In this paper, adaptive control of a class of nonlinear discrete time dynamical systems with boundedness of all signals is established by using a linear robust adaptive controller and a neural network based nonlinear adaptive controller, and switching between them by a suitably defined switching law. The linear controller, when used alone, assures boundedness of all the signals but not satisfac...

We formulate a robust optimal control problem for a general nonlinear system with finitely many admissible control settings and with costs assigned to switching of controls. We formulate the problem both in an L2-gain/dissipative system framework and in a game-theoretic framework. We show that, under appropriate assumptions, a continuous switching-storage function is characterized as a viscosit...

A dynamical systems based model of computation is studied. We demonstrate the computational capability of a class of dynamical systems called switching map systems. There exists a switching map system with two types of baker's map to emulate any Turing machines. The baker's maps are corresponding to the elementary operations of Turing machines such as left/right head-moving and read/write symbo...

In this paper, we discuss stabilization problem for a class of switched nonlinear systems whose subsystem with trigonal structure. A backstepping switching control design is given. Based on backsteppping approach, stabilizer and a switching law are designed for such systems. The stabilization of the resulting closed-loop systems is proved via common Lyapunov function method.

In the last decade, switched systems have gained much attention since a large class of practical systems can be modeled as switched systems (see e.g., (Dayawansa & Martin, 1999)) and there exist systems that cannot be asymptotically stabilized by a single continuous feedback control law (see e.g., (Brockett, 1983)). For stability analysis of switched systems, many interesting results have been ...

In this paper, the problems of stability analysis and H∞ controller design of a class of switched nonlinear systems are investigated. In a classical way, the modeling of the systems is approached by switched fuzzy systems, and both fast switching and slow switching are considered there. In particular, for slow switching scheme, a new mode-dependent average dwell time switching is proposed for t...