In this article, we consider the ergodic optimization of top Lyapunov exponent. We prove that there is a unique maximising measure exponent for typical matrix cocyles. By using results obtain, in any nonuniquely minimal dynamical system, Lyapunov-irregular points are

Design automation of one-of-a-kind engineering systems is considered a particularly challenging problem (Adeli 1994). Adeli and his associates have been working on creating novel design theories and computational models with two broad objectives: (1) automation and (2) optimization (Adeli and Hung 1995; Adeli and Kamal 1993; Adeli and Zhang 1993; Adeli and Yeh 1989; Adeli and Balasubramanyam 19...

The generalized methodology for the electronic networks optimization was elaborated by means of the optimal control theory approach. In this case the problem of the electronic system design is formulated as a classical problem of functional minimization of the optimal control theory. The minimal time system design algorithm was defined as a controllable dynamic process with an optimal control v...

This paper presents a simple approach to low-thrust optimal-fuel and optimal-time transfer problems between two elliptic orbits using the Cartesian coordinates system. In this case, an orbit is described by its specific angular momentum and Laplace vectors with a free injection point. Trajectory optimization with the pseudospectral method and nonlinear programming are supported by the initial g...

Although control Lyapunov functions (CLFs) provide a mature framework for the synthesis of stabilizing controllers, their application in the field of hybrid systems remains scarce. One of the reasons for this is conservativeness of Lyapunov conditions. This article proposes a methodology that reduces conservatism of CLF design and is applicable to a wide class of discrete-time nonlinear hybrid ...

Two recent Lyapunov-based methods have significantly improved the stability analysis of time-delay systems: the delay-fractioning approach of Gouaisbaut and Peaucelle (2006) for systems with constant delays and the convex analysis of systems with time-varying delays of Park and Ko (2007). In this paper we develop a convex optimization approach to stability analysis of linear systems with interv...

In this paper, we investigate the problem of mini-mizing the summation of energy cost and thermal discomfort costin a long-term time horizon for a sustainable smart home withan HVAC (Heating, Ventilation, and Air Conditioning) load con-sidering uncertainties in electricity price, outdoor temperature,renewable generation output, electrical demand, most comfort-able temper...

In this paper, we focuses on the observer design problem for nonlinear neutral systems. The problem addressed that of designing a full-order observer that guarantees the asymptotically stable of the error dynamic system. The sufficient stability conditions are derived via Lyapunov–Krasovskii functionals (LKF). When these conditions, which are given in terms of linear matrix inequalities (LMIs),...

This paper considers utility optimal power control for energy harvesting wireless devices with a finite capacity battery. The distribution information of the underlying wireless environment and harvestable energy is unknown and only outdated system state information is known at the device controller. This scenario shares similarity with Lyapunov opportunistic optimization and online learning bu...