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H ∞ state feedback control of discrete-time Markov jump linear systems through linear matrix inequalities
(2011-12-01)
This paper addresses the H ∞ state-feedback control design problem of discretetime Markov jump linear systems. First, under the assumption that the Markov parameter is measured, the main contribution is on the LMI ...
A set of linear equations to calculate the steady-state operation of an electrical distribution system
(2011-12-19)
In this paper, the calculation of the steady-state operation of a radial/meshed electrical distribution system (EDS) through solving a system of linear equations (non-iterative load flow) is presented. The constant power ...
Stochastic exponential stability of singular linear systems with Markov jump parameters
(2012-08-08)
This paper deals with exponential stability of discrete-time singular systems with Markov jump parameters. We propose a set of coupled generalized Lyapunov equations (CGLE) that provides sufficient conditions to check this ...
Optimal allocation of capacitors in radial distribution systems with distributed generation
(2011-12-19)
This paper presents a mixed-integer linear programming approach to solving the optimal fixed/switched capacitors allocation (OCA) problem in radial distribution systems with distributed generation. The use of a mixed-integer ...
Global optimization approach for the H2-norm model reduction problem
(1999-12-01)
A branch and bound algorithm is proposed to solve the H2-norm model reduction problem for continuous-time linear systems, with conditions assuring convergence to the global optimum in finite time. The lower and upper bounds ...
On the dynamic behaviour of a nonlinear system weakly connected to a linear single degree-of-freedom system
(2011-12-01)
This paper discusses the dynamic behaviour of a nonlinear two degree-of-freedom system consisting of a harmonically excited linear oscillator weakly connected to a nonlinear attachment that behaves as a hardening Duffing ...
Dynamics of a piecewise-linear oscillator with limited power supply
(2009-12-01)
We discuss dynamics of a vibro-impact system consisting of a cart with an piecewise-linear restoring force, which vibrates under driving by a source with limited power supply. From the point of view of dynamical systems, ...
Optimal linear control driven for piezoelectric non-linear energy harvesting on non-ideal excitation sourced
(2014-01-01)
Non-linear energy harvesting system was project to enhance interaction to ambient vibration that is wide band and low power which difficult the design for resonant solution. To improve efficiency of a non-linear design it ...
The LQ control problem for Markovian jumps linear systems with horizon defined by stopping times
(2004-11-29)
This paper deals with a stochastic optimal control problem involving discrete-time jump Markov linear systems. The jumps or changes between the system operation modes evolve according to an underlying Markov chain. In the ...
Stochastic Stability for Markovian Jump Linear Systems Subject to a Crucial Failure Event
(2003-11-07)
This paper is concerned with the stability of discrete-time linear systems subject to random jumps in the parameters, described by an underlying finite-state Markov chain. In the model studied, a stopping time τ Δ is ...