Search
Search Results
-
4 Continuous-time Systems: Tracking Control
In this chapter we treat the problem of H∞ tracking with stochastic multiplicative white noise. We extend the work of [98], which does not involve...
-
6 Stochastic Passivity
Passivity of deterministic linear systems plays an important role in network theory and in adaptive control. The fact that a system is passive...
-
C Appendix: The Discrete DLMI Method
We consider the following system: $$ x_{k+1}=A_kx_k + B_k w_k, \quad k=0,1,...
-
Stability of Nonlinear Hybrid Systems
This work is devoted to stability of nonlinear hybrid systems (or nonlinear systems with regime switching). The switching regime is described by a...
-
Gyroscopic Forces and Collision Avoidance with Convex Obstacles
This paper introduces gyroscopic forces as an tool that can be used in addition to the use of potential forces in the study of collision and convex...
-
Minimax Nonlinear Control under Stochastic Uncertainty Constraints
We consider in this paper a class of stochastic nonlinear systems in strict feedback form, where in addition to the standard Wiener process there is...
-
The Uncertain Generalized Moment Problem with Complexity Constraint
This paper is dedicated to Arthur Krener – a great researcher, a great teacher and a great friend – on the occasion of his 60th birthday. In this...
-
Symmetries and Minimal Flat Outputs of Nonlinear Control Systems
Consider a nonlinear control system of the form $\Pi : \dot{x}=F(x,u)$ ,...
-
On Absolute Stability of Convergence for Nonlinear Neural Network Models
This paper deals with a class of large-scale nonlinear dynamical systems, namely the additive neural networks. It is well known that convergence of...
-
A Novel Design Approach to Flatness-Based Feedback Boundary Control of Nonlinear Reaction-Diffusion Systems with Distributed Parameters
Differential flatness has proven to be a very powerful approach for analysis and design of open-loop and stabilizing feedback tracking control for...
-
Simulating a Motorcycle Driver
Controlling a riderless bicycle or motorcycle is a challenging problem because the dynamics are nonlinear and non-minimum phase. Further difficulties...
-
On the Steady-State Behavior of Forced Nonlinear Systems
The purpose of this paper is to discuss certain aspects of the asymptotic behavior of finite-dimensional nonlinear dynamical systems modeled by...
-
A Appendix: Introduction to Stochastic Differential Equations
In this appendix we bring some basic results concerning stochastic differential equations of the Ito type which systems with state-multiplicative...
-
3 Continuous-time Systems: General Filtering
In this chapter we bring the solution of the continuous-time stationary filtering using a general-type filter [45], [41]. Recently, the solution of...
-
10 Discrete-time Systems: Static Output-feedback
In this chapter we bring the solution of the discrete-time counterpart of Chapter 5 where we solve both the H2 and the H∞ static output-feedback...
-
7 Discrete-time Systems: Control and Luenberger-type Filtering
In this chapter we bring the discrete-time counterpart of Chapter 2 where we solve the state-feedback control and filtering problems with the aid of...
-
11 Systems with State-multiplicative Noise: Applications
In order to demonstrate the application of the theory developed in Chapter 3, we consider the problem of altitude estimation with measurements from a...
-
Bifurcations of Control Systems: A View from Control Flows
The purpose of this paper is to discuss bifurcation problems for control systems viewing them as dynamical systems, i.e., as control flows. Here open...
-
Stabilization via Polynomial Lyapunov Function
In this paper we summarize some recent results on local state feedback stabilization of a nonlinear system via a center manifold approach. A...
-
Observability Normal Forms
One of the first definitions and characterizations of nonlinear observability was given in the well known paper of R. Hermann and A.J. Krener [18],...