCE CONTROL FOR IMPROVING POWER SYSTEM DAMPING
… the rule base of FLC. The second is based on Lyapunov function analysis and applies bang-bang control theory. With the FLC controllers, the total SVC control configuration is composed of a conventional voltage regulation branch as well as an auxiliary FLC branch arranged in parallel. Control …
-
Design, Analysis, Planning, and Control of a Novel Modular Self-Reconfigurable Robotic System
… as humanoid configuration to enable enhanced functionality to reconfigure into a configuration that would enable the system to cross over a ditch. A non-back drivable active docking mechanism with two Degrees of Freedom (DOFs) was designed to fit into the tracked units of the robot modules for …
-
A General Framework for the Control of Nonlinear Systems
… Matrix Inequality (LMI) constraints. A Lur'e-Lyapunov function is used, and general properties of the nonlinear elements are exploited to reduce conservatism. The stability analysis conditions are extended to allow the quantification of the performance, measured in terms of a worst-case …
-
General incentives in finite game theory
… will be introduced. The concept of an incentive function will be defined so that it is compatible with the updating protocol defined in Nash's proof of existence of equilibrium in all finite games. A general notion of incentive equilibrium will be defined as the fixed points of the updating …
-
Predictive Control For Dynamic Systems To Track Unknown Input In The Presence Of Time Delay
… of the proposed predictive control system, the Lyapunov function is constructed. It is shown that the designed system is asymptotically stable when input signal is rather low frequency signal. In order to illustrate the system performance, simulations are done based on the data profile …
-
Impact of stochastic loads and generations on power system transient stability
… is based on a deterministic transient energy function. However, such a deterministic analysis does not provide a realistic evaluation of system transient performance where the intermittency and variability of energy production associated with any renewable technology needs to be reflected and …
Page 1 of 3