In this paper, we describe an approach for deriving control laws for linear hybrid systems given the phase transition system and the global invariance. After illustrating the method, we show that the approach can be applied for purposes of veriication, viability and discuss extensions to nonlinear hybrid systems.

This paper considers the problems of stability and filtering for a class of linear hybrid systems with nonlinear uncertainties and Markovian jump parameters. The hybrid system under study involves a continuous-valued system state vector and a discretevalued system mode. The unknown nonlinearities in the system are time-varying and norm-bounded. The Markovian jump parameters are modelled by a Ma...

It is my great pleasure to welcome Daniel Liberzon, a professor at the University of Illinois Urbana-Champaign, as the next editor for the nonlinear systems and control area within Automatica. Daniel is well known in the nonlinear systems and control field for a vast array of contributions, including his pioneering work on switched nonlinear systems. I am especially pleased that Daniel’s resear...

The objective of this paper is to solve the controller synthesis problem for bisimulation equivalence in a wide variety of scenarios including discrete-event systems, nonlinear control systems, behavioral systems, hybrid systems and many others. This will be accomplished by showing that the arguments underlying proofs of existence and methods for the construction of controllers are extraneous t...

design of bridge deck with long-term strength, durability and permanence is a significant interest for engineers. one applicable solution to this challenge could be via using hybrid system consisting of conventional materials such as concrete and steel with frp plates which is also known as composite deck. since these deck are relatively new so their performance is not completely known. the pre...

The problem of disturbance rejection in the control of nonlinear systems with additive disturbance generated by some unforced nonlinear systems, was formulated and solved by {itshape Mukhopadhyay} and {itshape Narendra}, they applied the idea of increasing the order of the system, using neural networks the model of multilayer perceptron on several systems of varying complexity, so the objective...

This paper presents performance analysis of an adaptive Volterra/Hybrid equalizer in a nonlinear magneto-optic data storage channel. In a data storage system, nonlinear intersymbol interference (ISI) is one of the limiting factors for high storage density. Volterra and Hybrid (combination of linear and Volterra) equalizers are proposed and developed for compensation of nonlinear ISI. The use of...

Genetic Programming (GP) is a useful tool of nonlinear model building, however a simple use of GP often fails in numeric optimization since GP hangs on random number sampling in searching appropriate constant parameters in individual representing each model candidate. From this viewpoint a hybrid GP based nonlinear system identification method is proposed in this paper. We introduce a simple nu...

Hybrid system identification aims at both estimating the discrete state or mode for each data point, and the submodel governing the dynamics of the continuous state for each mode. The paper proposes a new method based on kernel regression and Support Vector Machines (SVM) to tackle this problem. The resulting algorithm is able to compute both the discrete state and the submodels in a single ste...