Some theoretical investigations of large angle attitude manoeuvres have been based on the app l i ca ti on of Lyapunov' s stability theory. With this method r1ortensen derived stable control laws for performing attitude manoeuvres with either thrusters or reaction wheels. Previous results were idealized in that they i qnored the non l i neari ti es inherent in the opera ti on of both types of a...

This paper deals with an efficient algorithm for dampers’ viscosity optimization in mechanical systems. Our algorithm optimizes the trace of the solution of the corresponding Lyapunov equation using an iterative method which calculates a low rank Cholesky factor for the solution of the corresponding Lyapunov equation. We have shown that the new algorithm calculates the trace in O(m) flops per i...

A Lyapunov Approach to Accelerated First-Order Optimization In Continuous and Discrete Time

Keywords--Design automation, Neural networks, minimum weight design, Lyapunov function, optimization, trusses

The problem addressed in this paper is the construction of homogeneous polynomial Lyapunov functions for linear systems with time-varying structured uncertainties. A sufficient condition for the existence of a homogeneous polynomial Lyapunov function of given degree is formulated in terms of a Linear Matrix Inequalities (LMI) feasibility problem. This condition turns out to be also necessary in...

The prospect of using quantum computers to solve combinatorial optimization problems via the approximate algorithm (QAOA) has attracted considerable interest in recent years. However, a key limitation associated with QAOA is need classically optimize over set circuit parameters. This classical can have significant costs and challenges. Here, we provide an expanded description Lyapunov control-i...

Heart chaotic system and the ability of particle swarm optimization (PSO) method motivated us to benefit the method of chaotic particle swarm optimization (CPSO) to synchronize the heart three-oscillator model. It can be a suitable algorithm for strengthening the controller in presence of unknown parameters. In this paper we apply adaptive control (AC) on heart delay model, also examine the sys...

In this paper, an iterative technique is proposed to solve linear integrated active/passive design problems. The optimality of active and passive parts leads to the nonlinear algebraic Riccati equation due to the active parameters and some associated additional Lyapunov equations due to the passive parameters. Rather than the solution of the nonlinear algebraic Riccati equation, it is proposed ...

with x an n-dimensional vector, A a constant square matrix of order n, and Q a square matrix of order n, quasiperiodic in time t. We say that a change of variables x = P(t)y is a Lyapunov-Perron (LP) transformation if P(t) is nonsingular and P(t), P−1(t), and Ṗ (t) are bounded for all t ∈R. Moreover, if P , P−1, and Ṗ are quasiperiodic in time t, we refer to x = P(t)y as a quasiperiodic LP tran...