This paper presents a simple method for creating and animating deformable surfaces using physically-based modeling. We represent a deformable surface as particle systems. Simple methods, such as, analytical solutions of the motion equations, discretization and time-step method, are used to solve the simulation equations. So, the surfaces have better stability and much faster speed of calculatio...

Two efficient and numerically stable methods for the computation of the largest p Lyapunov characteristic exponents of an n dimensional discrete dynamical systems are presented.

This paper studies the stability of a stochastic optimal growth economy introduced by Brock and Mirman [J. Econ. Theory 4 (1972)] by utilizing stochastic monotonicity in a dynamic system. The construction of two boundary distributions leads to a new method of studying systems with noncompact state space. The paper shows the existence of a unique invariant distribution. It also shows the equival...

We present an approach to model reduction for linear dynamical systems that is numerically stable, computationally tractable even for very large order systems, produces a sequence of monotone decreasing H2 error norms, and (under modest hypotheses) is globally convergent to a reduced order model that is guaranteed to satisfy first-order optimality conditions with respect to H2 error.

In this paper, a novel method is developed for designing the output feedback controller for Static Synchronous Series Compensator (SSSC). In the proposed method, the problem of selecting the output feedback gains for the SSSC controllers is changed into an optimization problem with a time domain-based objective function.Then, it is solved by using the particle swarm optimization (PSO) algorithm...

in this paper, a new alternative method for order reduction of high order systems is presented based on optimization of multi objective fitness function by using harmony search algorithm. at first, step response of full order system is obtained as a vector, then, a suitable fixed structure considered for model order reduction which order of original system is bigger than fixed structure model. ...

This paper presents the basic concepts of stability in fuzzy linguistic models. Theauthors have proposed a criterion for BIBO stability analysis of fuzzy linguistic modelsassociated to linear time invariant systems [25]-[28]. This paper presents the basic concepts ofstability in the general nonlinear and linear systems. This stability analysis method is verifiedusing a benchmark system analysis.

In the above paper, it was shown by way of an example that there exist bounded-input–bounded-output (BIBO) unstable linear systems whose transfer functions are analytic in the finite plane. We note that this result could easily be shown by using some examples already present in the literature.

In this article, we study the nonlinear dynamics of a quadratic system in the three dimensional space which can be obtained from a scalar third order differential equation. More precisely, we study the stability and bifurcations which occur in a parameter dependent quadratic system in the three dimensional space. We present an analytical study of codimension one, two and three Hopf bifurcations...

A control strategy is described for globally stabilizing ANCBI linear plants subject to input constraints in the presence of persistent arbitrarily large but bounded disturbances. Unlike the disturbance-free case, the presence of persistent disturbances imposes critical structural conditions on the disturbance-to-state map of the system in order to achieve global internal asymptotic and global ...