This paper gives necessary and sufficient conditions under which an affine nonlinear system is feedback equivalent to a port controlled Hamiltonian system. In particular, we identify the minimum number of linear partial differential equations that need to be solved to achieve this transformation. Copyright c ©2005 IFAC.

In this lecture, we investigate the existence of a state feedback control and a change of coordinates that transform a nonlinear control system affine in the inputs into an equivalent linear system. The treatment corresponds to selected parts from Chapter 9 in [1], Chapter 13 in [2], and Chapter 4 in [3].

In order to approximate any nonlinear system, not just affine nonlinear systems, generalized T-S fuzzy systems, where the control variables and the state variables, are all premise variables are introduced in the paper. Firstly, fuzzy spaces and rules were determined by using ant colony algorithm. Secondly, the state-space model parameters are identified by using genetic algorithm. The simulati...

This paper presents a novel method to enhance the performance of traditional speaker adaptation algorithm using discriminative adaptation procedure based on a novel confidence measure and non-linear weighting. Regardless of the distribution of the adaptation data, traditional model adaptation methods incorporate the adaptation data undiscriminatingly. When the data size is small and the paramet...

This paper deals with piecewise affine (PWA) approximation of nonlinear systems. Its motivation is simple. If the controlled plant exhibits nonlinear behavior, linear controller based on linearized model may often be unable to achieve satisfactory performance. On the other hand, intrinsic complexity of the nonlinear controller based on full nonlinear model may prevent it from practical applicat...

During the development of floating-point signal processing systems, an efficient error analysis method is needed to guarantee the output quality. We present a novel approach to floating-point error bound analysis based on affine arithmetic. The proposed method not only provides a tighter bound than the conventional approach, but also is applicable to any arithmetic operation. The error estimati...

Symmetric systems comprise identical subsystems coupled identically to each other. In most applications, these open-loop symmetrically-coupled subsystems have common feeds into other systems and feedback from other systems. Subsystems are often coupled symmetrically to achieve a large system rating as well as to improve reliability of the overall system through redundancy. Even if the individua...

A series of systems of nonlinear equations with affine Weyl group symmetry of type A (1) l is studied. This series gives a generalization of Painlevé equations P IV and PV to higher orders. Introduction In this paper we propose a series of systems of nonlinear differential equations which have symmetry under the affine Weyl groups of type A (1) l (l ≥ 2). These systems are thought of as higher ...

In this letter, we propose an incremental abstraction method for dynamically over-approximating nonlinear systems in a bounded domain by solving sequence of linear programs, resulting affine upper and lower hyperplanes with expanding operating regions. Although the problem can be solved using single program, existing approaches suffer from computation space complexity that grows exponentially s...

An optimal control law for a general nonlinear system can be obtained by solving Hamilton-Jacobi-Bellman equation. However, it is difficult to obtain an analytical solution of this equation even for a moderately complex system. In this paper, we propose a continuoustime single network adaptive critic scheme for nonlinear control affine systems where the optimal cost-to-go function is approximat...